Entropy of the universe12/28/2023 ![]() When I’m in a dream I can believe I remember a past that never really existed. ![]() We might as well assume that we are not Boltzmann’s brains, just as we might as well assume that we are not brains in vats,īut our incentive to assume we are not seems like a Pascal’s wager argument. How do we know we are not Boltzmann’s brains that just think we’re part of a bigger fluctuation with a lower entropy past? Or is it information that’s interpreted differently? Which seems to say it’s not the Gibbs or Shannon entropy that’s meant in QM. Information is conserved in QM, but entropy is not, Or maybe there’s something that makes momentum fundamentally less useful than energy for the purpose of counting macro states?ĭEntropy/dCharge? dEntropy/dBaryon? That seems strange to me,īut maybe there could be something in there related to osmosis. I don’t recall ever hearing anyone speak of dEntropy/dMomentumīut maybe it appears somewhere in work on fluid dynamic dissipation. Lead to other notions analogous to temperature for those quantities. That makes me wonder if using other conserved quantities for our macroscopic observable might (So a monotonicity is a consequence of a conservation/symmetry and a boundary condition) To a system with high (dEntropy/dEnergy)^-1, the number of possible micro states increases. Which has the natural consequence that when energy flows from a system with high (dEntropy/dEnergy)^-1 It seems like an obvious objective macroscopic observable of system would be its energy. Regarding the ideas in this particular video, To find where I could have gotten that impression.) (I think I had the impression that the textbook would be more narrowly focused on quantum mechanics,īut since these videos are not (yet?) a textbook, they don’t have an index with with I might try If it will be structured along the lines of these videos? You’ve also mentioned that you were writing a textbook, so I’m wondering In the case that protons do not decay and black holes do not evaporate, the Second Law also cannot be proved to be correct in the universe.You remarked a few times in these videos that they are not “lectures”īut it seems to me that they would make a good basis for a nice textbook. The validity of the assertion of Clausius, "The entropy of the universe tends to a maximum", and the validity of the Second Law of Thermodynamics in the universe have not yet been established at present (2018) they depend on the observations of proton decay and evaporation of black holes, and these observations are left for future studies. Entropy in the universe has increased from the Big Bang to the present time and the "Maximum Physical Entropy Principle" holds when proton decay and black hole evaporation are observed, but these have not yet been observed. Thus, entropy principle for the time course of biological evolution has been completely established: the "Biological Thermodynamics" is completed as shown in this article. The life span of individual organisms, succession-development of ecological systems, and biological evolution have been shown to be expressed by the "Max-Min Entropy Production Principle (MMEP)": entropy production increases with time in the early stage (birth-growth), and decreases with time in the later stage (senescence-death). Since the time of Boltzmann about 130 years ago, relationships between entropy and life have been debated.
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