A Finslerian version of 't Hooft Deterministic Quantum Models

Details A Finslerian version of 't Hooft Deterministic Quantum Models A Finslerian version of 't Hooft Deterministic Quantum Models

2005-01-05

arxiv.org/abs/math-ph/0501010v5

J.Math.Phys. 47 (2006) 072101

Physics

Mathematical Physics

25 pages; no figures. String discussion deleted. Some minor changes

Scientific paper

Using the Finsler structure living in the phase space associated to the tangent bundle of the configuration manifold, deterministic models at the Planck scale are obtained. The Hamiltonian function are constructed directly from the geometric data and some assumptions concerning time inversion symmetry. The existence of a maximal acceleration and speed is proved for Finslerian deterministic models. We investigate the spontaneous symmetry breaking of the orthogonal symmetry SO(6N) of the Hamiltonian of a deterministic system. This symmetry break implies the non-validity of the argument used to obtain Bell's inequalities for spin states. It is introduced and motivated in the context of Randers spaces an example of simple 't Hooft model with interactions.

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