Qubit Clock in Quantum Cosmology

We investigate the emergent time scenario in quantum cosmology based on the Page–Wotters approach. Using a quantum cosmological model with a qubit clock, it is demonstrated how the entanglement between the qubit clock and the geometry derives emergence of a time parameter, which defines evolution of...

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Bibliographic Details
Published in:Universe
Main Author: Yasusada Nambu
Format: Article
Language:English
Published: MDPI AG 2022-02-01
Subjects:
Online Access:https://www.mdpi.com/2218-1997/8/2/99
Description
Summary:We investigate the emergent time scenario in quantum cosmology based on the Page–Wotters approach. Using a quantum cosmological model with a qubit clock, it is demonstrated how the entanglement between the qubit clock and the geometry derives emergence of a time parameter, which defines evolution of the timeless quantum state of the universe. We show that the universe wave function conditioned by a qubit clock obeys the standard Schrödinger equation and the Fisher information for the clock state, which quantifies entanglement between the universe and the clock, and contributes as a negative energy density.
ISSN:2218-1997