101–106 of 106 posts
Can someone explain what's groundbreaking about this? Maybe it's not done so very rigorously, but pretty much every plasma physics textbook will contain a derivation of Boltzmann equation, including some form of collisional operator, starting from Liouville's theorem[1] and then derive a system of fluid equations [2] by computing the moments of Boltzmann equation. [1]: https://en.wikipedia.org/wiki/Liouville%27s_theo…
Earlier quoted context omitted.
The reason it's inevitable is because because it follows from physics principles. The Bekenstein Bound proves that all physical systems of finite volume contain finite information, humans are a finite volume, ergo a human contains finite information. Finite information can be fully captured by a finite computer, ergo computers can in principle perfectly simulate a human person. This + continued technological developm…
Although the reasoning is clear, you (and her) jump from "possible in principle" to "inevitable in practice". Just because something is physically possible doesn't make it "inevitable". That's why it's just a fantasy at this point.
> This + continued technological development entails that AGI is inevitable.
Everyone takes the above as a given in any discussion of future projections.
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I don't think this cursory look at the abstracts and first pages of these papers is achieving the effect you intended. The first quote summarize the findings (page 4) of Tversky & Shafir, 1992. Google indicates this paper has 978 citations. >is STONE LION a STONE This is called a typicality test. Jurafsky, Lecun & two more fellows dropped this paper recently: https://arxiv.org/pdf/2505.17117 (emphasis mine) >This wor…
> I don't think this cursory look at the abstracts and first pages of these papers is achieving the effect you intended. The only effect intended was my own amusement. I doubted anyone would ever read the comment. > Jurafsky, Lecun & two more fellows dropped this paper recently Somehow they missed that quantum field theory formalism is essential to explain such things.
Yet to reach this conclusion you have to notice they stand on the same ground (typicality tests). I'd wagger that they could substitue it with question ordering effects and reach similar conclusions.
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It comes about when the deterministic collision process is integrated over all the indistinguishable initial states that could lead into an equivalence class of indistinguishable final states. If you set the collision probability to zero it's time reversible even with molecular chaos, and if the particles are highly correlated (like in a polymer) there can still arise an arrow of time when the integral is performed.
Interesting, so if I understand right you are saying that coarse-graining your states can produce an arrow of time on its own? Given some fixed coarse-graining, I can see that entropy would initially increase, since your coarse-graining hides information from you. The longer you evolve the system under this coarse graining the less certain you will be about the micro-states. But I would expect this to eventually reac…
Chaos isn't even necessary, it just gets you there faster.
The collisionless case is that way for boring reasons: the map aligns with the coarse graining.
Earlier quoted context omitted.
Interesting, so if I understand right you are saying that coarse-graining your states can produce an arrow of time on its own? Given some fixed coarse-graining, I can see that entropy would initially increase, since your coarse-graining hides information from you. The longer you evolve the system under this coarse graining the less certain you will be about the micro-states. But I would expect this to eventually reac…
Yes, almost any coarse graining can lead to an arrow of time unless the map that represents a step forward in time aligns with the coarse graining perfectly. Also, yes, there are often equilibria, but that's the heat death of the universe, and admittedly time is hard to define even macroscopically if everything is at the same temperature. Chaos isn't even necessary, it just gets you there faster. The collisionless ca…