![]() ![]() As ‘entropy of matter’, the Boltzmann entropy for a (semi-)classical macrostate, and Boltzmann’s ergodic ensemble formulation of it for an isolated thermal equilibrium state, are studied. Penrose, ‘the world’ is modelled by a closed Friedman-Lemaître type universe, in which a threedimensional spherical ‘space’ is filled with ‘matter’ consisting of N point particles, their large-scale distribution being influenced by their own gravity. N2 - This contribution inquires into Clausius’ proposal that “the entropy of the world tends to a maximum.” The question is raised whether the entropy of ‘the world’ actually does have a maximum and if the answer is “Yes!, " what such states of maximum entropy look like, and if the answer is “No!, " what this could entail for the fate of the universe. © 2020 by World Scientific Publishing Co. T1 - The influence of gravity on the boltzmann entropy of a closed universe In particular, it is shown that the increase in Bekenstein-Hawking entropy of general-relativistic black holes does not always compensate for the Boltzmann entropy of a piece of matter swallowed by a black hole.", It is found that the answer to our maximum entropy question is not at all straightforward at the general-relativistic level. In particular, it is shown that the increase in Bekenstein-Hawking entropy of general-relativistic black holes does not always compensate for the Boltzmann entropy of a piece of matter swallowed by a black hole.Ībstract = "This contribution inquires into Clausiust will be encountered. Model universes having a maximum entropy state and those which don’t will be encountered. Since the notion of a Boltzmann entropy is not restricted to classical non-relativistic physics, the inquiry will take into account quantum theory as well as relativity theory we also consider black hole entropy. This contribution inquires into Clausius’ proposal that “the entropy of the world tends to a maximum.” The question is raised whether the entropy of ‘the world’ actually does have a maximum and if the answer is “Yes!, " what such states of maximum entropy look like, and if the answer is “No!, " what this could entail for the fate of the universe. ![]()
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |