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Emergent discrete time and quantization: relativistic particle with extradimensions

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.

preprint2003arXivOpen access
H. -T. Elze
gr-qchep-thquant-ph
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Open access1 author3 topics
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H. -T. Elze

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