2012/08/29 by Liu Zhao, Wei Xu, Zhao, Liu +3 · 1 citation
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Quantum Mechanics and Applications #gr-qc #hep-th
paper · pdf · doi:10.48550/arxiv.1208.5974
10 pages, 1 figure. V2: minor corrections
openalex publication_date 2012/08/29 · arxiv created 2012/08/31 · arxiv updated 2012/09/03 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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 ΛCDM model of FRW cosmology is reformulated as the time translation symmetry breaking ground states.