arXiv:2503.10752 · Journal of Physics Conference Series
Origin of time and probability in quantum cosmology
Leonardo Chataignier, Claus Kiefer, Mritunjay Tyagi
Abstract
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.