Every classical Newtonian mechanical system can be equipped with a nonstandard Hamiltonian structure, in which the Hamiltonian is the square of the canonical Hamiltonian up to a constant shift, and the Poisson bracket is nonlinear. In such a formalism, time translation symmetry can be spontaneously broken, provided the potential function becomes negative. A nice analogy between time translation symmetry breaking and the Landau theory of second order phase transitions is established, together with several example cases illustrating time translation breaking ground states. In particular, the $Lambda$CDM model of FRW cosmology is reformulated as the time translation symmetry breaking ground states.
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关键词: gr-qc; hep-th
文献种类:手稿
期卷页: 2012年
日期: 2012-8-31
发布方式: arXiv e-prints
备注:arXiv:1208.5974v2; 10 pages, 1 figure. V2: minor corrections
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