Loschmidt's paradox, entropy and the topology of spacetime

2009/07/17 by Moninder Singh Modgil, Modgil, Moninder Singh
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #gr-qc

paper · pdf · doi:10.48550/arxiv.0907.3165

8 pages, v2: 2 references added, typos corrected, minor content change

arxiv created 2009/08/10 · arxiv updated 2009/12/01

Abstract

The issue of the "eternal return" is examined from the perspective of the topology of spacetime. Constraints on dynamical laws for the periodic evolution of a system or universe are highlighted. Using a Fourier series expansion, an infinite set of simultaneous linear equations is formulated for the periodic evolution of a system/universe.

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