Work

The solution to the problem of time in quantum gravity also solves the time of arrival problem in quantum mechanics

Year: 2022

Type: article

Abstract: We introduced with coauthors some years ago a solution to the problem of time in quantum gravity which consists in formulating the quantum theory in terms of real clocks. It combines Page and Wootters’ relational proposal with Rovelli’s evolving constants of the motion. Time is associated with an operator and not a classical parameter. We show here that this construction provides a natural solution to the time of arrival problem in quantum mechanics and leads to a well defined time-energy uncertainty relation for the clocks.

Source: New Journal of Physics

DOI: 10.1088/1367-2630/ac6768

Authors: Rodolfo Gambini, Jorge Pullin

Institution: Louisiana State University

Language: English

Topic: Noncommutative and Quantum Gravity Theories

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,255

Funder: National Science Foundation