Emergent discrete time and quantization: relativistic particle with extradimensions

Details Emergent discrete time and quantization: relativistic particle with extradimensions Emergent discrete time and quantization: relativistic particle with extradimensions

2003-01-27

arxiv.org/abs/gr-qc/0301109v3

Phys.Lett.A310:110-118,2003

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, 6 figures; replaced with embedded figures and fixed layout

Scientific paper

10.1016/S0375-9601(03)00340-2

We study the reparametrization invariant system of a classical relativistic particle moving in (5+1) dimensions, of which two internal ones are compactified to form a torus. A discrete physical time is constructed based on a quasi-local invariant observable. Due to ergodicity, it is simply related to the proper time on average. The external motion in Minkowski space can then be described as a unitary quantum mechanical evolution.

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