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preprints.org > physical sciences > theoretical physics > doi: 10.20944/preprints202312.0850.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

A Renormalizable Model of Quantum Gravity

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Version 1 : Received: 10 December 2023 / Approved: 12 December 2023 / Online: 12 December 2023 (09:21:02 CET)
Version 2 : Received: 2 March 2024 / Approved: 3 March 2024 / Online: 4 March 2024 (09:34:17 CET)

How to cite: Ashmead, J. A Renormalizable Model of Quantum Gravity. Preprints 2023, 2023120850. https://doi.org/10.20944/preprints202312.0850.v1 Ashmead, J. A Renormalizable Model of Quantum Gravity. Preprints 2023, 2023120850. https://doi.org/10.20944/preprints202312.0850.v1

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MDPI and ACS Style

Ashmead, J. A Renormalizable Model of Quantum Gravity. Preprints 2023, 2023120850. https://doi.org/10.20944/preprints202312.0850.v1

APA Style

Ashmead, J. (2023). A Renormalizable Model of Quantum Gravity. Preprints. https://doi.org/10.20944/preprints202312.0850.v1

Chicago/Turabian Style

Ashmead, J. 2023 "A Renormalizable Model of Quantum Gravity" Preprints. https://doi.org/10.20944/preprints202312.0850.v1

Abstract

Two main problems stand in the way of unifying quantum mechanics and general relativity. First, the treatment of time and space in quantum electrodynamics (QED) is not fully covariant. Second, the ultraviolet divergences in quantum general relativity are not easily renormalizable past the one loop level.In previous work, we ad- dressed the rst problem by promoting time from parameter to operator: with this the treatment of time and space in QED became fully covari- ant. The most obvious prediction was additional dispersion in time at the attosecond scale; such eects are falsiable with current technology. As an unexpected but welcome side-eect, this regularized the ultraviolet divergences in QED. We therefore ask \will promoting time to opera- tor regularize the ultraviolet divergences in quantum general relativity (QGR)?" Using the existing literature on QGR as a base, we show we can rewrite QGR with time as an operator. And that the ultraviolet diver- gences are contained in QGR just as they are in QED. We show that there are feasible tests which can distinguish between standard QGR and TGR. We conclude that TGR represents a renormalizable model of quantum gravity which is consistent with existing observational and experimental evidence and which is falsiable in principle.

Keywords

quantum gravity,time, quantum mechanics, quantum electrodynamics

Subject

Physical Sciences, Theoretical Physics

Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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