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Classical spacetime interacting with quantum matter

Published on:

5 July 2023

Primary Category:

General Relativity and Quantum Cosmology

Paper Authors:

Isaac Layton,

Jonathan Oppenheim,

Andrea Russo,

Zachary Weller-Davies

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Key Details

Studies theories with a classical spacetime and quantum matter (CQ theories)

Derives the Newtonian limit of CQ theories of gravity

Finds diffusion of gravitational potential with decoherence of matter

Diffusion and decoherence are related by a trade-off

Allows experimental constraints on CQ theories

Uses multiple approaches: CQ path integrals and master equations

AI generated summary

Classical spacetime interacting with quantum matter

This paper studies theories where spacetime is treated classically while matter fields are quantum, known as classical-quantum (CQ) theories. It derives the Newtonian limit of CQ theories of gravity, finding they generically predict diffusion of the gravitational potential away from the classical solution. To remain consistent, this is accompanied by decoherence of matter into position or mass eigenstates. The diffusion and decoherence are related by a trade-off, allowing experimental constraints. The results are obtained through multiple approaches: by gauge-fixing the CQ path integral for general relativity, and by taking the non-relativistic limit of CQ master equations. This provides a framework to test the quantum nature of gravity.

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