Year: 2025
Type: preprint
Abstract: It is unclear whether an observable notion of time exists in quantum gravity even in principle because spacetime itself fluctuates. We propose a form of observable time in perturbative quantum gravity. First, we define an elapsed proper time in curved space using intersections of worldlines and future light cones. Here, time arises from causality via the dependence on light cones. We then propose that performing the gravitational path integral describes quantum gravity corrections to this notion of proper time at all orders in $G_N$. Using this prescription, we compute the leading quantum gravity corrections to two-point correlation functions of elapsed time. We find that the commutators can be nonzero, showing this notion of time is a quantum operator in quantum gravity.
Source: arXiv (Cornell University)
Author: Sivaramakrishnan, Allic
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4417095370
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