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Comment by dotancohen | Hacker News Reader

Relativity comes to mind.

You could nitpick a rebuttal, but no matter how many people you give credit, general relativity was a completely novel idea when it was proposed. I'd argue for special relatively as well.

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I am not a scientific historian, or even a physicist, but IMO relativity has a weak case for being a completely novel discovery. Critique of absolute time and space of Newtonian physics was already well underway, and much of the methodology for exploring this relativity (by way of gyroscopes, inertial reference frames, and synchronized mechanical clocks) were already in parlance. Many of the phenomena that relativity would later explain under a consistent framework already had independent quasi-explanations hinting at the more universal theory. Poincare probably came the closest to unifying everything before Einstein:

> In 1902, Henri Poincaré published a collection of essays titled Science and Hypothesis, which included: detailed philosophical discussions on the relativity of space and time; the conventionality of distant simultaneity; the conjecture that a violation of the relativity principle can never be detected; the possible non-existence of the aether, together with some arguments supporting the aether; and many remarks on non-Euclidean vs. Euclidean geometry.

https://en.wikipedia.org/wiki/History_of_special_relativity

Now, if I had to pick a major idea that seemed to drop fully-formed from the mind of a genius with little precedent to have guided him, I might personally point to Galois theory (https://en.wikipedia.org/wiki/Galois_theory). (Ironically, though, I'm not as familiar with the mathematical history of that time and I may be totally wrong!)

From that article:

> The quintic was almost proven to have no general solutions by radicals by Paolo Ruffini in 1799, whose key insight was to use permutation groups, not just a single permutation.

Thing is, I am usually the kind of person who defends the idea of a lone genius. But I also believe there is a continuous spectrum, no gaps, from the village idiot to Einstein and beyond.

Let me introduce, just for fun, not for the sake of any argument, another idea from math which I think it came really out of the blue, to the degree that it's still considered an open problem to write an exposition about it, since you cannot smoothly link it to anything else: forcing.

Right on with special relativity—Lorentz also was developing the theory and was a bit sour that Einstein got so much credit. Einstein basically said “what if special relativity were true for all of physics”, not just electromagnetism, and out dropped e=mc^2. It was a bold step but not unexplainable.

As for general relativity, he spent several years working to learn differential geometry (which was well developed mathematics at the time, but looked like abstract nonsense to most physicists). I’m not sure how he was turned on to this theory being applicable to gravity, but my guess is that it was motivated by some symmetry ideas. (It always come down to symmetry.)

If people want to study this, perhaps it makes more sense to do like we used to: don't include the "labels" of relativity into the training set and see if it comes up with it.

  > Critique of absolute time and space of Newtonian physics was already well underway

This only means Einstein was not alone, it does not mean the results were in distribution.

  > Many of the phenomena that relativity would later explain under a consistent framework already had independent quasi-explanations hinting at the more universal theory.

And this comes about because people are looking at edge cases and trying to solve things. Sometimes people come up with wild and crazy solutions. Sometimes those solutions look obvious after they're known (though not prior to being known, otherwise it would have already been known...) and others don't.

Your argument really makes the claim that since there are others pursuing similar directions that this means it is in distribution. I'll use a classic statistics style framing. Suppose we have a bag with n red balls and p blue balls. Someone walks over and says "look, I have a green ball" and someone else walks over and says "I have a purple one" and someone else comes over and says "I have a pink one!". None of those balls were from the bag we have. There are still n+p balls in our bag, they are still all red or blue despite there being n+p+3 balls that we know of.

  > I am not a [...] physicist

I think this is probably why you don't have the resolution to see the distinctions. Without a formal study of physics it is really hard to differentiate these kinds of propositions. It can be very hard even with that education. So be careful to not overly abstract and simplify concepts. It'll only deprive you of a lot of beauty and innovation.

To be clear, I don't think coming up with relativity was "in distribution" based on the results of the time. I would be exceedingly surprised if an LLM trained on all of the physics up until that point and nothing else would come up with the framework that Einstein did, from such elegant first principles at that. Without handholding from a prompter, I expect an LLM (or non-critical human thinker) would only parrot the general consensus of confusion and non-uniformity that predominated in that era.

I only believe that (1) if it hadn't been Einstein, it would very soon have been someone else using very similar concepts and evidence, (2) "completely novel idea" is a stricter criterion than "not in distribution," and (3) better examples of completely novel ideas from history exist as a benchmark for this sort of things.

> Without a formal study of physics it is really hard to differentiate these kinds of propositions. It can be very hard even with that education. So be careful to not overly abstract and simplify concepts. It'll only deprive you of a lot of beauty and innovation.

I agree, but with the caveat that I think ancestor worship is also an impediment to understanding our intellectual and cultural heritage. Either all of human creativity deserves to be treated sacredly, or none of it does.

  > To be clear, I don't think coming up with relativity was "in distribution" based on the results of the time.

This is difficult to infer from the context of the conversation.

  > only believe that (1) if it hadn't been Einstein, it would very soon have been someone else

I also agree, but am unsure of your point.

  > (2) "completely novel idea" is a stricter criterion than "not in distribution,"

Sorry, I used a looser word. If you have a strong definition of what "in distribution" means I'll be happy to adapt.

  > (3) better examples of completely novel ideas from history exist

Sure. Maybe? I can't judge. I think determining how novel something is really requires domain expertise. I only have an undergraduate degree in physics so I am not really qualified on determining the novelty of relativity, but it appears fairly novel to me fwiw. (And I am an enjoyer of scientific history. I'd really recommend Cropper's The Quantum Physicists: And an Introduction to Their Physics as it teaches QM in a more historical progression. I'd also recommend the An Opinionated History of Mathematics podcast which goes through a lot of interesting stuff, including Galileo)

  > I think ancestor worship is also an impediment to understanding our intellectual and cultural heritage

I'm in full agreement here (I have past comments on HN to support this too tbh. Probably best to search for things related to Schmidhuber since that's when ancestor worship frequently happens in those topics). It's good to recognize people, but we over emphasize some and entirely forget most. I don't think this is malicious but more logistical. Even Cropper's work misses many people but I think it is still a good balance considering the audience.

I think the best way to avoid the problem is to remember "my understanding is limited" and always will be. At least until we somehow become omniscient, but I'm not counting on that ever happening.

In my view, another example would be Gautama Buddha, with Dependent Origination. It’s basically a super early realisation of Process Philosophy.

https://en.wikipedia.org/wiki/Prat%C4%ABtyasamutp%C4%81da https://iep.utm.edu/processp/

Edit: but even it likely relied on his prior experience with nondualistic Hinduisms, of course.

Newton himself wrote that we usually deal with relative space and time, but we can imagine absolute time and space.

Yes, the principle of relativity was known to Newton, but the other idea, that the speed of light is the same in all reference frames, was new, counterintuitive, and what makes special relativity the way it is.

At least Einstein didn't just suddenly turn around and say:

```ai-slop

But wait, this equation is too simple, I need to add more terms or it won't model the universe. Let me think about this again. I have 5 equations and I combined them and derived e=mc^2 but this is too simple. The universe is more complicated. Let's try a different derivation. I'll delete the wrong outputs first and then start from the input equations.

Let me think. I need to re-read the original equations and derive a more complex formula that describes the universe.

<Re-reads equation files>

Great, now I have the complete picture of what I need to do. Let me plan my approach. I'm ready. I have a detailed plan. Let me check some things first.

I need to read some extra files to understand what the variables are.

Perfect. Now I understand the problem fully, let me revise my plan.

Okay I have written the plan. Do you accept?

<Yes>

Let's go. I'll start by creating a To Do list:

- [ ] Derive new equation from first principles making sure it's complex enough to describe reality.

- [ ] Go for lunch. When the server offers tuna, reject it because the notes say I don't like fish.

```

(You know what's really sad? I wrote that slop without using AI and without referring to anything...)

That's some pretty good verbatim Claude Opus 4.6 if I'd say so myself

You need to differentiate between special and general relativity when making these statements.

It is absolutely true that someone else would have come up with special relativity very soon after Einstein. All that would be necessary is someone else to have the wherewithal to say "perhaps the aether does not need to exist" for the equations already known at the time by others before Einstein to lead to the general theory.

General relativity is different. Witten contends that it is entirely possible that without Einstein, we may have had to wait for the early string theorists of the 1960s to discover GR as a classical limit of the first string theories in their quest to understand the strong nuclear force.

As opposed to SR, GR is one of the most singular innovative intellectual achievements in human history. It's definitely "out of distribution" in some sense.

Agreed.

General relativity was a completely novel idea. Einstein took a purely mathematical object (now known as the Einstein tensor), and realized that since its coveriant derivative was zero, it could be equated (apart fron a constant factor) to a conserved physical object, the energy momentum tensor (except for a constant factor). It didn't just fall out of Riemannian geometry and what was known about physics at the time.

Special relativity was the work of several scientists as well as Einstein, but it was also a completely novel idea - just not the idea of one person working alone.

I don't know why anyone disputes that people can sometimes come up with completely novel ideas out of the blue. This is how science moves forward. It's very easy to look back on a breakthrough and think it looks obvious (because you know the trick that was used), but it's important to remember that the discoverer didn't have the benefit of hindsight that you have.

Even if I grant you that, surely we’ve moved the goal posts a bit if we’re saying the only thing we can think of that AI can’t do is the life’s work of a man who’s last name is literally synonymous with genius.

That's not exactly true. Lorentz contraction is a clear antecedent to special relativity.

It isn't an anteceent, it's part of special relativity, discovered by Lorentz. It's well known that special relativity is the work of several people as well as Einstein.

Not really. Pretty sure I read recently that Newton appreciated that his theory was non-local and didn't like what Einstein later called "spooky action at a distance". The Lorentz transform was also known from 1887. Time dilation was understood from 1900. Poincaré figured out in 1905 that it was a mathematical group. Einstein put a bow on it all by figuring out that you could derive it from the principle of relativity and keeping the speed of light constant in all inertial reference frames.

I'm not sure about GR, but I know that it is built on the foundations of differential geometry, which Einstein definitely didn't invent (I think that's the source of his "I assure you whatever your difficulties in mathematics are, that mine are much greater" quote because he was struggling to understand Hilbert's math).

And really Cauchy, Hilbert, and those kinds of mathematicians I'd put above Einstein in building entirely new worlds of mathematics...

Agree with you everywhere. Although I prefer the quote:

"Since the mathematicians have invaded the theory of relativity, I do not understand it myself anymore."

Are you saying Newton was aware of quantum entanglement? Because that's what the "spooky action at a distance" quote refers to.

Newton wrote, "That one body may act upon another at a distance through a vacuum without the mediation of anything else, by and through which their action and force may be conveyed from one another, is to me so great an absurdity that, I believe, no man who has in philosophic matters a competent faculty of thinking could ever fall into it."

Source: https://www.newtonproject.ox.ac.uk/view/texts/normalized/THE...

This quote itself must be taken in the context of Newton's own aspirations. Newton was specifically searching for force capable of moving distant objects when he realised the essence of gravity. No apple really fell on his head - that story was likely invented by those who could not stand Newton (he was famously brash) and meant simply that his personality was a result of getting hit on the head.

And Newton was famously interested in dark religous interference in worldly affairs - what today we would call The Occult. When he did finally succeed in finding his force for moving objects at a distance, without need for an intervening body, he gave credit to these supernatural entities - at least that is how this quote was taken in his day. This religious context is not well known today, nor is Newton's difficult character, so today it is easy to take the quote out of context. Newton was (likely) not disputing the validity of his discovery, rather, he was invoking one of his passions (The Occult) in the affairs of one of his successful passions (finding a force to move distant objects).

It should be noted that some of Newton's successful religious work is rarely attributed to him. For a prominent example, it was Newton that calculated Jesus's birth to be 4 BC, not 1 AD as was the intention of the new calendar.

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