eigenket

22 ms·

241.
by eigenket 3y ago
> This readme does a really poor job of explaining what the improvement is or how they drop half the multiplications. What is the Big O run time on this? Is this shifting the known best bounds? Without wishing to sound elitist I, I don&#
242.
by eigenket 3y ago
2*pi = 7 is impressive, given that 6 would be closer. Thats dedication to having bad approximations haha.
243.
by eigenket 3y ago
The special issue certainly wasn't a matter of joking around, but it also wasn't a normal issue of the journal. After he submitted it they wrote to him (wikipedia quotes them): "We requested him (a) to excise a good deal of t
244.
by eigenket 3y ago
I would view it more in the lines of this https://www.bmj.com/content/335/7633/1320 It is fairly common for "serious scientific journals" to publish stuff occasionally which is explicitly not part o
245.
by eigenket 3y ago
Its worth mentioning that the journal originally refused to publish the Sokal paper, and eventually put it in a special non-peer reviewed issue they were making called "Science Wars". The aim of the Science wars issue was to have
246.
by eigenket 3y ago
I don't think its premature when we have stuff like the model of Oppenheim et. al. which appears to predict stuff which we can observe from astronomical data. This paper [1] also discusses some experimental tests of their model which a
247.
by eigenket 3y ago
I think there's a bit of language problem here. In the way physicists use the word in 2024, making gravity "quantum" means something very different to just having discrete "quanta" particles. It means a theory with
248.
by eigenket 3y ago
I agree with your point in general, but in this case specifically I strongly disagree. The idea worked out by Oppenheim and his colleagues/students is a fairly concrete theory which aims to marry quantum mechanics and general relativit
249.
by eigenket 3y ago
The previous state of the art was 2.371866, this improvement brings it down by 0.000314. If you're moving increments that small 2 looks quite far away.
250.
by eigenket 3y ago
> One typically uses the Schrodinger equation to do so In my opinion knowing how to use the Schrodinger equation to get the "spectrum of the hydrogen atom" is essentially a matter of historical interest but really not relevant
251.
by eigenket 3y ago
Ah, I see. You've changed from talking about concepts and conceptual understanding to talking about computations. I completely agree with you that from the perspective of a quantum information theorist computing the spectrum of the hyd
252.
by eigenket 3y ago
I think maybe we have some difference in how we're talking about things. Concepts like the spectrum of the hydrogen atom or interference phenomena aren't particularly difficult to understand conceptually: the Hamiltonian has some
253.
by eigenket 3y ago
I think this is a very common view, and a somewhat mistaken one. Quantum mechanics is used in very different ways by people in quantum information, condensed matter, many body physics, quantum field theory, nuclear physics and may other (su
254.
by eigenket 3y ago
This page has lecture notes by Aaronson on exactly that topic https://www.scottaaronson.com/democritus/lec9.html
255.
by eigenket 3y ago
You can probably write down a differential equation which models them but I doubt such a thing would be particularly interesting.
256.
by eigenket 3y ago
This comment by Matt Kelly seems to be the most pertinent > Regarding the similarity to a double slit interference pattern, what I found in my investigation (see my previous comment) is it was solely the result of the sorting algorithm u
257.
by eigenket 3y ago
It was formulated at least twice in different versions. First by Heisenberg with his matrix mechanics and shortly afterwards by Schrödinger in terms of wave-functions. There was considerable disagreement between the factions of physicists w
258.
by eigenket 3y ago
Saying they had access to steam turbines is wildly overstating the case. They had toys that span round and round, but nothing that could produce useful horsepower. You need metallurgy considerably more advanced than the Romans had in order
259.
by eigenket 3y ago
Singapore Airlines (who I flew with) wasn't barred from Russian airspace but they have decided to voluntarily avoid it.
260.
by eigenket 3y ago
Plenty of that isn't advisable now. I flew Frankfurt to Singapore at the end of 2022 and we flew over the south side of the Black Sea to avoid Ukrainian and Russian airspace. We also avoided Afghanistan and flew over Iran instead which
261.
by eigenket 3y ago
This result only applies to circular disks, spherical balls and their generalisations in higher dimensions. Previously it was known for shapes which tile the plane or tessellate the space in higher dimensions.
262.
by eigenket 3y ago
That would be a fair response if it wasn't for the fact that bingchat/copilot did respond exactly as the NYT claims that chatgpt did. It looks a lot like openai managed to change the behavior of chatgpt before ars tried it but cop
263.
by eigenket 3y ago
What OpenAI claimes here does not seem to be true. Here is an article where ars technica tried it https://arstechnica.com/tech-policy/2023/12/ny-times-sues-op... And this is a screenshot of their session with
264.
by eigenket 3y ago
What OpenAI claimes here does not seem to be true. Here is an article where ars technica tried it https://arstechnica.com/tech-policy/2023/12/ny-times-sues-op... And this is a screenshot of their session with
265.
by eigenket 3y ago
Sure, but that isn't what they're doing on that webpage. They're just directly applying linear maps to shapes in R^2. You can represent a wild variety of things by linear maps on suitably enlarged spaces.
266.
by eigenket 3y ago
I feel like matrix multiplication/linear maps are kinda the "wrong" things to be considering when you're talking about applying them to lines or shapes in euclidean space. For example there is no linear map which maps a
267.
by eigenket 3y ago
As far as I know we don't have much real understanding of how human or even animal intelligence works. It may be that it is entirely based on "sophisticated, complex latent space" navigation or it may be that it has nothing w
268.
by eigenket 3y ago
The rest of your comment doesn't really seem specific to geometric algebra. You're just interpreting matrix multiplication as composition of linear maps, which is indeed a very useful and sometimes intuitive perspective.
269.
by eigenket 3y ago
That emphatically does not make him an expert in physics today. A PhD means he was an expert is some narrow niche of physics four decades ago.
270.
by eigenket 3y ago
"one of the most heinous acts of this century" was blowing up a gas pipeline that was delivering very little gas because of "extended maintenance" on the Russian side? The company operating NordStream 2 went bankrupt 6 m

More ›