Re: [math-fun] math-fun Digest, Vol 125, Issue 41
Warren Smith wrote:
And it does not just increase "on average,"
You're wrong, by the Poincar? Recurrence Theorem.
Sincerely,
Adam P. Goucher
--correct comment... for classical Hamiltonian mechanics (which is what Poincare Recurrence thm is about). But for Von Neumann formulation of quantum mechanics, entropy stays same - except that during measurements it increases. Since quantum is more true theory of nature than classical... it would be you who "are wrong." In my picture of quantum mechanics & decoherence, the graviton sea serves as an infinite "entropy sink" (as Meeker was calling it). It actually is infinite dimensional i.e. infinity degrees of freedom involved. In contrast in classical mech we have fixed finite dimensionality. This distinction seems essential for explaining why it is that my picture can work and "entropy (of the part of the universe we perceive) can keep increasing forever." --- You all really ought to read my paper, I hope this little back & forth has acted as a successful advertisement to inspire that. :)
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Warren D Smith