Loschmidt's Paradox, Entropy and the Topology of Spacetime
نویسنده
چکیده
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. In a periodic universe with period T , using a Fourier series expansion for any physical variable A(t) and its time derivatives A(t), an infinite set of simultaneous linear equations is formulated. PACS: 05.70.-a, 05.90.+m, 04.20.Jb, 04.20.Gz
منابع مشابه
ar X iv : 0 90 7 . 31 65 v 1 [ gr - q c ] 1 7 Ju l 2 00 9 Loschmidt ’ s paradox , entropy and the topology of spacetime
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. PACS: 05.70.-a, 05.90.+m, 04.20.Jb, 04.20.Gz
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