Quantum features in statistical observations of "timeless" classical systems

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.

7 pages. Invited talk at Int. Workshop Trends and Perspectives on Extensive and Non-Extensive Statistical Mechanics, Angra dos Reis (Brazil), Nov. 2003. To appear in Physica A

References in corpus (10)

• Quantum Theory from Quantum Gravity
• Emergent discrete time and quantization: relativistic particle with extradimensions
• Determinism beneath Quantum Mechanics
• Time without time: a stochastic clock model
• Quantum Mechanics and Determinism
• Statistical Dynamics of Global Unitary Invariant Matrix Models as Pre-Quantum Mechanics
• Quantum correlations in classical statistics
• Quantum features in statistical observations of "timeless" classical systems
• Dissipation, Emergent Quantization and Quantum Fluctuations
• Chaotic Quantization: Maybe the Lord plays dice, after all?

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• The Gauge Symmetry of the Third Kind and Quantum Mechanics as an Infrared Limit