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Quantum features in statistical observations of "timeless" classical systems

Hans-Thomas Elze
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Abstract

We pursue the view that quantum theory may be an emergent structure related to large space-time scales. In particular, we consider classical Hamiltonian systems in which the intrinsic proper time evolution parameter is related through a probability distribution to the discrete physical time. This is motivated by studies of ``timeless'' reparametrization invariant models, where discrete physical time has recently been constructed based on coarse-graining local observables. Describing such deterministic classical systems with the help of path-integrals, primordial states can naturally be introduced which follow unitary quantum mechanical evolution in suitable limits.

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Hans-Thomas Elze. 2003-12-11. Quantum features in statistical observations of "timeless" classical systems. https://doi.org/10.1016/j.physa.2004.06.017

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