Origin of time and probability in quantum cosmology

• URL: http://arxiv.org/abs/2503.10752v1
• Date: Thu, 13 Mar 2025 18:00:01 GMT
• Title: Origin of time and probability in quantum cosmology
• Authors: Leonardo Chataignier, Claus Kiefer, Mritunjay Tyagi,
• Abstract summary: We discuss how the classical notions of time and causal structure may emerge together with quantum-mechanical probabilities from a universal quantum state.<n>Our discussion is based on quantum geometrodynamics, a canonical approach to quantum gravity.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We discuss how the classical notions of time and causal structure may emerge together with quantum-mechanical probabilities from a universal quantum state. For this, the process of decoherence between semiclassical branches is important. Our discussion is based on quantum geometrodynamics, a canonical approach to quantum gravity. In this framework, a particular boundary condition may illuminate the issue of the arrow of (classical) time in connection to the growth of entanglement entropy.

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