Monday, January 12, 2026

Dr. Bee Revives Nonlocal gravity

Sabine Hossenfelder posts a new video:
0:38 The laws of physics that we have discovered have one thing in common: they are local. This means that objects in two different locations cannot interact with each other. They don’t know anything of each other. ...

A bit like theorists and experimentalists. 0:53 It is only by sending some sort of signal from one object to the other that they can react to each other’s presence. We have no idea why the laws of nature are this way. There’s no particular reason why they should be. It’s just that it corresponds to our experience.

I would say that there are reasons. Locality is the whole basis of scientific reductionism. It allows us to do controlled experiments. Without it, we could never make sense out of the world.

Also, it is all a consequence of the non-euclidean geometry of spacetime.

1:09 Newtonian gravity is not local, this bothered Newton a lot back then. You see if you take Newton’s law of gravity, with the gravitational force proportional to the mass divided by the square of the distance, then if you move the mass, the distance increases and the force changes instantaneously, everywhere. Newton was greatly bothered by this. He called it “action at a distance” and that’s also what Einstein meant by the phrase.

1:39 Einstein’s theory of general relativity, which we use now to describe gravity, doesn’t have this problem. In Einstein’s theory, gravity is described by the curvature of space and time. And that curvature is caused by the mass and energy in spacetime. If you move the mass that causes spacetime to curve, then the curvature changes, but not instantaneously. The change spreads outwards at the speed of light

Actually it was Poincare who figured out that gravity propagates at the speed of light. Einstein did not accept or believe it.

And this nonlocal gravity just seems to do it. 4:18 Better still the idea that gravity isn’t entirely local is something you’d expect to naturally occur in a theory of quantum gravity because we know that quantum physics isn’t local. I really like the idea.

No, this is crazy talk. Quantum physics is just as local as general relativity. In cosmology, you could have a couple of orbits that are correlated, so that knowledge of one tells you something about the other. That's all people mean by quantum nonlocality.

A reader will surely say that no, quantum nonlocality means that a correlation could be quantitatively greater that what a believer in an alternative theory might expect. Yes, that is true, but it does not have a bearing on whether a theory is local or nonlocal.

In another video, she endorses the Einstein block universe.

Maybe this video more than anything explains why I've always been a bad 11:30 fit for academia. Because what really is this? Is it philosophy? Is it physics? It's neither here nor there. Yet for me, questions like this are the reason I studied physics because I want to understand how the universe works.
Academia has no need for her twisted ideas about how the universe works.

Elsewhere she expreses a belief in superdeterminism, but that contradicts some of what she says here. Maybe she has abandoned superdeterminism, but she ought to explain it.

quantum 9:43 physics has an indeterministic unpredictable element which is what happens the moment one makes a measurement. ... There seems to be a difference between the past and the future in quantum mechanics.

Most of the video is an argument that Einstein's relativity requires us to believe in the block universe, where the future is as real as the past. She says different coordinates are allowed, and so the meaning of "now" can be different for different observers.

This is a misunderstanding of relativity. Einstein was a determinist, and did believe in the block universe, but most physicists do not.

Yes, relativity does allow different coordinates, but that does not mean you have to accept another "now", or that the future is determined. Most physicists accept that the CMB radiation defines a universal now, without contradicting relativity.

Even if I accepted that there is no universal "now", and that my future is already in a past coordinate system for some other observer, it would not follow that my future is determined. She defines "now" by coordinate lines, not light cones, so an observer does not even see what is now for him.

Dr. Bee talks about many science topics outside her expertise. These two videos are squarely within her expertise, so I expect better.

Monday, January 5, 2026

Cantor's Diagonal Argument

Cantor's diagonal argument is famous for proving the uncountability of the real numbers. It is not so well known that Cantor's first set theory article proved it differently.

Here is the proof. First of all, we need to assume the completeness of the reals, in some form.

Theorem. If { Ak } is a collection of compact nested subsets of R, the real numbers, then the intersection is nonempty.

Compact means closed and bounded, like the interval [0,1], including the endpoints. Nested means each contains the next. The proof depends on how you have defined R. For example, you could get an intersection point as the least upper bound of the left endpoints.

This is a way of expressing the completeness of the reals. If we used the rationals instead, then we could have nested intervals about √2, and the intersection would not include any rational numbers.

To prove uncountability, suppose we have an enumeration { xk } of R, and we seek a contradiction. We define a collection { Ak } with xk not in Ak, and apply the theorem to get a real number in all the sets, and hence not in the enumeration.

Start with [0,1]. Let A1 be a closed interval subset excluding x1. Eg, if x1 = 0.4, then A1 could be [0,.3] or [.5,1]. Likewise, let A2 be a subset of A1 that excludes x2, and so on, and thus Ak excludes x1,..., xk. Applying the theorem gives at least one real in all of the intervals, and hence not part of the enumeration.

This is really a diagonalization argument, and maybe less intuitive, so what's the point?

I like it better. The usual diagonal argument is deceptively simple, as it assumes facts about the reals, such as every decimal expansion converging to a real, and reals having unique decimal expansions, with certain exceptions. This is still a diagonal argument, gets more directly to the heart of the matter, and explicitly uses the completeness of the reals, without the distracting decimal expansions.

Cantor gave a similar diagonal argument to show that the cardinality of a set A is less than the set P(A) of all its subsets.

Suppose not, so that there is some onto function f: A -> P(A). That is, where f(A) = P(A). Then let B = { a in A : a not in f(a) }. If B = f(b) for some b in A, then b is in f(b) if and only if b is not in f(b), a contradiction. Thus the image of f cannot be all of P(A).

This shows that taking all subsets always gives a set of larger cardinality.

Scott Aaronson recommends a video on Cantor's diagonal argument.

Thursday, January 1, 2026

Wild Enthusiasm for Quantum Computing

This new interview makes a lot of big claims for quantum computing:
Q-Day — when quantum computers crack all encryption — is coming. Quantum eMotion COO John Young breaks down the pros and cons of what’s to come.
It is all ridiculous. I could not even bear to listen to the whole thing.

I have gotten used to this sort of enthusiasm for AI. But a 100 million people use AI everyday. Quantum computing has very little hope of ever accomplishing anything.

Monday, December 29, 2025

Heisenberg's 1925 Quantum Mechanics Paper

Here is a good new video: How Heisenberg Discovered It. There is more detail here.

It is largely on Heisenberg's famous 1925 Umdeutung paper.

In his article, Heisenberg described a new framework for quantum theory that was based on observable parameters (parameters that could be measured in scientific experiments), such as transition probabilities or frequencies associated with quantum jumps in spectral lines, rather than unobservable parameters, like the position or velocity of electrons in electron orbits. Thus, Heisenberg used two indices for his re-interpretation of position, corresponding to initial and final states of quantum jumps. Heisenberg used his framework to successfully explain the energy levels of a one-dimensional anharmonic oscillator.

Mathematically, Heisenberg used non-commutative operators in his new multiplication rule, i.e. generally A B ≠ B A for quantum quantities A and B. This insight would later become the basis for Heisenberg's uncertainty principle.

This theory beme quantum mechanics, and has been well accepted for a century, described in textbooks, and applied to a trillion dollar industry.

The bizarre thing is that now the leading popularizers of quantum mechanics seem to not understand Heisenberg's first paragraph. The latest offender is the Veritasium channel. I have criticized many others on this blog. What they have in common is that they refuse to accept that quantum mechanics is about observables, and argue that the theory must mathematically represent unobservables.

In their jargon, the unobservables are called hidden variables, and the belief that they should be incorporated into the theory is called realism.

The 2022 Nobel Prize was given for the experimental proof that local hidden variables are impossible. John von Neumann had said so in his 1930 treatise, and the experiments were just confirmation of what the textbooks have said since 1930.

Maybe all the textbooks are wrong, but that is like saying that perpetual motion machines are possible, or that rockets can go faster than light. Anyone making such a claim needs to explain how everyone else has been so wrong for so long.

They do not, of course. They mainly give some silly argument about how QM would be hard to understand if it included the unobservables. Of course that is true, because the whole point of QM since 1925 has been to exclude the unobservables.

When you hear people demand realism, they are essentially demanding commuting hidden variables to represent unobservables. The whole point of QM is to avoid such things.

Another trouble point is the supposed quantum nonlocality. I have come to the conclusion that this is a misunderstanding or rejection of probability, and doesn't even have anything to do with QM. If a theory predicts probabilities, as all physical theories do, then it says there is a chance something happens and something else does not happen. Assume that something involves at least two spatially separated events. As soon as you run an experiment and see that something happens, you immediately learn that something else did not happen, and that conclusion is the supposed nonlocality. You can call this nonlocal, but that is silly as the same thing happens in any theory.

Friday, December 26, 2025

Einstein's Notion of a Principle Theory

Einstein scholar Galina Weinstein
Einstein's distinction between principle theories and constructive theories is methodological rather than metaphysical. Principle theories such as thermodynamics and relativity articulate empirically distilled constraints that delimit admissible microphysical models, while constructive theories remain provisional and revisable....

In late 1919, following the British eclipse expeditions that confirmed the light-bending prediction of general relativity, Albert Einstein agreed to write an explanatory article for The Times of London. Written in German as “Was ist Relativitätstheorie?” and published in English as “Time, Space, and Gravitation” [7, 8], the article was intended not merely as popularization, but as a methodological clarification of the kind of theory relativity is.

In the essay, Einstein contrasts constructive theories (konstruktive Theorien) with principle theories (Prinziptheorien) [7]. This distinction is not merely classificatory but methodological and epistemological in character [22].

Here is that 1919 Einstein paper:
There are several kinds of theory in physics. Most of them are constructive. These attempt to build a picture of complex phenomena out of some relatively simple proposition. The kinetic theory of gases, for instance, attempts to refer to molecular movement the mechanical thermal, and diffusional properties of gases. When we say that we understand a group of natural phenomena, we mean that we have found a constructive theory which embraces them.

But in addition to this most weighty group of theories, there is another group consisting of what I call theories of principle. These employ the analytic, not the synthetic method. ...

The special relativity theory is therefore the application of the following proposition to any natural process: "Every law of nature which holds good with respect to a coordinate system K must also hold good for any other system K' provided that K and K' are in uniform movement of translation."

The second principle on which the special relativity theory rests is that of the constancy of the velocity of light in a vacuum.

No, relativity was not developed as a principle theory. FitzGerald proposed the relativity length contraction in this 1889 paper:
I have read with much interest Messrs. Michelson and Morley's wonderfully delicate experiment attempting to decide the important question as to how far the ether is carried along by the earth. Their result seems opposed to other experiments showing that the ether in the air can be carried along only to an inappreciable extent. I would suggest that almost the only hypothesis that can reconcile this opposition is that the length of material bodies changes, according as they are moving through the ether or across it, by an amount depending on the square of the ratio of their velocity to that of light. We know that electric forces are affected by the motion of the electrified bodies relative to the ether, and it seems a not improbable supposition that the molecular forces are affected by the motion, and that the size of a body alters consequently.
This appears partly inspired by this 1988 Heaviside paper. That is, solid objects are held together by electromagnetic forces, and those fields were known to be warped by motion. Relativity was the constructive consequence.

The relativity principle that laws holding in K must also hold for K' was essentially what Lorentz proved in 1895.

Einstein seemed to disavow all of this when quantum mechanics was discovered. He was happy to avoid the question of how the FitzGerald contraction works on the molecular level, but refused to accept a quantum theory that did not explain the Heisenberg uncertainty on an atomic level.

It is interesting that in 1919 Einstein was still using 1895 terminology, and not saying that the laws of nature must be in covariant equations, or that the laws must be well-defined on a non-Euclidean manifold.

Weinstein posted some other goofy papers recently, including this on Einstein EPR entanglement, and this comparing Heisenberberg-Schroedinger to the P=NP problem. The Heisenberg and Schroeding theories were mathematically equivalent, but she has a whole paper analogizes them to things that are completely different.

Monday, December 22, 2025

Aaronson's Latest Quantum Computer Assessment

Dr. Quantum Supremacy, aka Scott Aaronson, posts his latest judgment on the feasibility of quantum computers.

In brief, quantum supremacy has not been achieved, but he still has hopes based on theoretical considerations from 30 years ago, and recent progress in quantum gate fidelity.

And he hints that at some point, researchers might hold back on public announcements, just as 1940 research into fission bombs avoided publishing how to build a bomb.

I think that artificial general super intelligence is potentially a lot more dangerous than quantum computers, and so there would be more reason to hold back on that. Maybe OpenAI or Google or Microsoft is holding back, but I doubt it. They are locked in a high-stakes competition.

He makes this ominous comment:

Similarly, at some point, the people doing detailed estimates of how many physical qubits and gates it’ll take to break actually deployed cryptosystems using Shor’s algorithm are going to stop publishing those estimates, if for no other reason than the risk of giving too much information to adversaries. Indeed, for all we know, that point may have been passed already. This is the clearest warning that I can offer in public right now about the urgency of migrating to post-quantum cryptosystems, a process that I’m grateful is already underway.
The US government is migrating to post-quantum cryptosystems, but I don't think those estimates will help any evil-doers. So far, the quantum computers can only factor 15 = 5x3. It will take quantum computers 50 years to crack today's cryptosystems, even if it is possible.

Saturday, December 20, 2025

Veritasium goes Full Retard

This YouTube channel has nearly 20 million subscribers, and a lot of truly excellent videos. But the latest release get physics badly wrong.
The Experiment That Breaks Relativity

Veritasium 19.7M subscribers

Dec 18, 2025
How an argument between Einstein and Bohr changed quantum mechanics forever.

A tipoff is when it says that all the textbooks are wrong:
7:09 - Physicists tell a version of this story, you know that you will find in physics textbooks 7:15 and in pop science books and that you know physicists tell amongst ourselves that 7:20 what happened was Einstein and Bohr had a great debate and Einstein was unhappy with quantum mechanics ...

33:29 - We did do this experiment again, and the number, we got very much agreed with quantum mechanics, 33:41 but this is one of the most misunderstood experiments in all of physics. - You'll find in all sorts of physics textbooks and papers 33:48 and whatnot, that what Bell's theorem proves that it rules out local hidden variables or local realism. ...

35:00 it's a really deep misunderstanding that shows up in almost every single textbook on the subject. - So what does Bell's theorem really prove?

No, the quantum mechanics textbooks are right, and this video is wrong.

Here is the textbook explanation of quantum mechanics.

Position and momentum do not commute, and do not have definite values until observed. There is a Heisenberg uncertainty. If you measure both, your answers will depend on the order of measurement.

This contrasts with classical mechanics, where these variables have values independent of measurement.

Einstein and Bell wondered if maybe quantum mechanics could be reformulated as a classical theory. Bell cleverly formalized classical theories as theories of local hidden variables, and proved a theorem that such theories differ from quantum mechanics. Experiments then confirmed the quantum mechanics that everyone believed since 1930.

That was the end of the matter, for all serious thinkers. But some pursue some loopholes to this argument. Namely nonlocal theories, many-worlds, and superdeterminism.

Where Veratasium goes off the rails to make three fundamental errors.

(1) That simple entanglement examples show that quantum mechanics is nonlocal. The given example is to produce two related particles, such that a conservation law tells you that observing one immediately tells you something about the other.

The same thing happens in classical mechanics. This does not distinguish classical and quantum theories, or local and nonlocal theories.

(2) That "realism" means a classical theory, so if you believe in reality, you have to accept classical mechanics and reject quantum mechanics.

Quantum mechanics is not a classical theory. If you define realism that way, then quantum mechanics does not obey local realism. In particular, position and momentum do not have values until observed.

(3) That many-worlds theory somehow provides a way out of the quantum puzzles of locality and realism.

No, many-worlds theory does not, and cannot, explain anything.

John Bell passed away suddenly at the age of 62. 40:05 He didn't know it, but he had been nominated for the Nobel Prize just a year earlier - In a talk he gave in Geneva in January, 1990. 40:14 He said, I think you're stuck with the non-locality. I don't know any conception of locality, which works 40:22 with quantum mechanics. That was eight months before he died.
Yes, some believed that Bell deserved a Nobel for this, but the mainstream view, and the Nobel view, is that Bell was wrong. The 2022 prize was given for some Bell-related work, but the prize citation pointedly avoided giving Bell any credit for his goofy non-locality ideas.

My title refers to this movie clip.

This video is very disappointing. The channel had been very reliable and informative. I have learned a lot. But when you see a video claiming that all the textbooks and top experts are wrong, you probably should not believe it.

In this case, the video is rejecting mainstream physics that has been well-accepted for a century. And it is for the pursuit of goofy ideas that cannot lead anywhere.

Dr. Bee Revives Nonlocal gravity

Sabine Hossenfelder posts a new video : 0:38 The laws of physics that we have discovered have one thing in common: they are local. T...