The Problem of Particles

Until recently I believed the conventional wisdom of modern physics that particles and waves both exist even though we know something like a light wave sometimes isn’t exactly one or the other. If a light wave hits a detector it acts like a particle. If it hits a bunch of slits, it acts like a wave. Yes, the wave particle duality is seemingly understood and I’ve read about it since I first began reading about physics. The question is do we really need both particles and waves to model reality? Do particles actually exist in any form remotely resembling our conceptions of them? For that matter, do we need waves or could we explain everything perfectly well with particles?

In the course of discussing whether proton and neutrons actually touch in the nucleus with a fellow blogger, I found myself moving to the position that maybe the notion of particles really wasn’t useful.

First of all, let me state that I don’t believe any of the mental models we make for reality actually map one for one, one hundred percent, to reality. In that sense, I don’t think either waves or particles actually exist exactly like our mental constructions of them. Both waves and particles are simplifications of something that does exist. So I don’t think it is all in our consciousness (a more nuanced discussion of this later). The pragmatic question (I am a pragmatist) is whether the concepts of both particles and waves are useful. Or, can we just dispense with one of them – either particles or waves?

Charles Sebens in an Aeon article What’s everything made of? addresses the question with a slant not unlike my own. Surprisingly to me, the idea that reality might just be waves originated in a modern form with Michael Faraday:

In 1844, Michael Faraday explored this option in an unpublished manuscript and a short published ‘speculation’. One could imagine describing the physics of hard, solid bodies of various shapes and sizes colliding and bouncing off one another. However, when two charged particles (such as electrons) interact by electric attraction or repulsion, they do not actually touch one another. Each just reacts to the other’s electromagnetic field. The sizes and shapes of the particles are thus irrelevant to the interaction, except in so much as they change the fields surrounding the particles. So, Faraday asked: ‘What real reason, then, is there for supposing that there is any such nucleus in a particle of matter?’ That is, why should we think that there is a hard core at the centre of a particle’s electromagnetic field? In modern terms, Faraday has been interpreted as proposing that we eliminate the particles and keep only the electromagnetic fields.

The idea of particles goes back in some form at least to the ancient Greeks. Plato had a theory that everything was made from four elements in various combinations. Democritus developed the concept of the atom. Modern physics broke down the atom into particles and then the particles into more particles. Possibly the crowning achievement of 20th century physics is the Standard Model with its myriad of particles with names like quarks, charm, up, down, and strange.

Sebens doesn’t see the Standard Model going away even if we eventually remove particles from an improved model:

Physicists have developed an improvement on the periodic table called ‘the standard model’. The standard model is missing something very important (gravity) and it might turn out that the pieces it describes are made of yet more fundamental things (such as vibrating strings). That being said, the standard model is not going anywhere. Like Isaac Newton’s theory of gravity or James Clerk Maxwell’s theory of electrodynamics, we expect that the standard model will remain an important part of physics no matter what happens next.

What we are describing as “particle” is actually just a bunch of measurements like mass and spin. The measurements don’t go away even if the concept of particle is dropped. But both mass and spin complicate the concept of particle. Mass becomes problematic with the photon, for example, since it is a massless particle.

The second consideration that led me to an all-fields picture was the realisation that we don’t have a way of treating the photon as a particle in quantum electrodynamics. Dirac invented an equation that describes the quantum behaviour of a single electron. But we have no similar equation for the photon.

If you think of electrons as particles, you’ll have to think of photons differently – either eliminating them (Lazarovici’s story) or treating them as a field (Hubert’s story). On the other hand, if you think of electrons as a field, then you can think of photons the same way. I see this consistency as a virtue of the all-fields picture.

Spin is yet another problematic attribute. In fact, almost always when spin is brought up in particle discussions, there is always some disclaimer about we can’t really think about particles spinning. Actually the notion of particles spinning can’t be explained.

The standard lore in quantum physics is that the electron behaves in many ways like a spinning body but is not really spinning. It has spin but does not spin.

If the electron is point-size, of course it does not make sense to think of it as actually spinning. If the electron is instead thought of as a very small ball, there are concerns that it would have to rotate faster than the speed of light to account for the features that led us to use the word ‘spin’. This worry about faster-than-light rotation made the physicists who discovered spin in the 1920s uncomfortable about publishing their results.

If the electron is a sufficiently widely spread-out lump of energy and charge in the Dirac field, there is no need for faster-than-light motion. We can study the way that the energy and charge move to see if they flow in a circular way about some central axis – to see if the electron spins. It does.

To me, the picture of a particle in a wave-only view would be a toroidal or spherical band of bound energy that diffuses over distance. It is not so much a tiny billiard ball but a fuzzy vibrating thing that reacts to other particles/waves. I might speculate that even concepts like mass could be explained as another wave attribute that varies over some exceedingly small period of time. What we measure when we measure mass might be something like an average.

Perhaps something like the Energy Wave Theory is on the right track.

Energy Wave Theory (EWT) is a mathematical model with logical explanations for the smallest components of the universe that:

  • Simplifies all known particles to be based on one fundamental particle – the neutrino
  • Simplifies the cause of motion and forces to be based on one fundamental rule – to minimize wave amplitude
  • Explains the creation of particles, atoms and molecules using descriptions that can be modeled with one set of classical laws

The unification of two separate branches of mechanics is based on the conservation of energy and classical laws used for the behavior of waves, such as sound waves. Therefore, it is titled Energy Wave Theory and the first two pages are dedicated to the descriptions of energy and waves.

Everything that we see is based on the motion of space, traveling in the form of waves. It was in the 1600s that Robert Hooke, Christiaan Huygens and other physicists recognized that light traveled through space as waves with varying wavelengths. But there’s much more to this energy that we don’t physically see with our eyes. The motion of space is energy and there are multiple types and forms of waves, which we perceive to be different things:

  • Particles are standing, longitudinal waves.
  • Photons are traveling, transverse waves.
  • Forces are different wave types causing the motion of particles to minimize wave amplitude.
  • Atoms are formed by electrons and protons that have both attractive and repelling forces, causing the electron’s orbital.

So far, I don’t think the EWT theory is getting much traction. It may be wrong in enough ways that people find the concept discredited. However, the resolution of the main question may still lie in the future.

Sebens writes:

It is not yet clear what classical and quantum electrodynamics are telling us about reality. Is everything made of particles, fields or both?

This question is not front and centre in contemporary physics research. Theoretical physicists generally think that we have a good-enough understanding of quantum electrodynamics to be getting on with, and now we need to work on developing new theories and finding ways to test them through experiments and observations.

That might be the path forward. However, sometimes progress in physics requires first backing up to reexamine, reinterpret and revise the theories that we already have. To do this kind of research, we need scholars who blend the roles of physicist and philosopher, as was done thousands of years ago in Ancient Greece.

Perhaps I’m biased towards the all wave/all field approach to physics because I have argued for the electromagnetic field to play a role in consciousness. Well, yes, perhaps I’m guilty and somewhat predisposed to a wave-only approach. In the wave-particle discussion, however, the electromagnetic field itself does have its own weirdness. The exchange particle for electromagnetic interaction is a photon, not just an ordinary photon, but a virtual photon. Not only does the EM field’s particle lack mass, it also is not exactly a real particle. In fact, it is more like a wiggle in the EM field.

Particles? They’re just pinched-off bits of that field. Or, more accurately, they’re excitations (like, wiggles) of the field that can travel freely.

The fields wiggle to and fro (and sometimes fro and to). If the wiggles persist and travel, we call them “particles.” If they die off quickly, we call them “virtual particles.” But fundamentally, they’re both wiggles of fields.

If both physical particles and consciousness are mediated by the EM field, then consciousness would not consist of a “substance” different from what mediates the physical reality of particles, atoms, molecules, and our physical world. Consciousness isn’t required to manifest external reality as some QM interpretations argue, but instead consciousness manifests itself in fundamentally the same manner as external reality manifests itself. It is all wiggles in the EM field. 🙂

Posted in Consciousness, Electromagnetism, Philosophy, Time | 18 Comments

The Mystery of Consciousness

If you are like me, you probably have a bunch of books that you bought somewhere at sometime for some reason but still have yet to read. For me these books always seem like something I want to read at the time but, for various reasons, I barely crack them open before they move to a pile then later to a shelf mostly unread. That’s the case for me with The Mystery of Consciousness by John R. Searle (1997). The book is largely a reprint of book reviews Searle wrote for the New York York Review of Books. My paperback copy of the book has a cartoonish man on the cover with a third eye in the middle of the forehead. Looking for something else in my double stacked shelves, I ran into the Mystery again and decided to pull it off the shelf, to place it near my nightstand.. Since the book is compact, it immediately attracted my attention placed near a pair of mammoth tomes which I also desire to read someday but don’t quite have the energy or inclination to read now. They may too migrate to the shelves to be rediscovered one day.

Mystery was something of a surprise to me. The book covers many of the big hitters in consciousness academia at the time of its publication: Crick, Edelman, Dennett, Chalmers, and Rosenfield (maybe not so big a hitter but interesting nevertheless) with others like Ned Block, Churchland, and Nagel mentioned a lot in passing. It not only explains the positions of each of them in concise and readable prose but it also shows the problem of each of their positions. Several chapters have an addendum with other information including exchanges with Dennett and Chalmers. The book is over twenty years old but the arguments seem still current. Searle’s refutations and objections are on the mark. Maybe I’ve discovered I’m a Searlean because so much of what he writes seems straightforward, obvious, and almost commonsensical.

To clear up one thing right away – Searle is not arguing that consciousness is a mystery. What he is arguing is that many people – even philosophers – think it is a mystery but for Searle it is a scientific and primarily biological problem. The objective of the book is to move beyond mystery to science. Searle agrees consciousness is produced by neurons firing in the brain. The scientific problem is figuring out how neurons firing in the brain generate a subjective experience that is so completely unlike the underlying physical phenomena that are producing the experience.

Early in the book Searle address one of the seemingly obligatory explanations required for a book on consciousness. He explains what he means by consciousness:

“consciousness” refers to those states of sentience and awareness that typically begin when we awake from dreamless sleep and continue until we fall asleep again at night, or fall into a coma or die or otherwise become “unconscious”… Consciousness so defined is an inner, first person , qualitative phenomenon. Humans and higher animals are obviously conscious but we do not know how far down the phylogenetic scale consciousness extends. (p. 5)

Even though Searle can’t avoid the use of terms that tightly relate to or imply what he is defining (sentience, awareness) , he does make a useful contrast with sleep and coma in his definition. Sleep and coma are states about which we have no memory. While Searle doesn’t draw directly the conclusion that consciousness is related to memory, his definition would seem to imply that consciousness is a state in which we could potentially form memories. Consciousness for Searle is either on or off but it can vary in intensity from drowsy to full awareness with the boundaries being states of which we can have no memory. More about this later when we discuss Edelman and Rosenfield.

In Searle’s accounting, consciousness is real, not an illusion. In his review of Dennett’s Conscious Explained, he invites the reader to a small experiment of pinching the skin on the forearm. What happens, of course, are a bunch of reactions in physical sensory neurons, the spinal cord, and the brain that culminates in a unpleasant sensation on the skin of the forearm. This resultant feeling is qualitative and subjective. It is known only to you. Its mode of existence is first person. The description of the reactions of neurons and in the brain is third-person objective. The feeling of unpleasantness is real and is what science must explain.

Searle begins with Crick. He finds Crick’s Astonishing Hypothesis an excellent book for its explanations of neuroscience but finds the author himself “badly advised philosophically.”

There are different ways of spelling out [the argument for the irreducibility of consciousness] but the fundamental point is the same: the sheer qualitative feel of pain is a very different feature of the brain from the pattern of neuron firings that cause the pain. So you can get a causal reduction of pain to neuron firings, but not an ontological reduction. That is, you can give a complete causal account of why we feel pain but that does not show that pains do not really exist. (p. 31)

The Edelman chapter next was particularly interesting to me since it provided a sort of “Edelman in a Nutshell” type of explanation for his ideas. Edelman’s Neural Darwinism is another one of those books on my shelf that I have hardly read. One of the core ideas of Edelman is Neural Group Selection. The brain selects assemblies of hundreds to millions of neurons and pares back or lets die other groups. Up to 70% of neurons are lost during development in some parts of the brain in a process that strengthens some groups and eliminates others. Key to consciousness is notion of his neural maps. These are actually sheets of neurons with physical mappings that first relate the neurons to sensory input. However, Edelman views the brain as layers upon layers of maps that relate processing at one level to processing at other levels. Consciousness arises through reentry where signals go back and forth between the different levels of maps in parallel. For all of this to work, the brain requires memory, ability to learn, ability to differentiate self from non-self, and systems of categorization. Searle finds the neurological theory impressive but finally finds that Edelman has the same problem as Crick. There still is no accounting for how these interacting maps generate subjective experience.

Searle praises Penrose’s Shadows of the Mind for its explanations of quantum mechanics and writes it is among clearest non-technical accounts of it he has seen. While he spends some time on the idea of quantum computing occurring in the brain through cytoskeletons in neurons, Searle’s mainly focuses on the Penrose’s idea that consciousness is incomputable because of Gödel’s incompleteness theorem. The problem Searle finds with the argument is it “fails to distinguish between normative algorithms that are supposed to provide ‘unassailable mathematical reasoning’ and the sorts of algorithms that just simulate natural processes such as rainstorms and cellular mechanisms.” Searle accepts Weak AI: human cognitive processes can be simulated with a digital computer. He rejects Strong AI: information processes by themselves do not have and are not able to generate consciousness. Penrose’s argument tries to disprove both Weak and Strong AI.

The question “is consciousness computable?” only makes sense relative to some specific feature or function of consciousness and at some specific level of the description. And even if you have some specific function that is noncomputable, my seeing the truth of Gödel sentences for example, it does not fellow that the underlying processes that produce the ability are not themselves simulatable computationally at some level of description. (p 86)

In his “Consciousness Denied” chapter, Searle takes on Dennett’s Consciousness Explained by comparing it to a “performance of Hamlet without the Prince of Denmark.” Searle’s point is that Dennett denies the existence of exactly what he promises to explain in the title of his book. Searle praises Dennett’s explanations of neurons and neural connectivity but declares the book “makes no contribution to the problem of consciousness, but rather denies there is any such problem in the first place.”

You can’t disprove the existence of conscious experiences by proving they are only an appearance disguising the underlying reality, because where consciousness is concerned the existence of the appearance is the reality [bold is italic in original text]. (p. 112 }

Science might discover consciousness is an illusion like a sunset is an illusion but there is a difference between sunsets and Dennett’s consciousness. “Sunsets science does not deny the existence of the datum, that the sun appears to move through the sky.” Dennett’s version of consciousness denies the existence of the datum itself.

The simplest take on Searle’s view of Chalmers (The Conscious Mind) is that Chalmers is conflicted and can’t really make up his mind what he wants:

He accepts the entire materialist, functionalist story- strong AI and all – as an account of the mind up to the point where he reaches consciousness; but then to his general commitment to functionalism he wants to tack on consciousness which he says is not subject to functionalist analysis. In his view, the material world, with a functional analysis of mental concepts, has an irreducible nonfunctionalist consciousness mysteriously tacked on to it… Chalmers wants both functionalism and dualism. (p. 143-144)

Searle isn’t a fan of functionalism or dualism. About functionalism he writes:

The theory is, in my view, utterly implausible, but to understand its appeal you have to see it in its historical context. Dualism seems unscientific and therefore unacceptable; behaviorism and physicalism in their traditional versions have failed. To its adherents. functionalism seems to combine the best features of each. If you are a materialist, functionalism may seem the only available alternative, and this explains why it is the most widely held theory in the philosophy of mind today. (p 141)

Searle traces much of the “mystery” of consciousness to Descartes and Galileo from the seventeenth century. Their dualism broke the world into matter and a soul which was outside the scope of scientific research. I didn’t found the term “hard problem” mentioned in the index, although it was discussed implicitly in the Chalmers’s chapter. Some may get the wrong idea that Searle might think the “hard problem” can be solved by science. I think he would mostly likely think the “hard problem” is manufactured problem arising from Cartesian dualism.

Searle wraps up his reviews with Israel Rosenfield’s The Strange, Familiar, and Forgotten. I must admit some shock reading this chapter and discovering Rosenfield had already written several ideas that I thought were my own. I don’t recall ever reading this chapter. I don’t have any Rosenfield books as I would most likely have if I had liked his ideas. Either I developed my own ideas independently and after Rosenfield or, more distressing, is the thought that I actually I did read this chapter and incorporated its ideas as my own.

It’s a matter of memory. For Rosenfield, “not only is it impossible to have memory without consciousness, but equally it is impossible to have anything like a fully developed consciousness without memory. Consciousness arises from the dynamic interactions of the past, the present, and the body image…. our sense of self is precisely a sense of experiences affecting the body image, and all experiences involve this sense of self, and hence involve this body image.” From the persistence of this body image over time, through accumulation of memories, arises the self.

The discovery of the body image is not new in neuroscience, but it is one of the most exciting discoveries in the history of the field. In a sense all of our bodily sensations are phantom body experiences, because the match between where the sensation seems to be and the actual physical body is entirely created in the brain (p. 182)

We ought to think of the experience of our own body as the central reference point of all forms of consciousness… any theory of consciousness has to account for the fact that all consciousness begins with consciousness of the body. (p 184)

My conscious experiences of my own body as an object in space and time, an experience that is in fact constructed in my brain, is the basic element that runs through all of our conscious experiences (p. 185)

Searle believes consciousness is real and something science, primarily biology, must explain. He doesn’t rule out consciousness might exist in nonbiological entities, but he is clear that computation by itself, since it is nothing more than symbol manipulation, can’t provide an account of it. Whether the “hard problem” can be solved probably isn’t relevant. Science explains by finding regularities and correlations, then developing a plausible explanations for how the regularities and correlations relate to other known science. It isn’t so much explaining why “blue” looks blue. That may be never answered. It is about explaining how known or discoverable fields, forces, or information can produce consciousness.

Posted in Consciousness, Mysteries, Philosophy | 25 Comments

Doughnuts in the Brain

By Rswilcox – Own work, CC BY-SA 4.0,

The illustration above is of a tokamak. That is a device scientists have been working with for decades to make nuclear fusion possible. So far surprisingly few positive results but it may still work in the end. Part of the way it works is to concentrate a electromagnetic field with external coils formed into a toroidal shape.

In How Squishy Math Is Revealing Doughnuts in the Brain by Kelsey Houston-Edwards writes of some new neuroscience research has “found that certain brain cells use a torus, the mathematical name for the surface of a doughnut, to map their environment”.

Typically the brain is represented as flattened diagram showing connections between neurons somewhat like a circuit diagram. The brain actually exists in three physical dimensions. Accounting to this new research when the temporal firings are mapped geometrical forms emerge that are up to seven dimensions. These are not actual physical dimensions but mathematical dimensions required to express the complexity of the patterns.

Immediately after receiving the stimulus, the simplicial complexes grew like a massive Lego construction, adding in pieces of higher and higher dimensions until the sculpture reached the maximum of three or four dimensions, depending on the stimulus. Then the whole thing rapidly disappeared. “You have these increasingly complex structures that are being created by the stimulus until it just all collapses,” Hess says.

In this topological analysis, the firing data gets mapped temporally and spatially at different levels of granularity. “‘At every scale you’re going to have a different snapshot of what that complex looks like,’ says Ranthony Edmonds, a mathematician at the Ohio State University”.

Topologists study this spectrum of shapes—recording, in particular, the number of holes in each dimension. They are especially interested in holes that persist through many different scales. Some holes briefly appear and then disappear, but the stubborn holes—those that survive through a range of scales—point to the most essential features of the data. TDA can thus reduce a complex mess of data to a simple list of stubborn holes, in much the way that a JPEG photo file compresses an image. “It’s a way of paring down the data to the stuff that really matters so that we have something much more workable,” Ghrist says.

Sometimes the holes identified in this way have direct interpretations. Mathematician Jose Perea of Northeastern University and a team of computational biologists used persistent homology to find periodic biological processes—those that repeat at regular intervals. Examples include the metabolic cycle of yeast or a mouse’s circadian clock. “What is recurrence or repetition?” Perea asks. “Geometrically it should be like you’re traversing some sort of loop in the space of the thing that you’re looking at.

Is any chance that the “holes”, especially the persistent ones, might be where electromagnetic fields generated by the firings are concentrated? Maybe the “fusion” of consciousness isn’t found directly in the firings but in the holes where the neurons don’t fire.

Just another broad speculation. 🙂

Posted in Consciousness, Electromagnetism | Leave a comment