Sunday, 28 January 2024

Me, Myself and the Multiverse: Self-Obsessive Talk About Many Worlds

First things first. I’m more than willing to accept that it’s possible that there are many worlds or that there’s a multiverse. I’m even willing to accept that many worlds actually exist. However, I’m not willing to accept the titillating, sexy and self-obsessive crap that’s said about them by some scientists, and which the New Scientist gleefully quotes.

[See note 1.]

(i) Introduction
(ii) Max Tegmark on Many Worlds
(iii) Seth Lloyd on Many Worlds
(iv) Don Page on Many Worlds

The following essay isn’t a scientific or metaphysical take on the existence (or not) of many worlds. It’s a take on some of the silly things which have been said about them by scientists.

Yet, like the science writer Philip Ball, most readers will see the appeal of many worlds.

Ball writes:

“Alternative realities hold an irresistible allure. Whether it’s Dickens’ A Christmas Carol, Frank Capra’s It’s a Wonderful Life, or the quantum-computed parallel universes of Alex Garland’s recent TV series Devs, the possible lives that we can imagine having led but did not lead offer a stage for acting out our fears and fantasies.”

Ball then ties that to the science — or, more precisely, to interpretations of the science. He continues:

“It is no surprise, then, that the Many Worlds interpretation (MWI) of quantum mechanics seems to hold such attraction. Even though most physicists dismiss or even deride it, it is often eagerly embraced by physics popularizers and their audiences. Yet it can be hard to figure out how seriously some of its advocates really take it. I believe some physicists genuinely see it as an elegant solution to deep conundrums of the notoriously mind-bending quantum theory, and I sympathize with some of their reasoning. But when they start talking about ‘quantum brothers’ (and presumably sisters, though Many Worlds has curiously few female advocates) [] I have to wonder whether, indifferent to the philosophical complications, they are just enjoying the fantasy.”

… “[j]ust enjoying the fantasy”.

And many people may now say: And what’s wrong with that?

Nothing.

As long as we all realise that’s precisely what it is: people just enjoying the fantasy.

And it’s not as if Philip Ball has just made all this stuff up.

For example, according to the science writer John Gribbin, “[t]here really is [] a Wuthering Heights world (but not a Harry Potter world)”.

The New Scientist writer Rowan Hooper himself implicitly expresses the vanity — or fear — of many of these deep words about many worlds in the following passage:

“If the multiverse is real [] there always will be a universe in which ‘you’ are alive, no matter how long you play.”

Isn’t this a (scare-quoted) “scientific” version of the afterlife posited by religions? Indeed, it’s not much more sophisticated than that. (It may even be less sophisticated.) It actually reminds me of the spiritual idealist Bernardo Kastrup’s words on the afterlife, which are also equally reassuring to his disciples.

In a video called ‘When We Die and The Meaning of Life’, Kastrup offers his viewers the following (as one of them puts it) “very reassuring” words:

“Under analytical idealism, your core subjectivity remains as you as you go through the process of death, and even after. Because your core subjectivity is the core subjectivity of nature. It’s what exists. Where is it going to go? Life and death happen to it — within it. Life and death are events in core subjectivity, not at the beginning and end of core subjectivity.”

In any case, Philip Ball himself goes into the science (or lack thereof) of many worlds, which I won’t be doing in this essay. However, I will be making various logical points. That said, my main theme will be the psychological self-obsessions of the scientists who feel the need to speak about many worlds in the way that they do.

[A strong distinction can be made between the many worlds of Hugh Everett (i.e., his rejection of the collapse of the wave function), and the various scientific theories about the multiverse, which only tangentially mention wave-function collapse. However, these distinctions don’t really impinge on the issues discussed in this essay.]

So let’s start with the Machine Learning researcher, physicist and writer Max Tegmark.


Max Tegmark on Many Worlds

In an interview with the New Scientist’s Rowan Hooper, Max Tegmark said the following:

“‘I feel a strong kinship with parallel Maxes, even though I never get to meet them. They share my values, my feelings, my memories — they’re closer to me than brothers.”

[Recall Philip Ball’s earlier words: “But when they start talking about ‘quantum brothers’ [].”]

How does Tegmark know anything about these “parallel Maxes”?

Does he simply do so according to the probabilities which are vital to many-worlds theory? In other words, if there really are infinite worlds, then Parallel Maxes surely must “share [Tegmark’s] values, [his] feelings, [his] memories”…

But what a weird route to kinship this is.

Tegmark has a “strong kinship” with Parallel Maxes simply because, according to many-worlds theory, they must exist. However, he hasn’t met any of these Parallel Maxes. He hasn’t any direct experience of them. Thus, even if Parallel Maxes do exist, then why does Tegmark feel kinship with them — if there are no causal interactions whatsoever between himself and these “counterparts” at all?

Is this a gross misuse of the word “kinship”, or am I simply being pedantic here?

In other words, are these Parallel Maxes purely logical constructions — or even like David Lewis’s “counterparts”?

Another thing is that if there are infinite Parallel (or Possible) Maxes in infinite possible worlds, then why do all of them share Tegmark’s values, feelings and memories? Some Parallel Maxes must do so, according to the logic of many-worlds theory. However, infinite Parallel Maxes won’t.

So why does Tegmark believe that all Possible Maxes share all his values, feelings and memories? If every possible Tegmark exists, then many Maxes — infinite Maxes — must also be serial killers, self-obsessed narcissists, paedophiles, dictators, etc.

Rowan Hooper also tells us that Tegmark’s

“cosmic perspective makes it difficult for [him] to feel sorry for himself: there’s always another Max who has it worse than him” .

Shouldn’t Hooper have told his readers that there’s also a Parallel Max who “has it” better than Our Tegmark too? There’s also an infinite number of Parallel Maxes who have it almost exactly the same as him. And there’s also infinite Parallel Maxes who have it slightly better, slightly worse, much worse, much better, etc. than Tegmark @ our world.

So, with all these possibilities, one wonders what the point is.

Indeed, one wonders why Tegmark should single out the Parallel Max who “has it worse than him”, and not the infinite Maxes who have it better than him.

As before, Tegmark may single out the Parallel Max who has it worse than him purely because this serves an emotional and moral purpose. However, that’s just a fact about the psychology of Max Tegmark @ our world. It has little to with the metaphysics, science or logic of many worlds or the multiverse.

In other words, many-worlds theory has provided Tegmark with a playground in which he can do various things. Indeed, Hooper says that Tegmark can “learn some lessons” from these many worlds. Yet it must also be said that many other people will learn very different lessons — even ones that directly contradict Tegmark’s own — when they also think about many worlds.

Perhaps Tegmark wouldn’t deny any of this.

Again, what point does thinking about infinite Parallel Maxes serve?…

Well, Our Tegmark himself tells us:

“The multiverse has definitely made me a happier person. It’s given me the courage to take chances to be bold in life.”

Readers may wonder if Tegmark would believe in the multiverse had it made him an unhappier person. And what if its existence had made him cowardly by stopping him from taking chances in life? After all, why shouldn’t deep thought about many worlds have these negative effects on people too? Indeed, according to the logic of many worlds, it will do. What’s more, there’ll also be an infinite number of Parallel Maxes who’re made unhappy when they think about many worlds.

For Tegmark, many-worlds talks serves a moral and emotional purpose. And in order for that to work, he must ignore all the Parallel Maxes who’re evil, dull, without interest, etc.

Consequently, this contemplation of Parallel Maxes just seems like a vanity project on Tegmark’s part.

Indeed, according to Shannon Hall, Tegmark “has even calculated the distance you would have to travel to meet your doppelganger”. Apparently, it would be “1 followed by a hundred thousand trillion trillion trillion zeros” metres.

So is the multiverse personal therapy for Tegmark?

Perhaps it is, and there’s no problem with that. Yet this therapy has little to with the science, metaphysics and logic of the multiverse. But, again, perhaps Tegmark and others wouldn’t claim otherwise.

Now take the words of a professor of mechanical engineering, Seth Lloyd.

Seth Lloyd on Many Worlds

Seth Lloyd

Is it ethics/morality, religion or even politics which drives these statements on many worlds?

Seth Lloyd, for example, tells us that he’s “always enjoyed the gradual marginalisation of humanity”. He adds that many-worlds theory is “really like the ultimate step in the marginalisation of human beings”. What’s more, he “enjoy[s] that” marginalisation.

Some readers may wonder why it’s better to talk about the “marginalisation of humanity” than it is to go all anthropic and (as it were) big up humanity (i.e., in terms of its place on the cosmic stage).

Instead, why not do neither?

It can even be argued that Seth Lloyd’s delight in the marginalisation of humanity belongs to exactly the same mindset as that of those who big up humanity. In other words, all he’s doing is inverting this (as it were) binary opposition, and thus playing exactly the same game.

[This is just as the existentialists inverted religious people’s stress on “the meaning of life, the universe and everything” by stressing the absurdity and/or meaninglessness of life, the universe and everything. See my ‘Life and the Universe are Neither Meaningless nor Meaningful’.]

To explain in more detail.

Many religious people — and others too — have stressed the profound importance of (what Seth Lloyd calls) “humanity” in the Universe. Lloyd stresses humanity too. It just so happens that he focuses on humanity by marginalising it.

The happy medium is to neither to big up humanity, nor to marginalise it.

More carefully. In some contexts, the importance of humanity can easily be made. However, in other contexts, its lack of importance can also be made. Moreover, the stress on the marginalisation of humanity by a member of humanity (using the highly-sophisticated theories of humanity to do so) just seems bogus or even self-contradictory.

This isn’t to argue that humanity should be bigged up because members of it came up with many-worlds theory itself (which can be used to marginalise humanity). However, many-worlds theory, depending on context, shouldn’t really be used to marginalise humanity either.

Indeed, Seth Lloyd marginalising humanity could even be seen as him bigging himself up in the process — and he’s a member of humanity.

Crudely, are there any other beings marginalising themselves in other worlds?

Now for Canadian theoretical physicist and “evangelical Christian” Don Page:

Don Page on Many Worlds

Don Page takes the biscuit when he brings God into the many-worlds equation. He states:

“God won’t collapse the wave function to cure people of cancer, or prevent earthquakes or whatever, because that would make the universe much more inelegant.”

Don Page is motivated by aesthetics and theism — at least in this passage. He believes that if God collapsed the wave function, then that would be aesthetically “inelegant”. In other words, curing people of cancer and preventing earthquakes would be — at our world — inelegant.

This means that Page’s God doesn’t collapse the wave function for aesthetic reasons. Instead, we have many worlds in which every possibility is instantiated. (Including starvation, deadly diseases, rape, war, etc.)

This is bizarre stuff.

Anyway, that’s Don Page on God’s personality.

What about Page on the personalities of what he calls “many-worlds experts”?

Page happily admits that he’s

“somewhat relieved to find that even many-worlds experts ultimately behave in much the same way as people who know nothing of it”.

However, Page concludes by saying that he’s “also realised that it shapes the way they think about their decisions”.

My first thought is that most many-worlds experts don’t think about many worlds in the (religious and theistic) way in which he does. In other words, they don’t use it as a tool in theology, personal morality, and whatnot. That said, Page went onto say that thinking about many worlds did “shape” the “decisions” of the experts who did the thinking. However, that shaping results in them “behaving] in much the same way as people who know nothing of it”.

So, again, what’s the point of all this stuff about many worlds?


Note:

Most of the quotes in the essay above come from the New Scientist book The Universe Next Door. The passages from Philip Ball don’t come from that book.



Friday, 19 January 2024

Donald Hoffman Is Lost in Maths: Decorated Permutations, Markov Chains… and Idealism

 

Donald Hoffman takes the image on the right to “correspond to” or “map” the “ [partial] fusion of conscious agents”.
“When a cognitive psychologist is talking a lot about fundamental physics to make his argument, it makes me very skeptical. Hoffman repeatedly says ‘the physicists,’ but he admits that most experts disagree with him. [] By the same token, he shouldn’t say ‘the math tells us that ____’ [] he shouldn’t claim that ‘the math’ tells us anything, instead he should say ‘my [or Chetan Prakash’s] math’ tells us something.”

Anon X

[This reply can be found after the YouTube video ‘What Is Reality?’, in which Donald Hoffman is interviewed by the philosophers Philip Goff and Keith Frankish.]


(i) Introduction
(ii) Donald Hoffman’s Theory of Everything
(iii) Hoffman’s Use of Mathematics and Physics
(iv) Abstract and/or Beyond Spacetime?
(v) Decorated Permutations, Markov Chains and Mapping
(vi) Spacetime Is Doomed

Donald Hoffman is a cognitive psychologist who works at the University of California, Irvine. He hasn’t written any papers on mathematics or physics. However, he has made extensive use of both mathematics and physics in work which is firmly outside both of these disciplines.

This essay concentrates on the paper ‘Fusions of Consciousness’, which includes lots and lots of maths.

In that publication we have references to “permutated decorations”, “the Parke–Taylor formula”, “positive Grassmannians”, “Plücker coordinates”, “Feynman diagrams”, “quantum field theory”, “gluons”, “scattering amplitudes”, “countable infinities”, “on-shell diagrams”, “cosmological polytopes”, “the entropic arrow of time”, “dimensional simplex”, “Planck time”, “Markovian kernels”, “𝜎-algebra 𝒳”, “qualia kernels”, “Cantor’s hierarchy”, “n-dimensional vector space”, “communicating classes”, etc.

Yet the central theme of ‘Fusions of Consciousness’ is philosophical in nature. Indeed, it’s also highly speculative.

It’s important to stress here that this essay isn’t a long argument against interdisciplinary work, or against the use of mathematics in philosophy. Rather, I’m simply a critic of Donald Hoffman’s interdisciplinary work, and the use of mathematics in his own philosophy.

It really doesn’t go beyond that.

So, for example, I’m a fan of the philosopher Owen Flanagan and his use of cognitive psychology, (general) psychology, neuroscience, etc. in his writings. [See Flanagan’s books The Science of Mind and Consciousness Reconsidered.]

Anyway, to put all the detail which follows in its broad context, it’s worth stating Hoffman’s grand vision: that of creating his very own “theory of everything”.

Donald Hoffman’s Theory of Everything

“There is no theory of everything”… in physics. However, Donald Hoffman believes that his very own brand of philosophical idealism provides such a theory. [This is the slogan for this video interview with Donald Hoffman.]

In his own words, Hoffman believes that his idealism (or what he calls conscious realism) is a

“vehicle sufficiently robust to sustain the next leg of our search for a theory of everything”.

Indeed, Hoffman compares what he’s doing to what Alan Turing did all those years ago. [See here.]

Hoffman also tells us that

“the laws of physics and the special sciences are themselves a projection of the dynamics of conscious agents”.

Not surprisingly, then, Hoffman adds that

“we sketched how spacetime and particles may arise as a projection of the dynamics of conscious agents”.

As some readers will already know (due to his popular book The Case Against Reality), Hoffman applies his idealism to evolutionary theory too. In Hoffman’s own words:

[Could it be that the entire] evolutionary framework is an artifact of projection from the dynamics of conscious agents?”

Hoffman then adds that “[w]e would require to obtain evolution as a projection of agent dynamics”.

However, let’s now focus on Hoffman’s use of mathematics and physics.

Donald Hoffman’s Use of Mathematics and Physics

At least in terms of Donald Hoffman’s academic publications which deal with conscious realism (or idealism), it’s wrong to focus on him alone. That’s because Hoffman is actually a (as it were) fusion of two conscious agents: himself and Chetan Prakash. Indeed, Hoffman and Prakash have been working together since the 1980s. (Hoffman has also worked with Robert Prentner, Manish Singh and other academics with very similar philosophical views.)

It’s highly likely that Chetan Prakash is responsible for nearly (perhaps literally) all of the mathematics included in their cowritten published papers. (It’s even possible that Prakash introduced Hoffman to this brand of “mathematical idealism”.)

ZDogg interviewing Donald Hoffman.

It can also be guessed nearly all of Hoffman’s followers and fans who’ve read the paper ‘Fusions of Consciousness’ (January 2023) won’t have understood much — or even any — of the mathematics in it. This is certainly true of virtually all the people who’ve interviewed Hoffman for the their YouTube channels. [See the dozens — or even more — of interviews of Hoffman here.] Of course, it would be hard to establish this claim without a survey of some kind. However, it’s far less speculative than some of Hoffman’s own philosophical and cosmological claims.

Mathematicians and physicists, on the other hand, may (or even will) understand the maths (qua maths) and the physics (qua physics) in that paper. However, most of them won’t also understand how Hoffman is tying all the maths and physics to philosophical issues, consciousness and to idealism generally. (Most mathematicians and physicists will be perplexed by the references to “qualia”, “monads”, “the One”, “conscious agents”, “free will”, etc.)

All that said, Hoffman himself doesn’t understand much of the maths he uses either.

Why do I say that?

There are a few reasons.

Firstly, he’s a cognitive psychologist with no (professional) background in either mathematics or physics. Secondly, we can accept Hoffman’s own word on his lack of maths skills.

For example, in a YouTube video called ‘Abstract Math of Conscious Agent Theory w/ Dr. Donald Hoffman’, Hoffman stated the following:

[W]hen you have limited math talents like me [] That’s what led me to then go to a real mathematician [and fellow idealist] Chetan Prakash and pursue the theorems now in the case of the agent dynamics.”

Again, it can be assumed that nearly all the mathematics is down to Chetan Prakash, whom Hoffman has worked with on almost everything he’s published — at least when it comes to consciousness, conscious realism, doomed spacetime, etc. [See a long list of Hoffman-Prakash collaborations here.] What’s more, when you see Prakash’s independent papers and live presentations (at least on the subjects Prakash and Hoffman share), you’ll note that they’re almost identical to Hoffman’s own — even down to the deployments of exactly the same phrases, as well as using the same the images, graphs, slides, and so on. [See the presentation — on YouTube — ‘Conscious Agent Dynamics: Chetan Prakash’, which could easily have been given by Hoffman himself.]

Bearing in mind all the above, it won’t be a surprise to find out that Hoffman hasn’t discussed these issues with professional physicists, professional mathematicians or with any other professional scientists outside his own idealist (or “constructivist”) colleagues and cowriters. (At least there aren’t any publications and videos which show that there’ve been such discussions.) Indeed, in a question-and-answer session published in Science & Nonduality called ‘The Universe is a Conscious Agent’ (starting at 13.09 minutes), Chetan Prakash himself makes this clear when he tells the person who’s interviewing him that “scientists, generally, have more or less ignored [their work]”, and that “philosophers get very upset by it”.

The problem here is that this frank acknowledgement by Prakash sets both himself and Hoffman up to be what’s often called “scientific heretics”. And this designation is always a boon when it comes to many people with religious and “spiritual” inclinations.

But what of that very-extensive use of maths in Hoffman’s papers?

Essentially, Hoffman and Prakash are simply replicating the mathematics and physics which already exists, and then applying both to their idealist philosophy. Indeed, Hoffman admits he’s reliant on other people’s physics, as well as on the mathematics of Prakash.

However, it needs to be said that all the maths (qua maths) and physics (qua physics) in this paper may well be largely correct.

However, that’s not the issue here.

The issue is that virtually none of the physics and maths is original to Hoffman and Prakash. What is original to them is the way they apply that preexisting maths and physics to their philosophical idealism. More relevantly, it’s the applications of the maths and physics that’s philosophically — and otherwise — highly suspect.

So, in simple terms, Hoffman’s “theory of conscious agents” uses preexisting maths and physics, and then takes such things in an idealist direction.

Ultimately, Hoffman takes maths and physics in a “spiritual” direction too. However, that wont be tackled in this essay. [See here.]

So let’s tackle the maths and physics in Hoffman’s paper a little more.

Abstract and/or Beyond Spacetime?

An image from ‘Fusions of Consciousness’.

Donald Hoffman relies heavily on Nima Arkani-Hamed and Jaroslav Trnka’s amplituhedron.

Let Hoffman himself state the following:

“Another new candidate is a class of geometric constructions outside of space and time, including the amplituhedron discovered by Nima Arkani-Hamed and Jaroslav Trnka. Subatomic particles collide and scatter in a multitude of ways, and physicists have for decades had formulas for computing their probabilities, formulas that assume physical processes which evolve locally in space and time. But, as it happens, these formulas are unnecessarily complex and hide deep symmetries of nature. The amplituhedron simplifies the formulas, exposes the symmetries hidden by space-time and, in the process, abandons the assumption that space and time are fundamental.”

There’s a strong sense in which “a class of geometric constructions” must be outside of spacetime by virtue of the simple fact that such geometrical constructions are abstract. [See here.] However, this is only in the sense that numbers, geometrical shapes, functions, etc. can be deemed to be outside of space and time according to a (purely) Platonic philosophy of mathematics. [See here.]

Yet this Platonic picture of maths doesn’t have much — or even anything — to do with either idealism or consciousness.

In specific terms of Nima Arkani-Hamed’s amplituhedron: it’s a geometrical tool which is used by theoretical physicists. It can also be seen as a pure abstraction. (The words “highly abstract” are often used about the amplituhedron.) In other words, amplituhedron theory provides physicists with a geometric model that’s essentially abstract in nature. Indeed, it’s abstract primarily because the geometrical space it offers theoretical physicists is not a (physical) spacetime.

In any case, how, exactly, can a geometrical tool which simplifies the calculations which account for the interactions of particles be tied to Hoffman’s philosophical idealism? (Arkani-Hamed himself has stated that the amplituhedron helps simplify scattering-amplitude calculations.) Inversely, how can Hoffman’s philosophical idealism be tied to a very particular model of particle interactions?

All that said, Hoffman actually tells us what he’s doing. He writes:

“This section and the next propose how to project the dynamics of conscious agents down to spacetime, using structures called ‘decorated permutations’. [] The theory of conscious agents starts with a dynamics of agents that is, by hypothesis, outside of spacetime. So this theory must explain how spacetime and objects arise entirely from the dynamics of agents. This is a colossal project.”

This is a “colossal project” to establish a consciousness-first “theory of everything”. However, this isn’t subjective idealism. Instead, it’s essentially a 21st-century brand of objective idealism in that Hoffman focuses on “the dynamics of conscious agents” (i.e., in the plural) and their “interactions”.

Now for those “Markov chains” and “decorated permutations”, which Hoffman keeps on mentioning (i.e., in almost every interview his gives).

Decorated Permutations, Markov Chains and Mapping

Donald Hoffman tells us that he’s attempting to

“show how decorated permutations, and other structures that physicists have found beyond spacetime, arise as a projection of a deeper theory of conscious agents”.

In Hoffman’s idealism, it’s not only that brains, neurons, trees, particles, football matches, sex acts, gluons, etc. are all the product of conscious agents, so too are the “decorated permutations, and other structures” which Hoffman uses and frequently mentions.

Hoffman tells us more about the decorated permutation:

“One key insight is this: the deepest structure beyond spacetime that distills physics is the decorated permutation.”

Is the decorated permutation “beyond spacetime”, or, instead, is it simply abstract? Alternatively, is it beyond spacetime because it is abstract?

Yet these two alternatives don’t do much work for Hoffman. That’s because his philosophy isn’t actually about anything abstract (i.e., as in the Platonic view of numbers, geometrical shapes, etc.): it’s about something entirely different.

Let’s go into a little more detail on mathematical abstractions.

Hoffman uses the term “correspondence” a few times. (As in the subsection called ‘Correspondence between Agent Dynamics and Physical Particles’.) He also refers to mapping.

Hoffman writes about his “theory of conscious agents” in the following way:

[I]ts Markov-chain dynamics must map to decorated permutations and spins. With that map, we can propose a precise correspondence between (1) the Markov polytopes that describe all possible agent dynamics and (2) the on-shell diagrams that generate scattering amplitudes.”

In Hoffman’s philosophy, “Markov-chain dynamics” map “decorated permutations and spins”. However, the former also map the “dynamics of conscious agents”. Thus, to state the obvious, neither Markov chains nor decorated permutations actually are conscious agents, their interactions and dynamics. They’re supposed to map — or correspond to — such things.

In simple terms, Markov chains are used as tools. They’re ways of statistically modelling “real-world processes”.

Hoffman, on the other hand, uses Markov chains to model processes outside the (as it were) world — or at least outside physics and anything observable or empirical.

Just to show how odd — or simply different — Hoffman’s use of Markov chains is, it’s worth knowing that they’re used as ways to study animal population dynamics, currency exchange rates, cruise control systems in cars, queues of customers arriving at an airport, etc.

In detail.

A Markov chain (or Markov process) describes a sequence of events, and assigns probabilities to that sequence (or to each step in that sequence). What matters in this description is that, basically, each event depends on the previous event — or on the precise state of that previous event.

Hoffman, on the other hand, applies Markov chains to conscious agents and their interactions.

None of this work tells us what a conscious agent is. [See my What Is a Conscious Agent? Donald Hoffman, Please Tell Me’.]

None of this work tells us how Hoffman actually (as it were) gets hold of consciousness agents and their interactions in order to map them with Markov chains and decorated permutations.

Consequently, what, exactly, is Hoffman mapping, and how has he gained access to what it is he’s mapping?

In any case, all this clearly takes Hoffman beyond physics and science generally. Specifically, conscious agents and their interactions don’t belong to physics.

What do they belong to?

The answer to that question is simple: they belong to Hoffman’s philosophical idealism.

So what has all this to do with “the death of spacetime”?

Spacetime Is Doomed

Donald Hoffman warns us about something he calls “spacetime recidivism”.

According to Hoffman, “the physicists” themselves have gone beyond spacetime. [Read the opening quote again in reference to Hoffman’s repeated phrase “the physicists”.]

An (or the) alternative to spacetime recidivism, however, can be found in Hoffman’s following words:

“Spacetime is doomed. It, and its particles, cannot be fundamental in physical theory, but must emerge from a more fundamental theory.”

Hoffman believes that this “more fundamental theory” is his very own conscious realism — aka, his (scare-quoted) “scientific idealism”.

From another angle, Hoffman also believes that he needs to get outside spacetime in order to establish his (objective) idealism.

So not only must Hoffman’s philosophy account for particles, brains, neurons, trees, cups, football games, sexual acts, etc. in idealist terms: it must also do so with spacetime itself. In Hoffman’s philosophy, this means that “spacetime and objects arise entirely from the dynamics of agents”.

Basically, in Hoffman’s idealism literally everything is down to (or a “projection of”) conscious agents — or everything is (as it were) in the Big Consciousness of what Hoffman calls “the One”.

In detail.

Hoffman tells us that

‘[p]hysics’ here is usually taken to refer to the physics of spacetime and objects, namely quantum field theory and general relativity”.

Hoffman goes beyond spacetime in the following way:

[W]e do not locate the network of conscious agents inside spacetime precisely because physics and evolution tell us that these structures are not fundamental, and because physics itself has found new structures beyond spacetime, such as amplituhedra and their associated decorated permutations.”

However, what’s original to Hoffman can be found in this conclusion:

“So instead of merely re-describing conventional physics with conscious agents, we aim to show how decorated permutations, and other structures that physicists have found beyond spacetime, arise as a projection of a deeper theory of conscious agents.”

This “deeper theory of conscious agents” is the ultimate form or reductionism.

Yet it needs to be stated here that Hoffman’s idealist philosophy doesn’t stop being reductionist (or an example of a reduction) simply because it’s dealing with “non-physical” conscious agents, consciousness, and the One. Indeed, it has all the hallmarks of a classic reductive philosophy. However, it just also happens to have many “spiritual” elements within it.

To repeat. In Hoffman’s philosophy, literally everything in physics and the universe itself is reduced to conscious agents — or to the consciousness of the One.

That is the central thesis of Donald Hoffman’s idealism.


Note: A Small Selection of Mathematical Extracts From ‘Fusions of Consciousness’