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Emergent discrete time and quantization: relativistic particle with extradimensions

H. -T. Elze
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Abstract

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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H. -T. Elze. 2003-03-12. Emergent discrete time and quantization: relativistic particle with extradimensions. https://doi.org/10.1016/s0375-9601(03)00340-2

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