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arxiv: 0907.3165 · v2 · submitted 2009-07-17 · 🌀 gr-qc

Loschmidt's paradox, entropy and the topology of spacetime

classification 🌀 gr-qc
keywords evolutionperiodicspacetimesystemtopologyuniverseconstraintsdynamical
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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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