Friday, 15 December 2023

Determinism, Quantum Physics, and Free Will

I''ll begin this essay with a story. In 2011, having completed a Personal Growth course through Youthline, the free New Zealand youth phone counselling service, I graduated to a course intended to teach us wannabe counsellors phone counselling skills. At the first session a number of cards were given out to the group members, all of us sitting around on beanbags, each with an abstract multicoloured pattern or image on it, and we were each asked to choose the one we most identified with. I was drawn to two cards: the first was angular, sort of mathematical, and the second more free-wheeling, free-spirited. As the reader may guess, this game was New Agey pseudo-pyschological bullshit. I knew that the first card signified a personality with a kind of rational analytical way of looking at the world while the second indicated a personality more intuitive and emotional; I simply sensed this. Of course the students were not supposed to consciously realise which personality type each various card represented. At the time, I was torn between these two different ways of viewing myself but I was strongly drawn towards the first card. At the last moment, almost as though some force was propelling me, I selected the second card. It might be that I intuited that this was the card the others in the group would want me to select; perhaps the spell I was under somehow led me to the second card After I chose it, the two group facilitators beamed approvingly at me and told me that this was the card that they themselves would pick. It was almost as though some kind of supernatural force had influenced my choice. I will return to the significance of this moment later in the essay.

The purpose of this essay is, first, to critique the recent work of philosophy and science, Determined: Life Without Free Will by Robert Sapolsky, secondly to discuss quantum physics again, and thirdly to approach the idea of free will from a different perspective than that taken by Sapolsky. My aim in discussing quantum physics is to correct and clarify some ideas I presented in a recent post "Quantum Physics for Dummies and a New Idea". I will try to state my view of probability more clearly. Although it seems that in this essay I am attempting to cover quite different topics, there is significant overlap because some of Sapolsky's key arguments concern quantum physics.

A general comment first. I saw part of an interview with Robert Sapolsky by Lawrence Krauss and Sapolsky himself comes across as very nice man, although he has an evident tendency towards depression and a strong leaning towards biological fatalism. Sapolsky's intention in Determined is to disprove the existence of free will. Before I discuss Sapolksy's argument, I should remind reader that there is in fact a fairly simple well established argument against free will that runs as follows: A particular action by a person is the result of a deterministic chain of effects and causes that extends back to a time and place outside the person's 'control' or is initiated by a chance event or both. In no case can the person be said to be exercising free will because it seems intuitively obvious that a person cannot be held responsible for events that occurred in her environment, before she was born, or that occurred at random. If the reader wants to learn more about this argument, I recommend an old Youtube video "Compatibilism Debunked" by Alex O'Conner or his quite recent debate with Ben Shapiro. Alex's argument is informed by an essay, "The Powers of Rational Beings" by Peter van Inwagen but I suspect that those of us who have always been skeptical of the idea of free will have often arrived at this argument independently although few of us have articulated it in a philosophical essay or Youtube clip.

Although the argument above seems to me to inform Sapolsky's approach, his stated method is somewhat different. Sapolsky is attempting to show that science has disproved the idea of free will. Sapolsky is a professor of neuroscience but he is not attempting to show that neuroscience alone has disproved free will; rather he is saying that all the scientific disciplines taken together collectively show that free will does not exist. "Crucially, all these disciplines collectively negate free will because they are all interlinked, constituting the same ultimate body of knowledge." (p.9) Thus genetics, neurobiology, endocrinology, psychological theories concerning child development and later behaviours, sociology, and cultural anthropology, together with all the sciences I haven't listed, collectively leave no room for free will. "There's not a single crack of daylight to shoehorn in free will."(p.9) Implicit in his argument is the idea that this body of knowledge contains no holes, no puzzles, something that Rupert Sheldrake has, I believe, called "scientific triumphalism". Sapolsky sometimes, particularly in the section concerning genetics, seems to be trying to overwhelm the reader with jargon as if to say, "Don't try to say the science is wrong or incomplete because that will just signal to the world you are stupid; we scientists understand everything." 

Although I have argued consistently in this blog that free will does not exist, I am a contrarian and so intend in this essay to show that Sapolsky's arguments are flawed. I shall argue that the science is indeed incomplete. There is a particular aspect of Sapolsky's argument in particular that I think can be criticised: although the explicit aim of his book is to disprove the idea of free will, implicitly he is also seeking to show that any religious or mystical view is also incorrect, that the supernatural does not exist. In the world we live in, religious faith and a belief in free will go hand in hand; at the same time, it is common for atheists to deny that free will exists. However it is possible to believe in the supernatural and deny that free will exists (just as it is possible to be a materialist atheist and embrace the notion of free will as Daniel Dennett for instance does). It is possible to believe this without subscribing to Calvinism. One aim of this essay is to show that it may be possible to "shoehorn" in the supernatural. It may even be possible to somehow salvage the notion of "free will", something I will attempt at the end of the essay.

Even though I intend to criticise Sapolsky, I still think people should read his book. He is engaging and often funny and (usually) has his heart in the right place. The absolute best thing about the book is that he kills Evolutionary Psychology, the idea that our behaviour is genetically determined. (I don't intend to discuss this part of the book in this essay but refer the reader to Determined itself.) However I believe he makes mistakes. If you do read it, just remember that he is engaging in motivated reasoning and may be cherry picking studies that support his position.

To begin, I want to say something about the term 'consciousness'. Sapolsky, at the beginning of a section concerning whether or not free will needs to be conscious, says "I don't understand what consciousness is, can't define it" (p. 31). Sapolsky's bete noire, Daniel Dennett, has argued that free will exists but consciousness doesn't. People who either can't define the term 'consciousness' or argue that it doesn't exist at all have not really considered the meaning of the word. Presumably you, dear reader, are reading this on your computer or smart device – you are conscious of this essay, conscious of your computer or smart device, you are conscious of the furniture in the room. You are not conscious of the people in the next apartment over unless they start banging on the wall. More esoterically, you are presently conscious of some part of your mind and unconscious of other parts – you are not currently bringing into conscious awareness memories from your childhood for instance. Such memories can be described as subconscious because sometimes you bring them into the conscious part of your mind but at other times they sink back into the unconscious part. There may be constituents of your mind that you never bring into conscious awareness at all, such as the part of your mind or brain that regulates digestion – such constituents can proper be described as being part of the unconscious. The term 'consciousness' simply describes the activity of being conscious of things in either the outer or inner world. This seems self-evident to me. Those who struggle to understand it or deny that it exists must presumably be working with some loose definition of 'consciousness' that is wrong or which I cannot understand.

Sapolsky's discussion of consciousness comes in the context of an early chapter about experiments first carried out by Benjamin Libet in 1983. Subjects were asked to press a button when they felt like it and then report on when they decided to press it. During the experiment, subjects were hooked up to an EEG machine. What the experimenters found is that the brains of subjects decided to press the button about three hundred milliseconds before the subjects were consciously aware of having made the decision. This finding is of course supposed to be profound. However I would like to point out that the notion that our decisions are at least influenced and perhaps fully determined by unconscious mechanisms goes back at least as far as Sigmund Freud. Yes, some of Freud's ideas, such as the Oedipal complex, seem ridiculous now – but he should be given credit for pretty much inventing the concepts of the conscious and unconscious mind. Freud was of course completely ignorant of neuroscience but the neuroscientists who thought they'd made a major breakthrough in 1983 should at least have been a little aware of Freud. Moreover we cannot be certain that this highly artificial experiment proves that all our decisions are made unconsciously first. (In mentioning all this, I am not critiquing Sapolsky because Sapolsky himself says, when discussing scientific and philosophical debates arising from these experiments, "these Libetian debates [...] are irrelevant to thinking about free will." Sapolsky's purpose is to show that the chain of cause and effect that leads to an action, regardless of when that chain becomes conscious, never includes a juncture which we can describe as 'freely willed'.)

My first criticism of Determined concerns Sapolsky's uncritical acceptance of psychiatric labelling. Sapolsky argues very consistently through the second half of the book that psychiatric labels let people off the hook with respect to responsibility. We now, he argues, recognise that 'schizophrenia' is a 'brain disease' and so when, as very occasionally happens, someone diagnosed schizophrenic does something antisocial, we can say that the person is 'not guilty by reason of insanity'. Similarly if we recognise that Autism Spectrum Disorder is simply indicative of neurodiversity in the population, that bipolar disorder, ADHD, dyslexia, and other psychiatric conditions are neurological diseases and so nothing the people afflicted with them can do anything about, we can forgive people their eccentricities. Furthermore people with such conditions can forgive themselves, tell themselves "it's not my fault, it's my brain's fault." Sapolsky goes so far as to suggest that many people who are obese are not responsible for their obesity because they carry genes that affect their metabolism or how food tastes to them. The problem here is that Sapolsky simply assumes, without ever expressing it directly or explicitly defending this view, that such conditions are congenital, incurable, and lifelong. For instance, he cites research that has supposedly found that people destined for a diagnosis of 'schizophrenia' were often bedwetters as children. (Someone should tell Sarah Silverman this.) This could lead us to look for clusters of symptoms in children and diagnose them as 'pre-schizophrenic' – something that I think could constitute a self-fulfilling prophecy. Sapolsky's attitude to labels evinces his biological fatalism.

There are two ways to argue against Sapolsky here, the first to invoke a kind of Rupert-Sheldrake-inspired-magic and the second more materialist, more neurosciency. I'll describe the first way briefly. I suspect that labelling a person with a psychiatric disorder actually somehow supernaturally affects the person, is effectively equivalent to laying a curse on that person, and that if we really want to help the 'mentally ill', we need to totally change society's and psychiatry's whole way of viewing and understanding 'mental illness'. We need to recognise that it can be temporary, that it can arise in a person's life as a result of proximal circumstances and later pass away. A major reason why people usually don't recover from 'psychiatric disorders' is simply that everyone, including the afflicted sufferers, assume that they cannot.

I may have readers who find this idea a bit woo-woo and so I will sketch out another more rational seeming rejoinder. One idea in neuroscience that Sapolsky touches on but does not explore thoroughly is neuroplasticity. Consider first that if a person regularly works out at a gym and has the right type of endocrine system, he or she will gain muscle mass. The bones in the racket-holding arm of a tennis player will actually become stronger through continued use. Similarly, although a few decades ago people thought brain damage was irreparable, we now know the human brain can change and even fix itself. A person can have a stroke that impairs her ability to use language and through workaround solutions the brain of the person can reacquire this linguistic faculty. A famous example of a New Zealander who had a stroke, lost his ability to verbally communicate, but seems to have fully recovered is poet and academic CK Stead. Presuming you remember some ideas in this essay and that materialism is true, I have literally caused a physical change in your brain. I'll give one more fascinating example of neuroplasticity. Before GPS, London cabbies had to memorise London's whole topography – this was called "The Knowledge." It was found that a part of these cabbies' brains had become larger than those who had a more quotidian feel for London's layout.

Towards the end of Determined, Sapolsky briefly discusses homosexuality and because this used to be an obsession of mine and because it is related to the present discussion, it may be useful to say something about it. In 1991, Simon Le Vay discovered that a region in the brains of gay men was smaller than the corresponding region in the brains of straight men, in fact comparable in size to the corresponding region in straight women. Sapolsky does not say this but I have learnt from other sources that this region is in the visual cortex and I would wager is involved when heterosexual men surveil the world for attractive females and/or is involved in sexual fantasy. Sapolsky, in a gratuitous display of virtue signalling, quotes Lady Gaga: "God makes no mistakes, I'm on the right track, baby, I was born this way." However, when we consider neuroplasticity, an alternative explanation to the idea that gay men are born gay can be considered. It might be that Le Vay and other gay men make a 'decision' to be gay in early adolescence and, as a result of being gay for many years, this part of their brains atrophies or never grows at all.

If this idea of neuroplasticity is at all true, it suggests that people diagnosed with psychiatric disorders can recover. Certainly I have recovered from the psychoses I experienced years ago and hopefully this essay is halfway coherent and so demonstrates this. Readers may say that this apparent cogency is evidence that the drugs I am legally compelled to take are working and so I need to say something briefly about the dosage I am currently on. At the beginning of last year I was taking 300mgs of Olanzapine a fortnight; I am now only taking 210mgs a month. It has gradually been reduced over the last two years and I have had two injections at the new dosage level. I have not experienced any recurrence of psychotic symptoms, feel more clear headed, can concentrate better, am reading more, and am generally feeling happier. My aim when I see my psychiatrist next is to persuade him to reduce my dosage to 150mgs with the goal of getting off medication entirely within six months. This though is still a very difficult ask. The point here is that if a person diagnosed (or perhaps misdiagnosed) with schizophrenia can fully recover and go off drugs, the same may be true for all other psychiatric disorders. (Of course, schizophrenia is presumed to be a neurotransmitter imbalance rather than a result of brain damage, but the argument I have made can be generalised to cover this.) It may seem that Sapolsky's prescription is more compassionate, more humane, than mine because it seems that I am suggesting that people with psychiatric disorders are in a sense responsible for them – but this is not the case. I think that people diagnosed with psychiatric disorders can take steps towards recovery but that they require help. Friends, family, and society generally are collectively responsible for helping people recover from 'mental illness'.

I turn now to my second criticism of Determined. Sapolsky cites research claiming that rain forest dwellers tend to invent polytheistic religions while desert dwellers tend to produce monotheistic religions, research that suggests that there is a causal link between type of religion and climate. I need to give a little admittedly amateurish history lesson to show the mistake here. From the little I know, the first monotheistic people were the Jews. But the people from whom the Jews descended were polytheists. Incredible fact alert: Yahweh was originally a thunder god, part of a pantheon, and had a wife. The ancient people who became the Jews came to practice something known as monolatry which means they tended to worship one god while acknowledging the existence of other gods; over time the cult of Yahweh took over and the rest of the pantheon, including the wife, slipped away into oblivion. We arrived at the Judaism gradually built up over centuries and documented in the Old Testament. What about the other monotheistic religions? Christianity, of course, sprang out of Judaism, and Islam, through some process about which I am not entirely clear because I haven't looked closely at the history of Islam, sprang out of the older two Abrahamic religions in the early seventh century. There are a few other monotheistic religions such as the Druze faith, which developed out of Islam in the eleventh century in modern day Lebanon, and the Baha'i faith which developed in the nineteenth century in Iran and took inspiration from all the other major world religions. Although I have not looked at all the monotheistic religions (there are about ten) it seems likely that the fact that monotheistic religions have all, I think, arisen in the Middle East is a historical coincidence rather than evidence that arid climates somehow deterministically cultivate a belief that there is only one God. Sapolsky is making the classic error undergraduates are warned against: he is mistaking correlation for causation. In order to know if desert climates somehow naturally engender monotheistic religions we would need to run an experiment in which we play out world history from somewhat different initial conditions on a hundred Earths and see if a correlation between deserts and monotheism arises that is statistically significant. Otherwise we are entitled to doubt Sapolsky's claim.

Sapolsky's assertion that there is a causal link between desert cultures and monotheism is not a key part of his overarching argument but the reason I have focussed on it is that it may by indicative of other errors in the book, other moments where he has presented speculation as fact, that I and others may not pick on.

Even if the monotheism claim is fairly trivial, there is another strand in his argument, a strand that resurfaces repeatedly throughout Sapolsky's book, that really does deserve to be challenged. This strand concerns experiments involving 'priming'. To define this term, I shall simply quote Wikipedia: "Priming is the idea that exposure to one stimulus may influence a response to a subsequent stimulus, without conscious guidance or intention." For instance, early on Sapolsky says, "Ask someone to name their favourite detergent, and if you have unconsciously cued them earlier with the word ocean, they become more likely to answer, 'Tide'" (p. 16). Sapolsky mentions a study that shows "that disgusting smells make subjects less accepting of gay marriage" (p. 47) If a religious person has to unscramble the letters "lehl" or "neehav" they will, apparently, become more prosocial. (p.258) Although these examples fall purely within psychology, sometimes the examples Sapolsky gives also involve endocrinology or EEG scans, neuroscience. Sapolsky's intention is clear: we tend to associate free will with "conscious guidance or intention" and if the behaviours of a group of people can by influenced (on average slightly more than would occur by chance alone) by prior stimuli, this weakens the belief that our decisions are rational, are the result of "free will".

The problem here is with the whole concept of 'priming'. In Freud's day, psychology was very different than it is today. Freud and his followers were therapists who would listen to their patients, attempt to interpret their dreams, and sought to devise elaborate and sometimes silly theories concerning individual pathologies and general features of the human conscious and unconscious mind. Today, though, psychology is trying very hard to be a proper science – and that involves experiments. 'Priming', a term coined by Segal and Cofer in 1960, is a useful concept for psychologists today because it enables researchers to take a number of generic individuals, expose them to a stimulus and measure the results, all in the lab. These days academic psychologists all over the world are performing 'priming' experiments hoping to get novel results, get published in reputable journals, get lots of citations, and bring in all the consequent funding. Of course, this creates perverse incentives. In the post "Threading the Needle", I briefly discussed 'the replication crisis' (sometimes referred to as the reproducibility crisis). Good science does not just involve publishing surprising findings, it also involves repeating experiments carried out by others to ensure that the original studies were sound, weren't artefacts or accidents. Unfortunately repeating others' experiments is not particularly sexy and so it was not until the last five or ten years that it was realised that a great deal of science, including apparent findings that had become canonical, were not replicable. This is especially true of psychology. In fact, in 2022 a giant within the field of psychology, Daniel Kahneman, said in a lecture that behavioural priming research was "effectively dead." In Determined, Sapolsky briefly mentions the replication crisis and says that he is only considering "findings whose brand conclusions have been independently replicated." (p. 47n.) I would like to suggest that the crisis is so bad that we should regard all research into priming as suspect.

The concept of priming seems to me reminiscent of an earlier fad within psychology, behaviourism, an approach which has not entirely gone away but which is much less fashionable today than it once was. Readers may have heard of Pavlov's dog who was conditioned to salivate at the sound of a bell. I believe animals like dogs and cats and octopuses have inner lives that we know little or nothing about because they can't tell us about them – I have often thought that when Pavlov's dog heard the bell, she probably thought to herself, "Goody, that means someone is going to feed me soon" and salivated accordingly. This way of thinking about living things, that they have minds as well as bodies, is precisely what behaviourists rejected because the inner life is unobservable from the outside. This brings me to another idea concerning priming. In a recent Youtube video, Rupert Sheldrake discusses the reproducibility crisis and then segues into a very intriguing idea, that scientists can psychically affect the results of their experiments. He argues that chemists, for example, may be able to telekinetically affect the rate at which chemical reactions occur. I suspect this may go a little too far but, if we grant for a moment that paranormal phenomena are real, then it raises the possibility that when priming experiments actually do produce statistically significant results, it may be because the experimenters and experiment itself psychically affect the behaviour of the subjects. What others think of a person may affect the person mentally and perhaps even behaviourally. This is the reason for the story I told at the beginning of this essay. I note by the way that Sheldrake himself believes in free will but I am not myself here defending free will but rather proposing a kind of supernatural causation.

I'll consider one last study that Salpolsky alludes to. Four social psychologists (Cohen, Nisbett, Bowdle, and Schwarz) carried out three experiments in 1996 which explicitly sought to prove that a "culture of honour" exists among White males from the Southern US that can affect their "cognitions, emotions, behaviours, and physiological reactions" in certain circumstances. Just before the experiment was supposed to take place, each subject was bumped into by a confederate in the corridor outside the lab and called an "asshole". Subsequently it was found that subjects from the South were "more likely to think their masculine reputation was threatened", had higher cortisol and testosterone levels, and were more likely to engage in aggressive and dominant behaviour. Subjects from the North were pretty much unaffected. The problem with these experiments is that although the researchers assert baldly that these reactions show the effects of this "culture of honour", there are a number of other possible explanations. Perhaps people in the South are just nicer than people in the North and so Northerners, having been exposed to such conduct growing up, found it easier to shrug off. Perhaps the Southerners were already finding it difficult living in Michigan (where the experiments took place) and so were more predisposed to take offence. Perhaps they sensed that they had been chosen to participate in the experiments simply because they were from the South and were consequently more vigilant, more paranoid. The issue here is what Philosophers of Science call "the underdetermination of theory by data" – we can't be sure that these reactions show the pervasive influence of a Southern "culture of honour". Sapolksy employs this example to argue that culture affects behaviour, is transmitted intergenerationally, and can persist over centuries. However it seems here that Sapolsky is again presenting speculation as fact.

The aim of Determined is to convince readers that free will does not exist and so Sapolsky must consider counterarguments, something he does in the middle of the book. He groups these counter arguments under three general headings: chaos theory, complexity, and quantum physics. As promised at the beginning of the essay, it is the third that I shall now turn to.

In the first of the two chapters on quantum physics, Sapolsky sketches out a rough picture of what quantum physics is and of its implications. He isn't a physicist and admits this – but we don't need to be quantum physicists to see its relevance to a discussion of determinism. Put very simply, quantum physics postulates that at a subatomic level events occur randomly. Quantum physics necessarily involves indeterminacy. In order to discuss "randomness", we need some sense of the meaning of the term, and so Sapolsky illustrates the idea by talking about it would mean for a particle to move randomly. This passage is too long to quote here but involves the idea that a randomly moving particle will always most likely be found at the point where it was last observed and has a kind of fractal trajectory in that the more we zoom in the path it has taken the more zigzags we find. 

My criticism here is that Sapolsky is presenting one conception of randomness as though it is definitive. It is not the only conception. I myself tend to think of randomness as involving an event with a number of possible outcomes – for instance, when a die is rolled, we take the view that there are six possible results, each of which is equally probable. If a very large number of factors are involved, if there are many events all with the same probability distribution and all independently contributing to a value, we get a normal distribution – this is why people's heights fall on a bell curve. (The wave function associated with a simple quantum harmonic oscillator in its ground state, incidentally, is also described by a normal distribution.) Sapolsky's view of randomness is of absolute randomness. This is like saying that we can roll a die and get a banana. My view is that there can be weighted or constrained randomness. This will become relevant later.

The issue for those us who are fascinated with quantum physics is that it lends itself to what Sapolsky calls "mystical gibberish" (p. 215). Ordinary people usually don't understand much quantum physics but have picked up on the idea that it is seriously weird – this leads people to slap the word quantum on everything as though religious or New Age beliefs have scientific backing. Sapolsky heaps scorn on Deepak Chopra for instance for his 1989 book Quantum Healing and adduces a journal on "quantum psychotherapy" which contains an article called "Quantum Logic of the Unconscious and Schizophrenia" as more evidence of mystical gibberish. What Sapolsky misses is that these supernatural associations must have come from somewhere and presumably originated with people who actually did understand quantum physics. Two defenders of the free will hypothesis that Sapolsky discusses, two who seek to find it in the quantum realm, are Stuart Hameroff and Roger Penrose – Penrose won the Nobel Prize in Physics in 2020 and so should not be dismissed as a quack. It is such quantum defenders of free will that Sapolsky seeks to criticise in the second chapter on quantum physics.

Years ago, when wondering about quantum mechanics, I thought that perhaps consciousness caused wave function collapse. Hameroff and Penrose argue, surprisingly, that wave function collapses cause consciousness. The idea is that subatomic apparently random events occurring in microtubules (organelles found in eukaryote cells like neurones) collectively generate free will. In arguing against this proposal, Sapolsky enlists the support of a number of neuroscientists and philosophers who also deem it stupid. Sapolsky argues that a brain is so much vastly larger than an electron wandering about randomly in a single organelle in a single brain cell that there is no way a single quantum event involving the electron could result in a human action. He says, "This is the bubbling-up problem in going from quantum indeterminacy at the subatomic level up to brains producing behaviour – you'd need to have a staggeringly large number of such random events occurring at the same time, place, and direction. Instead, most experts conclude that the more likely scenario is that any quantum event gets lost in the noise of a staggering number of other quantum events occurring at different times and directions." (p. 220). Sapolsky quotes a philosopher called Hobbs: "The law of large numbers, combined with the sheer number of quantum events occurring in any macro-level object, assure us that the effects of random quantum-level fluctuations are entirely predictable at the macro level, much the way that the profits of casinos are predictable, even though based on millions of 'purely chance' events." (p. 221). To pummel his point home, Sapolsky gets into the nitty gritty of neurobiology, pointing out that for a single neurone to activate its neighbour there are enormous number of neurotransmitter molecules and other processes involved, and, even if it does, it's still only affecting one neurone out of 100 billion.

Here is the question though. Is the human brain like a casino or more like the weather? Or, to put it another way, does the law of large numbers apply to the human brain? Famously, if a butterfly flaps its wings in the Amazon it can lead to a tornado in Kansas. This is the lesson of chaos theory. I am not engaging in idle hair-splitting here – Sapolsky devotes two chapters to chaos theory earlier in the book. Chaotic systems are in essence unpredictable: a tiny difference in initial conditions between two systems, a difference so small that it is effectively immeasurable, can lead to enormous differences later on. A famous example in physics of chaos at work is the three-body problem. There is no general solution to this problem. Even if we could task the most powerful computer in the world with finding the solution it would in principle be unable to do so. Sapolksy's reason for bringing in chaos theory is that some free-will proponents have argued that the brain is a chaotic system, therefore fundamentally unpredictable, and that this unpredictability is equivalent to indeterminacy. Sapolsky replies that unpredictability is not the same thing as indeterminacy: just because we don't know the cause of a behaviour doesn't mean it was causeless, 'freely willed'. He gives the example of behavioural variant frontotemporal dementia. In 1922, no one knew the cause of it. But today we can predict with high accuracy that an individual will develop it in later life if he was born with a mutation in a gene called MAPT. The mistake Sapolsky makes here is that this example has nothing to do with chaos theory: a chaotic system, such as the system that causes the tornado in Kansa or the three body problem, in principle can only be very approximately solved if solved at all. More pertinently to my present argument is that in the chapters on chaos theory, Sapolsky seems to concede that the brain might be a chaotic system and then in the chapters on quantum physics conveniently forgets this, citing only experts who think the brain is a kind of stable or linear system. If however there is both subatomic randomness in the brain and chaotic amplification of these random factors by the brain, it seems quite reasonable to believe that indeterminate quantum events could lead to indeterminate behaviour. 

Then again perhaps Sapolsky and the other quantum skeptics are indeed right, that a single quantum fluctuation gets lost in the noise. Let us grant this for a moment. There is another argument I would like to make in favour of 'indeterminism'. In order to set it out, I need to digress and discuss Neo-Darwinism or what is sometimes called the Modern Synthesis.

Modern evolutionary biologists have a very simple story to explain the evolution of organisms. We begin with a population of a single species inhabiting a particular environment, occupying a particular environmental niche. Every now and again a random DNA mutation occurs: usually these mutations are detrimental to the organism but sometimes a mutation is very slightly beneficial to the individual born with it. This individual, if also blessed with a little good luck, will have more offspring than its compatriots. Over time the number of individuals who possess this beneficial mutation will increase until they become the majority. Eventually it will be possible to say that the whole population, the whole species, has changed. This is how a species evolves. Because this mass change has resulted originally from an interaction between a single DNA mutation in a single individual and the organism's environment, it seems reasonable to describe evolution as a chaotic process (although it may be helpful to bring in another notion from chaos theory, 'strange attractors').

I once wholeheartedly subscribed to this doctrine. But then in 2013 I realised that there was a significant problem with it and in the years since decided that this simple little story just didn't make any sense at all. It would take me too far afield to go into detail about why I came to this conclusion in this essay. Suffice it to say that my rejection of the Neo-Darwinist story did not lead me to reject evolution altogether but rather to realise that some other process must be involved. In early 2018, a solution came to me, in fact via a voice. When a mutation occurs, it must occur to a large number of individuals in a population at the same time. It is almost as if some kind of collective spirit or idea that embraces the whole population simultaneously affects the whole population . 

The relation of this insight to the brain should be obvious. As quoted above, Sapolksy says, "you'd need to have a staggeringly large number of such random events occurring at the same time, place, and direction." But perhaps something like this is exactly what happens. Perhaps our behaviours result at least partially from a large number of quantum fluctuations that are coordinated. To reiterate, I am not here defending free will. What I am suggesting is that our behaviours may not be wholly biologically determined but may also be supernaturally or spiritually influenced. Quantum physics provides a bridge between the materialist universe and its supernatural counterpart. This influence results either from the chaotic amplification of quantum events by the brain or from the coordination of a number of quantum events within the brain that ultimately can be traced back to causal factors in a sense outside the brain. At this point I want to bring in another key plank in Sapolsky's case against free will. Sapolsky argues that if our decisions are undetermined, the mind would throw up so many possible options, perhaps an infinite number, that it would take a lifetime to choose between them, to select an appropriate behaviour for a particular circumstance. The problem with this argument is, as mentioned above, that Sapolsky views apparent randomness as absolute randomness. However it could be that biology only picks out a discreet number of possible alternatives. It could also be, and this is my preferred postulate, that each variable associated with an action lies on a normal distribution. Yes, extreme values are possible but are very unlikely – 95 percent of the possible values for a variable lie within two standard deviations of the mean if the variable can be described as normally distributed. Thus Sapolsky's argument here can be countered if we suppose that randomness is constrained or weighted rather than absolute. Although, of course, as I've just said, I am not here defending free will but rather arguing that our actions are underdetermined by biology.

Sapolsky has another response to defenders of quantum free will. He says that if our behaviours are at root random, we cannot be held responsible for them. My perspective on this idea should be deducible from what I will have to say about free will towards the end of the essay.

Whew. This essay has swollen into a monster. It probably would have been more sensible for me to talk only about Determined in this post. However in a recent post, "Quantum Physics for Dummies and a New Idea" I made a couple of errors that I feel I should correct. I also want to develop and clarify some ideas I proposed in that post. So at this point I want to move away from Sapolsky and discuss quantum physics more directly.

In that recent post, I discussed wave-particle duality. Although I did not say this directly, I implied that electrons and photons can both be described by the Schrodinger equation or Dirac equation. If any physicists read this blog, they will have of course spotted the obvious error. In particle physics there are two types of particle: fermions and bosons. The Dirac equation applies to the former and the Klein-Gordon equation to the later. Electrons are fermions and photons are bosons. When writing that previous post, I actually did realise that the Schrodinger equation does not apply to photons but wasn't clear about this. However, with respect to the example I discussed, diffraction, it doesn't matter which equation is used because the width of the bands that we conceive of as 'appearing' on the screen depend only on the width of the aperture, the wavelength of the particle, and the distance to the screen. Because we presume that both photons and moving electrons have characteristic wavelengths, the fact that each are described by different equations is irrelevant to this example.

The purpose of the recent post was to describe as clearly as possible the Measurement Problem. I have thought of another way to approach this puzzle. Let us suppose that we can make two different types of measurement: primary measurements and secondary measurements. Some experimenters want to perform a diffraction experiment involving electrons. Before they begin, they measure the width of the aperture and the distance to the screen and make a hopefully quite accurate estimate of the velocity of the electrons they are going to fire through the aperture. These can be described as primary measurements and are used to arrive at an initial approximation of the wave function. The experimenters also measure the location on the screen each electron arrives at: each of these can be described as a secondary measurement. My claim is that the experimenters formulate a model of the wave function of a particular electron based on the primary measurements but then must amend this model by taking into account the secondary measurement. The wave function is probabilistic and probability estimates must be revised to take into account new information; furthermore it is not just the present and future wave function that must be revised but also the particle's past history. With each additional measurement, the wave function changes, although, because of the Heisenberg Uncertainty Principle, no number of measurements will enable us to arrive at an absolutely accurate description of the particle's past history, present, and future. (There is a snag involved with this picture that I shall come back to in a moment.) Although I proposed, provisionally, the idea that we have two different kinds of measurement, this distinction should in fact be discarded and we should actually treat all measurements similarly.

In the recent post I described the three most prominent interpretations of quantum mechanics: the Copenhagen interpretation, the Many Worlds interpretation, and De Broglie-Bohr Pilot Wave Theory. The essay was a bit muddled because I wasn't sure which if any of these interpretations was compatible with my own theory. I realise now that none of them are. This is because all three treat primary and secondary measurements as quite distinct. The Copenhagen interpretation supposes that primary measurements determine a wave function that is real and objective; secondary measurements have no effect on the wave function. All they do is confirm, in aggregate (that is, after many electrons are fired through), the probability distribution given by applying the Born rule to this objective function. Many Worlds also presumes that the wave function is objective and, once determined by primary measurements, unchangeable. As I said in the earlier essay, according to this interpretation 'wave function collapse' never occurs. Rather every possible secondary measurement occurs, each in its own universe. I have thought in the past that my own theory might be compatible with Pilot Wave Theory but now suspect it is not. This is because Pilot Wave theory also assumes that the wave function is objective and cannot be affected by secondary measurements. In supposing that every measurement changes the wave function it is possible that I am making an enormous error somewhere but I don't know what this error could be.

What is the snag? In the previous essay I imagined a scientist, call her Jane, who has a conception of the wave function in her own mind based on primary measurements and then 'updates' her conception based on an observation of where the electron actually lands on the screen. The problem here is that although it is fairly easy for Jane to work out a wave function for the electron involved in a diffraction experiment based on primary measurements, it may well be fiendishly difficult for her to calculate a wave function that incorporates her knowledge of where the electron has actually made contact with the screen. So the idea that she 'updates' her conception based on the secondary measurement only makes sense if Jane can instantly solve a fiendishly difficult and perhaps impossible mathematical problem in her mind very quickly, something I think unlikely.

This brings me to the fundamental mystery. What is probability? In the past I have said that any probability estimate is 'subjective' in the sense that it is made by a person based on incomplete information. I can illustrate this with a scenario I have deployed several times before in this blog. Three people, Brenda, Don, and Amy, are asked to estimate the probability that the top card of a shuffled deck is the Queen of Hearts. Brenda knows nothing about the deck and so, applying the Principle of Indifference and thus assuming that each combination of cards is equally probable, estimates the probability as being 1/52. Don has more information. He knows that the top thirteen cards are all hearts and so estimates the probability as being 1/13. Amy, however, knows for sure that the top card is the Queen of Hearts and so estimates the probability as 100 percent. I view the universe as deterministic although, as I said above, I suspect that there is both natural and supernatural causation. If the universe is deterministic then if a person somehow knew everything, possessed all the information, she would estimate all probabilities as either being certainties or impossibilities. It is only because people lack some relevant information that probability estimates come into play. Furthermore one person can possess different information than another. This is why I have said that all probability estimates are subjective. However I am not saying that such estimates are completely arbitrary, that a person can just make any estimate he or she wants. In pure mathematics, the study of probability is a big deal: there are empirically well established axioms like the Principle of Indifference, the Law of Large Numbers, and the Central Limit Theorem (although it is possible that people sometimes apply these rules in situations where they shouldn't). The problem is that the philosophical foundations of probability theory do not seem to be well established: this is why the Monty Hall problem confused so many people in the 1970's and why the Sleeping Beauty problem confuses so many people today. Somehow we need to regard a probability estimate as subjective and objective at the same time. This is something I can't speculate on any further on in this essay.

The questions about probability I have raised in the above paragraphs are, of course, not wholly original with me although I believe I came up with them at least somewhat independently. Bayesian probability is well established. However, even though I am acquainted with very little scholarly research concerning quantum physics, I sense strongly that even though quantum mechanics is necessarily probabilistic, quantum physicists themselves have rarely if ever attempted to interpret quantum mechanics from a Bayesian perspective. Quantum mechanics is strange enough as it is: if we all decided that the wave function squared actually describes our knowledge about where and when a particle is rather than objective reality, it could cause us all to descend into the abyss of German transcendental idealism. Physicists themselves exhibit a reflexive antipathy towards interpretations of quantum physics that involve consciousness. This explains the popularity of 'objective collapse theories' and of the idea of 'decoherence' which many physicists wrongly believe solves the measurement problem. (I considered talking about decoherence in this essay but it is long enough as it is.)

And now, finally, I shall try to salvage some notion of 'free will'.

An important idea in modern philosophy is 'emergence', something Sapolsky talks about in the chapters on complexity. A traffic jam is constituted by a bunch of cars but is in a sense something else, in a sense emerges from its constituent parts. I am not a big fan of this term 'emergence' but it approaches the idea I intend to discuss. What I want to do is employ a different but closely related idea: 'levels of description'. At one level we can describe the phenomenon as 'fifty cars stuck front to back' or we can take a bigger picture view and call it a 'traffic jam'. Another example: suppose we encounter a friend, Kate, and note that she seems happy. Let us also suppose for a moment that the serotonin theory of mood is true. It seems we can say, "Kate has more serotonin circulating in her brain than usual" or we can say "Kate seems happy". These two description are both true (assuming of course that the serotonin theory is true) and both describe the same thing: Kate's mood. They are describing the same phenomenon on different levels. What I would like to suggest is that even if a person's behaviour at a particular time is determined, as Sapolsky argues, by action potentials in a neuronal network that is reacting to environmental stimuli, action potentials that are themselves completely determined not only by the stimuli but by hormones, glucose levels, upbringing, acquired culture, and genes, it is still possible to describe that behaviour, at the ordinary human level, as being the result of 'free will'. It may seem I am deploying a fallacious form of reasoning – I am simply stipulating that the meaning of 'free will' should be defined pragmatically, as being an explanation for human behaviours at the level of normal human interactions, in situations where we cannot open a hole in someone's skull and observe what the neurones and hormones are actually doing. The reason I am making this stipulation is that I believe that at the level of ordinary human actions, human behaviour is unpredictable.

Sapolsky would hate this argument. Throughout Determined he adduces examples of behaviours or phenomena that have simple causes, examples I have discussed in this essay. We can predict that a person will be diagnosed schizophrenic later in life if in childhood he wets the bed. Desert societies reliably invent monotheistic religions. Priming experiments reliably influence the choices of subjects. The culture of honour in the Southern US reliably informs Southerners' reactions to rude behaviour. A single gene almost invariably leads to a form of dementia. And so on. However when one considers one's friends, even though one tends to think of them as possessing stable characters or personalities, in conversation we can almost never predict what they will say next. If the brain is chaotic, behaviour is unpredictable. If quantum effects have supernatural origins and can influence behaviour, it becomes even more unpredictable. And if we accept both chaos theory and this quantum hypothesis, it becomes possible to believe in something like 'emergence' – we can justifiably imagine that our behaviours result from top-down causation as well as bottom-up causation.

There is another reason to defend some form of free will. More than three hundred years before the birth of Christ, Aristotle invented the 'lazy man argument'. He argued against predetermination on the grounds that if the future is fixed, there would be no point in planning for it or deliberating about it. This argument can easily be countered if we suppose that the reason people plan and deliberate is that they possess the illusion of free will. However Aristotle's argument does raise an issue for determinists. Sapolsky didn't write Determined just to earn a buck or two – he is trying to change the world. Although I object to his representation of psychiatric conditions as being lifelong, I agree with his arguments in favour of greater compassion and leniency towards criminals. Sapolsky wants to make the world a better place and thinks if we all stop believing in free will this will happen. He has a chapter called "The Ancient Gears within Us: How Does Change Happen?" In it, he spends some time discussing the neuronal circuitry of the sea slug with the goal of showing how environmental factors can cause lasting changes in the neurology of these simple organisms and by analogy much more complex organisms like people. There is a tension in the book between his biological fatalism and his lefty compassion for the victims of circumstance, his desire to create positive change. Either, despite himself, he possesses the illusion of free will, or some supernatural force he doesn't believe in is propelling him forward. I can relate to this. A couple of weeks ago I became preoccupied with issues to do with free will and Fate. It occurred to me that in 2009 I decided at some subconscious level of my mind to embark on a fourteen year project to change the world, or that something else had charged me with this task. It's not that my mission has been to persuade the world of the truth of some New Age pseudo-psychological bullshit involving quantum physics. Rather I have been trying to change people's attitudes concerning 'schizophrenia' and 'sexuality'. It seemed to me that I had finally succeeded, leaving me with the existential question, "What now?"  Of course my hopeful feeling that I have changed the world depends wholly on whether people read this blog or not – but let us suppose that they do. Sapolsky is arguing that occurrences in the past push people forward; I am proposing that people can be pulled forward by the future. This pull cannot be explained away rationally if rationality involves an ordinary understanding of time and causation. This is another motivation for my pragmatic definition of 'free will'. If a person is on the right path it seems entirely permissible to describe his or her actions as arising from 'free will' even if at some deeper level they really can't.

Finally I want to defend some notion of 'free will' for one more reason. Our values and feelings should be described as real. My dislike of Vladimir Putin, the leaders of Hamas, Benjamin Netanyahu, and the whole US Republican Party are genuine emotions. My empathy for the crazy and homeless people I meet in Auckland's CBD is genuine. Emotions like 'guilt' and 'shame' are real. Sapolsky's reductionism deprives such values and feelings of the importance they need to have to guide our actions. According to Sapolsky, biological determinism is good because it lets criminals off the hook morally; I think we should show compassion and leniency towards criminals because they could always regret their actions and repent. I admit that in presenting this argument I could be committing an informal logical fallacy philosophers refer to as 'wishful thinking'. But pragmatically it is compelling.

When one writes an essay one inevitably arrives at the problem of the conclusion. Perhaps I should just summarise what I have said. Although Sapolsky claims that science collectively has disproved the existence of free will, when he adduces findings from sciences other than neuroscience, these findings are dubious. His view that psychiatric disorders are permanent is wrong; his view that desert cultures reliably produce monotheistic religions is speculative; his reliance on priming experiments is misguided. If we presume that brains chaotically amplify quantum indeterminacy or that quantum events are somehow coordinated, we can imagine the possibility of supernatural causation. Quantum mechanics should in my view be rethought as involving a Bayesian conception of probability. And I think it necessary to at least pretend that something like 'free will' exists for pragmatic reasons. In this way we finally arrive at the end of the essay. Whether I am a rational analytical person or an intuitive emotional person is a question I leave to the reader.

Monday, 4 December 2023

An Open Letter to Robert Sapolsky

 Over the last week I have read almost all of Robert Sapolsky's book Determined. When I finish it, which should be today, I intend to start writing a reply to his argument and post it here. The reason I slowed down towards the end is because Sapolsky includes a section about 'schizophrenia' which I almost entirely disagreed with and it has been difficult for me to pick the book up again. I wrote an email to him concerning this section but received an automated response. The automated response does not say that he never reads emails but it seems likely that he will not read mine. So I have decided to publish the letter here.

Hi Dr Sapolsky,

I recently bought and have read most of Determined, Life Without Free Will. Although I have not yet quite finished it, I read with interest your discussion of schizophrenia. I am writing to you with some thoughts and criticisms concerning this part of the book.

You say that John Nash “struggled his entire adult life with schizophrenia”. I admit that this is the impression one gathers from watching the film A Beautiful Mind. However, although I have not read the biography the film is very loosely based on, I do know Nash said at some point in later life that he believed that medication "impeded the process of recovery". This strongly suggests that after he was permitted to go off medication, Nash indeed recovered. This though is not the message of the film, nor what you say in the book.

Interestingly I believe Virginia Woolf was schizophrenic. This may seem absurd – she was an accomplished writer who penned a number of literary masterpieces. However, if we recognise that if schizophrenia is anything at all it is an episodic condition, it seems less ridiculous. Just before she drowned herself, she wrote a letter to her husband saying, “The voices have come back and you and I can’t go through another one of those terrible times.” My feeling that Woof would have been diagnosed schizophrenic today is based not only on biographical information about her that I have picked up but on a reasonably close reading of the novel Mrs Dalloway.

You discuss research that suggests that the brains of schizophrenics shrink and quite rightly raise the question of whether it is the ‘condition’ or the medication that causes the brain shrinkage. You cite research that suggests the brains of schizophrenics have started shrinking even before the first psychotic episode, before the sufferer is put on ‘antipsychotics’. However I have read articles in psychiatric journals that suggest that it is indeed the drugs that cause the shrinkage. Olanzapine and Haloperidol were given to rats and monkeys (I think capuchin monkeys) and the experiments showed quite conclusively that it was indeed the drugs that caused the brain shrinkage. Research in areas like this is very heterogenous and is not conclusive. I wonder if you are cherry picking studies that support your argument.

I turn now to the most important issue. You describe ‘schizophrenia’ as “a disease of disordered thoughts”. You say that it is possible to pick that someone is schizophrenic from a thirty second encounter, from the “meandering incoherence” of their speech. I would like to suggest that you are quite wrong.

I first experienced a psychotic episode in 2007 at the age of twenty-seven. I believe that I had a vulnerability to psychosis caused by my parents’ divorce when I was seven and that the proximate cause of this first episode was acute stress occasioned by a stint working at a popular student radio station here in Auckland, New Zealand. I was removed from my flat and shortly after started seeing a psychiatrist who put me on the ‘antipsychotic’ Risperidone. At one of these early appointments, this psychiatrist leant towards me and said that his sister was schizophrenic, leading me to believe that I had been diagnosed schizophrenic myself. I experienced psychosis for the rest of the year, was reasonably well in 2008, and then became psychotic again in very early 2009. For the first time I began hearing voices. I was taking medication at the time. In August, after I threatened to kill myself, I was allowed to go off the Risperidone. Shortly after, I was put on Olanzapine. I was totally well from early 2010 until early 2013 at which time I became psychotic again and, having not been a patient of the Mental Health Service for a year, voluntarily reentered the Mental Health Service. My hope was to  receive competent psychological therapy rather than pharmacological treatment. In early 2014, I was put under a Compulsory Treatment Order which I am still under today. This has involved me coming into the clinic monthly, and for a period of several years fortnightly, to receive a long lasting injection of Olanzapine. 

In 2013, I asked my then psychiatrist what my diagnosis was. She said, “Schizophrenia”. Subsequently in medical reports I had to take to Social Welfare service centres, as they are called in New Zealand, my condition was described sometimes as “schizophrenia” and sometimes as “symptoms of schizophrenia”. I do not know if I am still supposedly diagnosed “schizophrenic” today but suspect that I still am.

I do not believe I have ever exhibited thought disorder. Even when I heard voices these voices didn’t cause me to say anything incoherent. My experience of voice-hearing was that in 2009 and early 2010, I would enter into what I believed were telepathic conversations with people like Jon Stewart and later Barack Obama; even then though I do not think I ever displayed disordered speech when talking with real people in the real world. There is only one instance that I can think of that comes close to disordered speech. In 2007 and 2009 I thought all the apparent right-wingers in New Zealand were really left-wingers pretending to be right-wingers and vice versa. Sometimes during this period my lovely mother and I would visit my godmother who lives in the small city of Whanganui. At this time, the mayor of Whanganui was a horrible reactionary called Michael Laws. I thought my godmother and her friends were pretending to dislike Laws but secretly liked him. I made a comment to my godmother on one occasion ostensibly critical of Laws but, by means of vocal inflection, tried to communicate to her that I was being ironic; I was trying to play the ‘game’ that everyone else seemed to be playing. A look of confusion crossed her face. As a result of this I reevaluated my beliefs and recognised that Michael Laws is genuinely a shit.

You might say that I wasn’t in a position to know if I was exhibiting thought disorder during these periods of psychosis. But I can approach this question in another way. In 2010 and 2011 I attended a weekly Coffee Group, an opportunity to socialise with other patients, where I met and conversed with a rotating cast of young people who were supposedly ‘mentally ill'; I occasionally attended this coffee group in 2012 and 2013. During this time, at least until 2013,  I was completely well. I never noticed any thought disorder in any of the other patients, never had any trouble understanding them.

You talk about thought disorder in terms of people being “pulled by the sounds of words, their homonyms, vaguely discernible leaps of connnectiveness.” I never noticed this in others or myself. If your claim were true then, by this logic, poets should all be classed as schizophrenics. In very late 2009 I met a girl at a Hearing Voices group, another supposed schizophrenic, who I fell for immediately. I sensed straightaway that she was very clever indeed. This girl loved palindromes and shared a couple with me very soon after we met. She had also memorised pi to a thousand places and would sometimes recite it as a party trick. This girl has gone on to win a number of prizes in poetry and has twice come second in the Sunday Star Times short story contest, the most important short story contest in New Zealand. Her most recent volume of poetry contains mostly extraordinarily difficult poetry – but this is not indicative of thought disorder but rather the obscurity of modern poetry that began with Modernists like Ezra Pound and has flowed through into Postmodernism. Her poetry reminds me of a very famous American poet, John Ashbery. This problematises any idea that we can ascribe thought disorder to people like this girl.

I return to the idea in your book that it is possible to pick whether someone is schizophrenic or not based on a thirty second encounter. In 2012, when I was on a very low dosage and was in the care of my GP rather than a psychiatrist, I undertook a Masters in Creative Writing through an Auckland university. Partway through the year I decided to write a screenplay about schizophrenia based on the girl I just mentioned and partly inspired by my own experiences. Not a single person in the class realised that I was drawing from my own life. In the screenplay the girl, who I called Jess, decides that she is responsible for the February 2011 Christchurch earthquake, something the real girl did. When I told my lecturer about this, he said, “They do that, don’t they.” Incredibly, by chance, there was a retired psychiatrist in the class.  (She initially wanted to write a novel about a sane man who accidentally finds himself in a lunatic asylum, taking her inspiration presumably from One Flew Over the Cuckoo’s Nest.) She had no idea I was drawing from life experience. The class read a portion of the screenplay in which Jess starts overhearing the thoughts of others in a supermarket. The retired psychiatrist said to me that schizophrenics don’t hear voices in the way I described in the screenplay. I felt like saying, “I actually know more about this than you do.”

This raises the very serious issue of confirmation bias. If I had been a patient in this woman's consultation room when she was still practicing, she might well have deliberately looked for thought disorder and so found it, by which I mean falsely imputed it to me. Because I was a fellow student in a creative writing class, she was simply not looking for evidence of thought disorder in my speech and so never considered the possibility that I might have experienced psychosis myself  Not that I ever actually displayed any thought disorder at the time.

I’ll tell one last story. I see my psychiatrist for half an hour once every three or four months. I never have any idea what to talk about. The consequence is that I may sometimes seem to exhibit thought disorder in his eyes even if I don’t display any thought disorder when talking with friends and family. At my first appointment with him I had told him I wanted a job and a girlfriend. Relatively recently I had an appointment with him at which my mother, key worker, and a medical student were present. I can’t remember the conversation precisely but he started off by asking me how I was getting on getting a girlfriend and then in a weird awkward way opened up the question to include the possibility of me getting a boyfriend. I suspect he was modelling current ‘best practice’ to the medical student, modelling the idea that psychiatrists should keep an open mind and not be homophobic. He opened up this question despite the fact that I have been saying I am only sexually attracted to women since 2013. I told him that I was only attracted to young women, that my difficulty was that I was too shy with girls and said that I was “on the opposite end of the continuum from Donald Trump.” My mother told me later that she understood exactly what I meant but the psychiatrist somehow got it into his head that I was saying that I wanted to fuck Donald Trump. So I had to clarify again that I am only sexually attracted to women by recounting how in 2013 I had heard a voice that said, “You’ll get a girlfriend when you’r forty” and how my fortieth had rolled around and it didn't happen. After I said this the trainee doctor gave off a small of shit, something I have learned to associate with men who feel some feeling like shame or guilt, who feel implicated in proceedings that are mendacious or corrupt. The person who displayed signs of insanity during that consultation wasn’t me, it was the psychiatrist.

Having told these stories about my own life I want to spell out the problems with your discussion of schizophrenia in Determined. You seem to be part of a movement to define schizophrenia less in terms of hallucinations and delusions and more in terms of thought disorder. The problem is no one can be sure that someone is exhibiting thought disorder because such observations are so easily biased. There is a bigger problem. You seem to be suggesting that schizophrenia is caused by an interaction between genes and childhood development and that it is a permanent lifelong condition. Robert, this view is evil. You’re interested in biological determinism whereas I am interested in cultural determinism. The reason people don’t recover from ‘schizophrenia' is that no-one thinks they can. A person who has had a single psychotic episode is stamped with the lifelong label “schizophrenic” and told that he or she has to take antipsychotics for the rest of his or her life even though these drugs potentially cause brain damage and definitely cause cognitive impairment. To look back on a person’s childhood and try to find predictive factors is like finding meaning in a Rorschach test, finding patterns in random data; in reality the causes of psychosis are different for every single person. The term ‘schizophrenia’ should be retired and drugs, if used at all, should be used sparingly, only for the duration of the psychotic episode.

Despite these misgivings I found your book very interesting. But I regard it as a philosophical argument which can be challenged in a number of places. I do not take it as gospel. I hope this email makes you reconsider your understanding of ‘schizophrenia’ a little. 

The above is the letter I wrote to Robert Sapolsky. In the next post I intend to discuss other arguments in his book, particularly his arguments concerning quantum physics, and also correct and expatiate on the argument concerning quantum physics I presented in the previous post. 

Thursday, 23 November 2023

Quantum Physics for Dummies and a New Idea

In 2018, doctors at the New York University of Medicine announced that they had discovered a whole new organ in the human body, naming it the interstitium. The interstitium is a dense network of interconnected tissues and fluid-filled sacs found throughout the torsos of human beings. It had never been discovered before because the science of anatomy was based on the dissection of cadavers and, when a person dies and is dissected, the fluid empties out of the sacs; previously medical researchers had misidentified the remnants of these sacs as being tears resulting from biopsy methods. It was only because of new technologies enabling researchers to peer minutely into the interiors of human bodies while the humans were still alive that researchers came to the extraordinary conclusion that they had discovered a whole new human organ. As I understand it, scientists are still unsure what the function of the interstitium is, although it has been proposed that it partly acts like a system of shock-absorbers preventing damage to other parts of the body when people are moving around. 

I learnt about the intersititium first through the British TV show QI. If I have readers who are unfamiliar with QI, I advise them to watch it on Youtube if they can't get it on ordinary TV. It used to be hosted by the inimitable genius Stephen Fy and is now hosted by Sandy Toksvig who is also Quite Interesting. QI specialises in reporting on incredibly surprising facts and speculations. The main point of the show is to reveal comedically how wrong everyone often is about things they think they know. For instance, did you know that the Immaculate Conception doesn't refer to Mary's visitation by the Holy Ghost but rather, according to official Catholic doctrine, the doctrine that Mary herself was born without Original Sin? I didn't until earlier this week. It was an episode of QI hosted by Stephen Fry that first introduced me to Rupert Sheldrake. The other thing QI often does is show that contrary to the idea that science has explained everything that there are mysteries from the trivial to the profound that scientists still haven't solved. For some reason, I find this very heartening, perhaps because it helps fortifies me in pursuing one of my life goals, my project of showing that the whole of psychiatry is bullshit. The only small drawback of QI is that because it often reports on the latest scientific findings, it may be promulgating errors that will not stand up to the test of time.

The main purpose of this essay is to discuss something QI gives little time to perhaps because it seems too complicated: quantum mechanics. I want to try to explain a part of quantum mechanics in such a way that it is clear to people who only have a slight understanding of physics and at the same time present in rudimentary form a whole new way of approaching it. I first wrote about quantum physics many years ago in two posts called "Probability and Schrodinger's Cat" and "Probability and Schrodinger's Cat Part 2" and have written a number of posts either directly or indirectly concerning probability, a key aspect of quantum theory, since. If I have a radical proposal it may be precisely because I am not an expert, that I have thought about this issue philosophically rather than mathematically. It may be that the problem with becoming an expert is that this involves accepting the orthodox position and so discourages independent thinking.

In the previous essay I discussed the current war in Gaza and before I discuss quantum physics I need to make a couple of corrections. In the previous post I said that prior to October 7, Israel was pursuing a normalisation agreement with Egypt. In fact it was close to making a deal with Saudi Arabia, a deal in which the Saudis would have officially recognised Israel as a state. I made this stupid mistake because I didn't factcheck my memory. I also said that 1400 Israelis lost their lives on October 7 because that was the number reported by all the news networks at the time– we now know it was closer to 1200.  My previous essay was a little stylistically unclear at one point because I had difficulty trying to articulate exactly what I meant but I hope my readers understood what I was trying to say. Since writing the previous essay I continued to research the Israeli-Palestinian dilemma and considered writing a full follow-up to it, replying to a podcast by Sam Harris and an interview I saw between Piers Morgan and Douglas Murray. I decided that rather than write something about it again myself it would be better if I simply direct readers to two podcasts by Ezra Klein, both available on Youtube, "An Intense, Searching Conversation with Amjad Iraqi" and "What Israelis Fear the World Does Not Understand". The first is an interview with an Arab Israeli who would like to imagine a world without 'ethno-nationalism' and the second with a Jewish Israeli who is a self described Zionist. Both are reasonable left-leaning people who just happen to have quite different perspectives. I will say one brief thing not about the present war in Gaza but about the Israel-Palestinian conflict more generally. The crux of the matter seems to me to be this. Palestinians want the Right of Return – that is, Palestinians in Gaza and those who have been (and are currently) being displaced in the West Bank, as well as the millions of refugees living in neighbouring Arab states, want to return to the homes their forbears fled or forced from in 1948 and, I think, 1967, homes that are now inside Israel. Israeli Jews want a Jewish state and in order for the state to be Jewish, they believe it needs to have a Jewish majority. In the previous essay I was a little flippant about this fundamental issue. What needs to happen is some kind of compromise. Of course there are horrible right-wing people on both sides who hate and want to kill their opponents but these people should be excluded from the conversation.

In the previous essay I also discussed the Second Law of Thermodynamics and I want to say something more about it before diving into quantum physics, something I implied but didn't say directly. The Second Law states that entropy always increases or, to put it helpfully but perhaps a little misleadingly, that isolated systems always tend to become increasingly disordered as time goes on. If we consider very, very small systems, however, such as a system consisting of a couple of protons and electrons, the Second Law of Thermodynamics doesn't apply. This is because we can't meaningfully say that one state of a microscopic system is more or less ordered than another. In fact even the term 'heat', a term that is very important to thermodynamics, doesn't really make sense when considering such microscopic systems. If we imagine a slightly bigger system, the Second Law applies weakly; it becomes stronger and stronger as we consider larger and larger systems. The Second Law applies almost absolutely when we consider macroscopic systems, such as a box full of air, a coal-driven locomotive, or even perhaps a person. It is easy to forget the difference in scale – something like a pen contains an unimaginably large number of atoms. At the human scale the Second Law does seem like an absolute law because macroscopic states are so much vastly larger than microscopic states. This raises an interesting philosophical question. In physics (although not in other sciences like biology) it is common to talk about Laws of Nature, where a law is a rule that the universe follows without exception. If we use this rough definition, the Second Law of Thermodynamics is not really a law at all because exceptions occur, perhaps even very occasionally at the macroscopic scale. Something else comes to mind. One of the most important laws of physics is that energy is always conserved but it has been recognised for a long time that, as quantum and particle physics seems to imply, this law is violated when we consider particle interactions, although these 'perturbations' are so small and brief that we don't need to worry about them unduly. The law is obeyed in the long run. When we consider all this, Rupert Sheldrake's proposal that the Laws of Nature are not really laws at all but actually habits seems far less outrageous.

There is a second issue with thermodynamics that I implied but didn't explore. According to Wikipedia, the definition of the entropy of a macrostate is the Boltzman constant multiplied by the logarithm of the number of possible microstates associated with that macrostate (assuming that each microstate is equally probable). The problem here is that neither the term macrostate nor the term microstate has a clear definition. When thinking about this over the last few days, I became worried that the Wikipedia entry was simply wrong. In 2005 I did a fairly comprehensive course in first-year physics (not second-year as I said in the previous post). We covered thermodynamics, special relativity and a reasonable amount of quantum physics but not general relativity or, in any depth, the Standard Model. Although I still possess the textbook dealing with quantum physics, I lost the textbook containing the discussion of thermodynamics a long time ago and so have been unable to check whether Wikipedia is peddling disinformation. From memory, I seem to recall the textbook saying that we cannot meaningfully talk about the absolute value of a system's entropy but only about changes in entropy. 

In the nineteenth century, when the concept of entropy was first formulated, the change in entropy of a system was defined as the change in energy of that system (the amount of energy coming in or out) divided by the absolute temperature of that system. If we combine this definition with the Second Law, we can explain why if a hot object is placed in contact with a cooler object, the first will cool down and the second warm up and they will together tend towards a common equilibrium temperature. The nineteenth century understanding of thermodynamics was replaced by a statistical theory, formulated I think by Boltzman. In 1900, in fact, physicists were divided as to whether the Second Law was a hard law or a statistical law – Max Plank himself, I believe, thought it was a hard law. The statistical view won out (even though Lawrence Krauss gives the impression of still believing it to be a hard law). According to the statistical theory, it is actually possible for the hot object to get hotter and the cooler object to get cooler but this is very, very unlikely. My understanding was that we can derive the nineteenth century theory of thermodynamics from the statistical theory: the older theory 'emerges' from the statistical theory when we consider systems of larger and larger sizes. However, as I suggested above, I wonder if the statistical theory is itself adequately defined.

And now at last I turn to quantum physics. The first idea in quantum physics I need to discuss because the following discussion won't make sense without it is 'wave-particle duality'. Hopefully my readers have at least heard of this idea. At the human level we tend to think in particle terms: we think of a rock as composed of particles and, when we throw it, imagine it to behave like a really big particle that obeys Newton's laws. We also know about waves such as waves on the sea or sound waves. At high school we learn that light is made up of waves, specifically electro-magnetic waves. Waves and particles seem like two entirely different types of thing. However at the quantum level we can't easily tell the two apart. When we consider something like an electron or a photon, sometimes it is better to describe it as a wave and sometimes it is better to describe it as a particle. It depends on the situation. Everything actually possesses this wave-particle duality, not just electrons and photons, but for some reason this 'wave-particle duality' isn't apparent in the macroscopic world. I won't attempt to explain why it is not apparent here. What is important is that in the following discussion I will talk about particles having associated waves, even though this is not exactly right, because it will make the discussion easier.

The waves associated with particular particles, such as electrons, generally obey the Schrodinger equation. (If the particles are moving very fast, relativistic effects come into play and we need to use the Dirac equation instead, an equation more general than Schrodinger's and formulated later.) Interestingly you can't derive the Schodinger equation from prior assumptions or axioms. When Schrodinger came up with it in 1925 it seems to have just popped into his head. (Of course he had been thinking intensely about the new science of quantum mechanics for a while.) Schrodinger's equation is a wave equation. Schrodinger himself didn't know how to interpret it – because waves are spread out in space he thought that an electron must also be spread out in space. In 1926 Max Born offered the interpretation that has become a core part of quantum physics ever since. The wave function should be interpreted in terms of probability. The greater the amplitude of the wave at a particular point in space and time, the greater the probability of finding the associated particle there. (Mathematically, it is is bit more complex. The probability that a particle will be found in a particular region is the absolute square of the wave function integrated over that region.)

There is no way I can in this essay discuss all of quantum physics. One important, in fact foundational, idea in quantum physics, for instance, is 'quantisation'. If a particle like an electron is subject to boundary conditions, if it is for instance stuck in a box from which it cannot tunnel out, it takes on one of a discreet set of energy levels. This contrasts with classical physics in which an electron in a box can have any energy at all and where energy levels are continuous. I sense that there is a conceptual puzzle here but again I will not dive into it. My purpose here is to simply describe one particular example of quantum mechanics and show that it leads to an extraordinary conclusion.

The phenomenon I wish to talk about is diffraction. Basically, diffraction is the term we use for the fact that light, like other waves, bends around corners. This bending, in the case of light, is generally so slight from a human-level perspective that ordinarily we just assume that light travels in straight lines but diffraction has been known about since at least the eighteenth century. If we shine a beam of light, from a reasonable distance away, on a very small aperture (an aperture that is comparable or smaller than the wave-length of the light) and then examine where it lands on a screen placed some distance away on the other side, we find that the beam spreads out. It forms a band known as the general maxima and, on either side, a number a smaller bands known as secondary maximas. Until the idea of photons was proposed (in 1905 by a then little known German Jew working in a patent office in Bern), almost all the evidence, including the phenomenon of diffraction, suggested light was a wave; with quantum physics it became possible to describe the beam of light as, rather, an absolutely enormous number of photons. This is now where we start to get quantum. It is possible today to shoot a single electron or a single photon at an aperture and then observe where it lands on the screen. Even though we are, in a sense, dealing with a single particle, there is still a wave associated with that particle, a wave which we can call a probability wave. This wave, theoretically, diffracts and forms a general maximas and secondary maximas on the screen just as a beam would.

But now, finally, we arrive at the Measurement Problem. When this experiment is actually, rather than theoretically, performed, the very human scientist in the real world doesn't observe a wave forming on the screen; he or she observes the electron or photon arriving at a specific point on the screen. The wave function, as I hope I explained above, describes the probability of finding the particle at a particular point – before the measurement is carried out. When the scientist actually performs the measurement and observes the particle arriving at a a particular point, it seems he or she must come up with a new estimate of the probability of the particle being found there. In fact, because it is actually found there, the scientist must say that the probability of it being found there is 100 percent. Any other conclusion seems to me to be incoherent. (I will briefly mention one such incoherent conclusion, the Many Worlds interpretation of quantum physics, later in the essay.)

In the previous paragraph, in attempting to clearly describe the Measurement Problem, a problem that has bedevilled physicists for a hundred years, I may have done something extraordinary – I may have strongly gestured towards a (partial) solution. The rest of this essay will involve fleshing out this hint. The solution involves thinking about the nature of probability in a different way than people often do. This is something I have written about a number of times and I'll give some examples which might make my still very tentative theory a little clearer. 

Suppose we have a generic shuffled pack of cards without jokers and we ask, "What is the probability of Bob drawing the Queen of Hearts from the top?" Because we lack any information about the order of the cards, we should (rationally) assume that the probability is 1/52. We should assume this because every possible card order is, presumably, equally probable. Suppose Bob draws the Queen of Hearts and we see this. We now have new information. If we now ask, "What is the probability that Bob drew the Queen of Hearts?" we can say, "100 percent". However it seems that we can also ask the question, "What was the probability of Bob drawing the Queen of Hearts?" People, I believe, will usually say, "1/52" because they will consider what they knew about the pack prior to Bob drawing the card and will exclude from the model or picture in their minds of the situation the fact that Bob actually drew a Queen of Hearts. If Jane wins Lotto, people often say, "The chance of Jane winning was one in a million." However in a sense the probability that Jane won was 100 percent because it actually happened. The reason people say her chance of winning was one in a million is that they consider very general ideas about how lotteries work and ignore the fact that Jane actually did win. One last example. Suppose you have a friend who says, "The probability that Donald Trump won the 2016 election is 67 percent." You're entitled to say, "You're insane. Donald Trump actually won the election. The probability that he won is 100 percent." Your friend's claim only makes sense if she has reasons for thinking Donald Trump might not have won and can mathematically quantify her uncertainty. If, however, your friend says, "The probability that Donald Trump won the 2016 election was 67 percent," it seems she is saying something different. She is saying that based on the information she had at the time back in 2016 and excluding information she found out later, in particular the fact that Trump actually won, that this is her rational estimate of the probability of it occurring back then. Any estimate of probability is subjective in the sense that it is made by a person based on information he or she possesses, information that is always incomplete except when we are dealing with certainties. (In talking about probability in this manner I am, by the way, implicitly assuming determinism.)

The purpose of this essay is not to fully spell out a theory of what probability is but to talk about quantum physics, although I will implicitly be invoking the ideas I have thought about and suggested in the previous paragraph.  I'll go back to the diffraction experiment again. When many of us think about experiments like the diffraction experiment, we imagine that what happens is that the electron or photon is a wave until it is observed on a screen at which point it somehow suddenly turns into a particle. This makes it seems that the wave function disappears.  I used to believe something like this myself. Physicists and others, myself included, have talked about 'wave function collapse'. This term seems to make sense because, before the measurement, the wave function was spread out on the screen but when we observe it, we seem to find a particle arriving at a single point. It seems to have collapsed. However we need to bring in another idea from quantum physics, the Heisenberg uncertainty principle. I hope readers have heard about it. This principle says that if you have very great certainty about the position of a particle, you lose information about its momentum. This means that if the scientist measures with great accuracy the arrival point of the particle, she necessarily loses information about its momentum; its possible momenta are smeared out in a wave-like fashion. To put it simply, even after the measurement is performed, there is still a wave function associated with the particle. The wave function does not disappear when the measurement is made; rather it changes. I need to take this one step further. Before the measurement was made, there was one wave function associated with the particle and after the measurement is made there is another. But when we perform the measurement, the wave function the particle must have had before the measurement, when it left the emitter, passed through the aperture and sped towards the screen, also must change. When one performs the measurement, one must retroactively change the particle's past wave function. If the wave function is a real thing then when we perform the measurement, the past changes. If we want to assume that the past is fixed, then we must therefore suppose that the wave function is not really a real thing. What I am arguing is that the wave function describes what we can know about a particle. When we perform the measurement we are not changing the past but rather changing our knowledge not only about the present and future of the particle but also its past history. And yet, by gaining some new information about the particle we have lost other information.

Last year I wrote an essay, "Chance and Necessity" for a course in classical and medieval philosophy, an essay I published in this blog. In it, I drew on an essay by JME McTaggart and talked about an A Theory and B Theory of time. We can consider the idea I presented above in similar terms. Suppose tomorrow someone proved that Francis Bacon was the real author of all the plays hitherto attributed to Shakespeare and everyone comes to believe this. We could make a bizarre argument that this person has changed the past. Alternatively we could take the common sense view that it is not the past that has changed but our understanding of the past. Similarly the common sense view should be that when we make a measurement we do not change the past but rather our knowledge of it. However it is when we combine this common sense view with quantum physics that we arrive at some seriously radical conclusions.

This notion, that the Schrodinger equation does not describe something in the real world but rather what we can know about it may not seem very controversial to laypeople but, trust me, to physicists it is indeed off the wall. If quantum physics does not describe reality but rather our understanding of reality, it seems there must be some intimate relation between the laws of physics and the consciousnesses of sentient beings. This is because quantum physics is founded on ideas of probability and as I have argued above and in other essays any estimate of probability is subjective, in the sense that it is made by a person based on incomplete information. There is a second argument that supports this radical notion. Suppose the diffraction experiment is carried out by several people. Before the measurement they all agree on the wave function the particle must have based on observed or predicted data such as the width of the aperture and the momentum of the particle. The experiment is carried out by one physicist who measures the arrival point of the particle and 'updates' the wave-function in her own mind. However she does not immediately tell her colleagues. For a period, the first physicist has one idea of the wave function and her colleagues have another. It is when she tells them, when the new information gained by the measurement is communicated to them, that they themselves 'update' the wave function in their own minds in a kind of Bayesian way. My interpretation of the wave function is that it is a kind of model in a person's mind concerning the outer world based on the information she has and that it can vary from person to person. A critic may mount the following objection to this proposal. She may say that the particle, surely, must indeed have a real objective wave function associated with it but that the physicists performing the experiment got it wrong before the measurement and even after. This critic may even suggest that this real objective wave function can never be precisely known. I am unsure how to clearly answer this objection except to say that I suspect it relies on a misunderstanding of what a wave function is.  The wave function is based on the observable information associated with the particle; furthermore  it involves probability (even though Lawrence Krauss pretends this is not the case) and probability is, I believe, a subjective assessment made by person based on incomplete information. Therefore the wave function itself can simply not be described as objective.

This interpretation of quantum physics is only a partial solution. In the previous post I recommended that readers watch "Are Many Worlds and Pilot Wave the SAME thing?" by PBS Spacetime on Youtube. I said it was an accessible introduction to the three main interpretations of quantum physics – but perhaps it is not as accessible as I suggested. Therefore I will attempt to help out. The three main interpretations I shall discuss are the Copenhagen interpretation, the Many Worlds interpretation and the De Broglie-Bohm Pilot Wave theory. My theory is not compatible with the first two but may be compatible with the third. I shall briefly attempt to describe each of them.

The film Oppenheimer includes a very brief scene of a number of prominent physicists sitting around on chairs in Copenhagen. It is a nod to audience members who know a little about the history of quantum physics; it gives the impression of the physics community getting together to reach a consensus about how to  interpret it. In talking about the Copenhagen interpretation here I shall not rely on memory but refer to the Wikipedia article on it. The Copenhagen interpretation has its roots in talks given by Max Born and Heisenberg in 1927 but the term 'Copenhagen Interpretation' didn't catch on until the 1950's; it has been for a long time the default interpretation that is often taught to students. The Copenhagen interpretation can't be attributed to any single physicist and there may be variations on it; nevertheless I will try to sketch some general features. In 1927, at the Solvay Conference,  Max Born and Heisenberg declared "we consider quantum mechanics to be a closed theory, whose fundamental physical and mathematical assumptions are no longer susceptible of any modification." According to the Copenhagen interpretation all the real information about a particle concerning its position, momentum, and energy can be derived from a knowledge of its wave function; there are no 'hidden variables'. The wave function is objective. However reality is fundamentally indeterministic, random, a randomness that becomes apparent when one makes a measurement. When a measurement is made it seems we find out something new about the particle but this new information comes from nowhere, is causeless. The idea that I advanced above, that the measurement actually changes the wave-function, does not seem to have occurred to people who formulated and subsequently subscribed to the Copenhagen interpretation; they seemed to regard the wave function and measurement as two quite separate types of thing. The problem that particularly vexed the early proponents of the Copenhagen interpretation was not so much the measurement problem but rather where to draw a line between the classical deterministic macroscopic world of scientists and measuring instruments and the peculiar quantum indeterminate microscopic world of wave functions and particles – I feel physicists worry less today about where to make this 'cut'.  Adherents to the Copenhagen interpretation are encouraged to just ignore the measurement problem, to treat it as not a problem at all. They are advised to just do the maths and not worry about why a particle ends up at a particular point on a screen. Famously N. David Mermin summed up the Copenhagen interpretation as "Shut up and calculate!"

In the previous post I suggested that Lawrence Krauss gives the impression that he wants to ignore the measurement problem and reported how he considers quantum physics to be deterministic even though he concedes that a measurement produces a random change. Having thought about it, I have concluded that this must be because he subscribes to the Copenhagen interpretation. Krauss is also a determinist and so I wonder how he reconciles these two incompatible belief systems.

The Many World interpretation seems to me a kind of development of the Copenhagen interpretation. Like the Copenhagen interpretation all the information about a particle is derivable from its wave function. The difference between the two is that the Many Worlds interpretation holds that what people have termed 'wave function collapse' never really occurs; even when a measurement seems to be made, the wave function continues as if it hasn't. The universe according to this interpretation is constantly splitting into alternative universes, perhaps all the time or perhaps only when measurements are made, I am unclear which. Consider the diffraction experiment again. Suppose we imagine a line down the middle of the central maxima; the Many Worlds interpretation holds that a number of universes split off and of the universes that branch off, half have the particle arriving on the left side and half have the particle arriving on the right side. I am unsure if Many Worlds proposes that the number of universes that branch off when a measurement is performed is finite or infinite. It is this interpretation of quantum physics that inspired Everything, Everywhere, All At Once and all the recent Marvel films.

At this point I shall digress a little. Another interest of mine is literary interpretation.  I believe that successful stories, especially films, are arguments in favour of some core proposition. Everything, Everywhere, All At Once is an argument in favour of the idea that free will exists. Its central message or moral is, "No matter how shitty your life has become, you can improve it by making the right decision." Everything, Everywhere, All At Once won the Best Picture Oscar and this fills me with hope because it suggests that the Academy of Motion Pictures and Sciences has some understanding of quantum physics and its philosophical implications.

Even though Everything, Everywhere, All at Once is a good film, I must reject the Many Worlds interpretation of quantum physics. My reasons are philosophical rather than mathematical. When the scientist performs the measurement, she does not observe and participate in all the possibly infinite universes that branch off. As far as she is concerned, the particle arrives at a definite location; she only observes and is aware of one of the possible universes. The Many Worlds interpretation does not really solve the measurement problem, it just kicks the can down the road. The problem becomes a problem of consciousness instead, a problem that is the province less of physicists than of philosophers of mind. We need to explain why the scientist observes only one universe, not some smeared out collection of all the possible universes that can arise from the wave function. Physics, in the end, must depend on empirical evidence and in the real world, as you and I know, a person only observes a single universe. The problem with many worlds can be illustrated with an example. Consider the friend who says, "There is a 67 percent probability that Donald Trump won the 2016 election." According to Many Worlds this is reasonable statement to make. Your friend is saying that of all the universes that split off just before the election, 67 percent of them contained Trump winning and 37 percent of them didn't. If you think your friend's statement unreasonable, I contend you should also reject Many Worlds.

I turn now to the third interpretation. The DeBroglie-Bohm theory is the most famous of the 'hidden variable' theories. The nice thing about this theory is that it is conceptually so simple, In this theory, waves and particles are two distinct types of thing. Particles are real things that always exist; their associated waves are 'pilot waves' that guide the particles through space. Bohm introduced a new equation, the guiding equation. Particles are influenced by both the Schrodinger equation and guiding equation; they don't travel in straight lines but sort of wobble about. The theory is deterministic. However, the guiding equation is explicitly non-local. What this means is that the position and velocity of a particle depends on all the other particles in the 'universe', where what we mean by 'universe' is everything involved in the experiment, perhaps even the scientist performing the experiment herself. DeBroglie proposed the first version of this theory in 1927 but was bullied into accepting the Copenhangen interpretation instead; it was revived and properly developed by David Bohm in the 1950s. It was considered a fringe theory for a very long time – for two reasons I believe. First, physicists have tended to dislike non-locality. (Einstein famously used the term 'spooky action at a distance' when criticising quantum theory.) Second, even though the particles move deterministically under the influence of the Schrodinger equation and guiding equation, we can never know precisely where they are and how fast they are moving unless at some point (in the past, present or future) we learnt where all the particles in the universe are located through some some of magic (it can't be empirically worked out). Physicists don't like this because they like doing experiments to prove things and Bohmian mechanics is experimentally unprovable. This is one reason the Copenhagen interpretation was so popular – it only dealt with observables.

Recently however the pilot wave theory has become more fashionable. Non-locality is today far more accepted than it was in the past. Physicists now, mostly, believe in something called 'entanglement', the idea being that if two particles become 'entangled' and later we perform a measurement on one of them it instantaneously affects the other even if the two are very far apart when the measurement is performed. More importantly, the DeBroglie-Bohm theory seems to solve the measurement problem. If the particle is always a particle, it should surprise no-one that when it arrives on a screen it seems to be a particle rather than a wave. In fact, both Wikipedia and the Stanford Encyclopaedia of Philosophy say that the DeBroglie-Bohm theory solves the measurement problem. 

This is not a consensus opinion however. In the Youtube video by PBS Spacetime that I mentioned earlier, Matt O'Dowd presents an argument, an argument proposed by fans of the Many Worlds theory, that seems to imply that pilot wave theory doesn't solve the measurement problem. The argument is based on the fact that according to pilot wave theory the particle has no effect on the wave function. If this is true, the fact that there is a particle that actually passes through the aperture and arrives on the screen should have no effect on the probability distribution we theoretically find on the screen and so doesn't explain why we find the particle at a particular point. I have been thinking about this and have decided that these Many Worlds enthusiasts are making an error; they are continuing to believe that measurements never occur. I argued above that when we perform a measurement the wave function changes. If any physicists read this blog, I would put it to them like this: when we perform a measurement we are effectively introducing a new boundary condition that affects the wave function. Even if the particle does not affect the wave function, the measurement does.

The reason pilot wave theory has become more popular is largely because of the influence of a more recent physicist, John Stewart Bell. It is Bell's work that led to the idea of entanglement. Bell proposed an experiment that could show whether non-locality is a real thing or not; when such experiments were eventually performed they did indeed show that non-locality is a real thing (assuming something known as Superdeterminism is false). The experimenters won the Nobel Prize in Physics for this work last year or the year before. Bell was very influenced by Bohm. In fact, he objected to the term 'hidden variable theory' on the grounds that such supposedly hidden variables are the very things revealed by measurements. Despite the current popularity of Bohm's theory, there are significant difficulties with it. It is very hard to reconcile pilot wave theory with Einstein's Theory of Relativity because Relativity says nothing can travel faster than light. Bohm's theory depends on the Schrodinger equation and, as I pointed out above, the Schrodinger equation (unlike the Dirac equation) is non-relativistic. The challenge for physicists who find some value in pilot wave theory today is how to reconcile it with Relativity.

In trying to clearly understand and explain the Measurement Problem, and in thinking about it over the last few days, I believe I have realised the mistake proponents of both the Copenhagen interpretation and Many Worlds interpretation have made. Consider the diffraction experiment again. The wave function possessed by the photon or electron has historically been determined only by some information, specifically the width of the aperture, the momentum of the particle, and the distance to the screen, but not all the information. When someone makes a new measurement, she acquires new information and so must update the wave function; at the same time she loses some information. My contribution, if it is wholly mine, is to add to quantum physics a new way of looking at probability. Any estimate of probability is subjective in the sense that it is made by a person based on the information that the person possesses, information that is incomplete. The Schrodinger equation is probabilistic and must therefore be subjective. This implies that different people can come up with different values of the particular wave function for a system if they have different information about the system. If there is an objective world that we all share, these different values can only incompletely describe the system and the differing wave functions should rather be understood as describing what particular people know about the system. This is what I was trying to say in the posts about Schrodinger's cat years ago and I still may not be expressing myself clearly. I feel that this proposal supports some 'hidden variable' theory but is not conclusive. If we decide for other reasons however that the world is deterministic, this way of looking at probability may supplement such deterministic theories.

I want to say something about how I came up with this idea. It may seem at first as if I am being arrogant but if you read on, you'll find I'm not. Although my background is in English literature, I have always had an interest in physics. In 2005, I did the paper on physics although  I failed to understand the Schrodinger equation at the time. The paper got me thinking about it though. In 2007, almost immediately after I became 'sick', my father gave me a long article about Bell's Inequality. I wasn't in a state to make sense of it then and I still don't know why he gave it to me. My father is a smart man but he isn't a physicist. In 2008, I think to distract myself from ongoing emotional distress, I set myself the task of deriving E=MC squared from a small set of assumptions and Maxwell's equations. I deliberately chose not to look up any proofs on the internet. There were pieces of paper covered in algebra all over the house. At one point during the year, I accidentally derived the Heisenberg Uncertainty principle. This principle is not, as some people think, a law arrived at empirically, through experimentation –  you can derive it from the DeBroglie wavelength and the mathematics of waves. I derived it from doing calculus on the normal function. I finally derived E=MC squared at the end of the year, just before I became 'ill' again. 

In subsequent years I continued to think about relativity and worked out a much simpler proof for E=MC squared. When I wrote The Hounds of Heaven in 2012, I included a scene very near the beginning where Jess talks in voice-over about wave-particle duality and wave function collapse. Of course it wouldn't have rung true for Jess to deliver to the audience a rigorous explanation of quantum physics – her brief soliloquy is more consistent with the understanding of an amateur who has an interest in a wide variety of topics. A small regret I have about the film is that I gave Jess my own obsession. The real girl that Jess was based on is very clever but she is more interested in poetry and neuroscience than quantum physics. In 2013, I became 'ill' again and at the beginning of 2015 began writing this blog. For a long time this blog has been the most important thing in my life. I think in 2018 or 2019 I wrote the posts about Schrodinger's cat. I actually gave a copy of these posts to my psychiatrist partly to show I wasn't dumb. I suspect that he may have thought it crazy New Age ramblings because, for one thing, in them I said that any probability estimate is 'subjective' without defining what I meant by the term 'subjective'. The argument I made in those posts is different to the one in the essay – it was based around the Schrodinger's cat paradox rather than a discussion of diffraction but it was on the right track. The error I made in them is that I used the term 'wave function collapse' and I now realise that this was misleading. In those essays I also used the term 'Bayesian'. I thought 'Bayesian' denoted a way of viewing probability close to the one I was advancing. Not long after, I looked up Bayes' Theorem and decided that I must have made a mistake, that I had used the wrong word. I considered going back and rewriting the posts. Although I do not know exactly how to apply Bayes' Theorem to quantum physics, I now realise that the term Bayesian is roughly the right word because, roughly, Bayesian denotes the idea that one change one's probability estimates based on new evidence. 

It was very recently that I came back to the issue of quantum physics, actually not long before I wrote the previous post. The stimulus was a Youtube clip by Sabine Hossenfelder. In this essay I am not plagiarising her: rather she dropped a hint which sparked the novel idea of this essay. When briefly mentioning quantum physics she chose to use the term "update" rather than "wave function collapse"; she also used the word "Bayesian". It was these hints that led me to the idea that a measurement actually changes the wave function and, having thought about it, this prompted me to write this essay. In fact, I believe Sabine's view and mine must be different because she thinks measurements are performed by measuring equipment, as many physicists do, whereas I think they are performed by people. I also suspect she believes in Superdeterminism. If so, it is of course possible she could be right.

In 2013, I told my friend Jess about the rather spectacular marks I had received for the GRE exams I took in 2004. I was trying to impress her. But I also told her that I could only explain my results by supposing that I had read the minds of all the other people in the world who were taking the exams at the same time. In 2009 I heard a voice talking about Plotinus, the ancient Greek philosopher and so looked him up. Plotinus believed in a "world soul". What I am attempting to suggest here is that the idea I have proposed in this essay may not be wholly attributable to me but may have emerged from the collective mind of all the people thinking about this issue recently, the same way that quantum mechanics rapidly developed in the 1920s from the work of many physicists thinking about the same issues at the same time. My idea depends on a theory of what probability is and, if the world is deterministic, I don't see how anyone can say this theory is wrong.

I have just watched Sabine's most recent video, called "The End of Science" in which she suggests that it might be the case that science will never again be able to make radical new discoveries, an example she gives being the the apparent fact that no-one has discovered a new organs in the human body for a very long time. Obviously she has never heard of the interstitium.