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Hilbert's sixth problem: derivation of fluid equations via Boltzmann's theory

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41–50 of 106 posts

Re: Hilbert's sixth problem: derivation of fluid equations via Boltzmann's theory

#41

Earlier quoted context omitted.

You think she looks reasonable when she says "most research in the foundations of physics isn't based on sound scientific principles" with absolutely 0 meta-analyses presented as evidence? This is an extraordinary claim to make. It requires extraordinary evidence.

Missed that one. Timestamp?

8m12s

Re: Hilbert's sixth problem: derivation of fluid equations via Boltzmann's theory

#42
post #27
post #25

Earlier quoted context omitted.

To me, it looks like AI because it doesn't really answer the question but instead answers something adjacent, which is common in AI responses. Giving a short summary of Hilbert's biography & his problem list, does not explain why this particular work is interesting, except in the most superficial sense that its a famous problem.

Your second paragraph is a much more thoughtful critique, and posting that below the original answer would focus the subsequent conversation on those points. The issue here isn't whether the comment was AI-generated; it's how we carry the conversation forward even if we suspect that it is. (For the record, if I had attempted to answer the earlier question, I probably would have laid out a similar narrative. The asker…

To be clear, im not the person who made the original ai accusation. I agree that just yelling its AI, and running away is super rude and not very constructive.

Re: Hilbert's sixth problem: derivation of fluid equations via Boltzmann's theory

#43
post #22

Earlier quoted context omitted.

> Professor Dave's videos on how Sabine Hossenfelder is actively contributing to an atmosphere of anti-intellectualism I feel like the core of intellectualism is accepting criticism, including criticism you disagree with. I find some of Sabine's videos to be a bit click-baity, but they are usually logically coherent, even the ones that aren't convincing. She's not just a crazy person yelling at the sky. Science is no…

It's ok to have opinions. It's ok to have criticisms. Claiming that the whole of academia is failing is not a measured criticism. Claiming that the whole of physics academia is failing is not a measured criticism. Claiming that "all of science is bullshit" (which she does, in those exact words) is not a measured criticism.

I haven't read everything Sabine has ever wrote, but "all of science is bullshit" seems much stronger than anything i've seen her say. Where is the original context she said that?

Re: Hilbert's sixth problem: derivation of fluid equations via Boltzmann's theory

#44

Earlier quoted context omitted.

may you please elaborate on why it is important, why hasn't been solved before and what new applications may you imagine with it, please?

David Hilbert was one of the greatest mathematicians of all time. Many of the leaders of the Manhattan Project learned the mathematics of physics from him. But he was famous long before then. In 1900 he gave an invited lecture where he listed several outstanding problems in mathematics the solution of any one of which would change not only the career of the person who solved the problem, but possibly life on Earth. M…

This kind of misses the point. The problem isn't interesting because its on hilbert's list; its on hilbert's list because it is interesting.

This is not my field, but i also don't think this would help with computational resources needed for high resolution modelling as you are implying. At least not by itself.

Re: Hilbert's sixth problem: derivation of fluid equations via Boltzmann's theory

#46

[flagged]

Please don't do this here. If a comment seems unfit for HN, please flag it and email us at hn@ycombinator.com so we can have a look.

We detached this comment from https://news.ycombinator.com/item?id=44439647 and marked it off topic.

Re: Hilbert's sixth problem: derivation of fluid equations via Boltzmann's theory

#47

So where and how does a jump from nice symmetric reversible equations to turbulent irreversibility happen?

Even three bodies under newtonian gravity can lead to chaotic behavior.

The neat part (assuming that the result is valid) is that precisely the equations of fluid dynamics result from their billiard ball models in the limit of many balls and frequent collisions.

Re: Hilbert's sixth problem: derivation of fluid equations via Boltzmann's theory

#48

Earlier quoted context omitted.

may you please elaborate on why it is important, why hasn't been solved before and what new applications may you imagine with it, please?

David Hilbert was one of the greatest mathematicians of all time. Many of the leaders of the Manhattan Project learned the mathematics of physics from him. But he was famous long before then. In 1900 he gave an invited lecture where he listed several outstanding problems in mathematics the solution of any one of which would change not only the career of the person who solved the problem, but possibly life on Earth. M…

[flagged]

Re: Hilbert's sixth problem: derivation of fluid equations via Boltzmann's theory

#49

So where and how does a jump from nice symmetric reversible equations to turbulent irreversibility happen?

Even three bodies under newtonian gravity can lead to chaotic behavior. The neat part (assuming that the result is valid) is that precisely the equations of fluid dynamics result from their billiard ball models in the limit of many balls and frequent collisions.

But even millions of bodies under Newtonian gravity lead to reversible behaviour unlike Navier-Stokes.

Re: Hilbert's sixth problem: derivation of fluid equations via Boltzmann's theory

#50

Earlier quoted context omitted.

David Hilbert was one of the greatest mathematicians of all time. Many of the leaders of the Manhattan Project learned the mathematics of physics from him. But he was famous long before then. In 1900 he gave an invited lecture where he listed several outstanding problems in mathematics the solution of any one of which would change not only the career of the person who solved the problem, but possibly life on Earth. M…

[flagged]

yes, and advertising the new f1 movie.
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