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By: Aaron Bergman

What is your definition of a macrostate outside of thermodynamic equilibrium?

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By: Sean

An equivalence class of microstates under some coarse-graining. Again, in practice, it might be convenient to define your coarse-graining by reference to macroscopic observables that are not defined...

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By: Neil B

Fubaris you get the issue of what goes wrong in the “time” reversed world. I suppose you are also right about experiencing such a world, since the processes are relative to the beings there and they...

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By: David

Maybe I’m stupid but i don’t understand why entropy increases or decreases when the total content of the universe does not change. Why are Ice-cubes more ordered than water. The total energy and...

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By: wolfgang

>> But, I would argue (and I’m happy to hear other points of view, as the matters are by no means settled), entropy is not one of them. And I would agree with you. Temperature (mean kinetic...

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By: Sean

wolfgang– I don’t want to gloss over that at all; calculating the entropy of a system in which gravity is important is something we don’t know how to do, and that’s a problem. However, we have fairly...

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By: Aaron Bergman

Temperature (mean kinetic energy) may not be well defined for a system out of equilibrium, but entropy certainly is. If entropy would only be defined for a system in equilibrium, we would not need the...

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By: wolfgang

> it’s only defined for equilibrium states. So you are saying that e.g. entropy is not defined for a black hole, because a black hole (radiating into the universe) is not in equilibrium ?

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By: links for 2009-01-03 < kulturbrille:amanuensis

[...] Richard Feynman on Boltzmann Brains | Cosmic Variance | Discover Magazine This one-wayness is interrelated with the fact that the ratchet [a model irreversible system discussed earlier in the...

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By: What is The Universe | DesiPundit

[...] was reading a fascinating discussion at Cosmic Variance on Boltzmann Brain Paradox and what Feynman made of it. The paradox raises questions about the state of the Universe, why is the beginning...

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By: Low Math, Meekly Interacting

Greg, thank you very much for your clear reply to my question, it was very helpful. I hadn’t considered the possibility that one could use the paradox, perhaps by itself, to argue the universe must...

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By: tomate :: Gravitation and thermodynamics :: January :: 2008

[...] some discussion over the web (here, here, here and here) about thermodynamics and gravitation, a discussion that comes out pretty regularly. [...]

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By: tomate :: Gravitation and thermodynamics :: January :: 2009

[...] some discussion over the web (here, here, here and here) about thermodynamics and gravitation, a discussion that comes out regularly. I [...]

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By: what age did you stop beleaving in the religion you where raised with? -...

[...] Originally Posted by Sparrow I can pinpoint the exact moment I lost my religion. Our very own Scotticus hit me up with a fact: Life is a state of disequilibrium. Everything clicked and I lost my...

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By: what age did you stop beleaving in the religion you where raised with? -...

[...] Life is a state of disequilibrium. Everything clicked and I lost my soul. Thanks, Dr. Scotty! Richard Feynman on Boltzmann Brains | Cosmic Variance | Discover Magazine I <3 [...]

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By: Sean Peters

You can get a universe like ours that way, but you’re overwhelmingly more likely to get just a single galaxy, or a single planet, or even just a single brain — so the statistical-fluctuation idea seems...

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By: Leonardo

The low degree of entropy is not a consequence of the Boltzmann hypothesis (we are in a low entropy region), but a consequence of the nature of entropy itself. Entropy also generates order. Out of...

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By: Fritz Lorenz Doerring

Decay is obvious and visible, and experiential. Multiverse is not in our present sphere of experience. Might it ever become so? Wait: Be patient! It may be a long time. Fritz

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By: Carl Lumma

The Boltzmann brain paradox assumes a fixed (and rather naive) prior: that all regions of spacetime are independent. Bayesians would like us to consider the weighted probability over all priors. That’s...

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By: Moninder Singh Modgil

There is a simple vacuum solution of Einstein’s field equations, obtained from Minkowski universe by the replacement- t -> sin t Geodesics in this universe (which I refer to as the “Periodic...

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