Quantum features in statistical observations of "timeless" classical systems

Details Quantum features in statistical observations of "timeless" classical systems Quantum features in statistical observations of "timeless" classical systems

2003-12-11

arxiv.org/abs/gr-qc/0312062v1

Physica A344 (2004) 478-483

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages. Invited talk at Int. Workshop Trends and Perspectives on Extensive and Non-Extensive Statistical Mechanics, Angra dos

Scientific paper

10.1016/j.physa.2004.06.017

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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