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Quantum features in statistical observations of “timeless” classical systems

✍ Scribed by H.-T. Elze

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
177 KB
Volume
344
Category
Article
ISSN
0378-4371

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✦ Synopsis

We pursue the view that quantum theory may be an emergent structure at large space-time scales. 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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Translation invariance in statistical me
Translation invariance in statistical mechanics of classical continuous systems
✍ Ch. Gruber; Ph. Martin 📂 Article 📅 1981 🏛 Elsevier Science 🌐 English ⚖ 713 KB

It is shown that equilibrium states of classical systems of point particles are translation invariant whenever they have integrable clustering. Equilibrium states are defined by correlation functions obeying the BBGKY hierarchy. The result holds for two-body forces which may have locally integrable