Quantum densities in Curved Spacetime

Adegbite Inioluwa Precious

doi:10.20944/preprints202404.1792.v2

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preprints.org > physical sciences > other > doi: 10.20944/preprints202404.1792.v2 (registering DOI)

Preprint Article Version 2 This version is not peer-reviewed

Quantum densities in Curved Spacetime

Adegbite Inioluwa Precious

Version 1 : Received: 26 April 2024 / Approved: 26 April 2024 / Online: 26 April 2024 (17:04:24 CEST)
Version 2 : Received: 29 June 2024 / Approved: 1 July 2024 / Online: 1 July 2024 (17:49:53 CEST)

How to cite: Inioluwa Precious, A. Quantum densities in Curved Spacetime. Preprints 2024, 2024041792. https://doi.org/10.20944/preprints202404.1792.v2 Inioluwa Precious, A. Quantum densities in Curved Spacetime. Preprints 2024, 2024041792. https://doi.org/10.20944/preprints202404.1792.v2

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MDPI and ACS Style

Inioluwa Precious, A. Quantum densities in Curved Spacetime. Preprints 2024, 2024041792. https://doi.org/10.20944/preprints202404.1792.v2

APA Style

Inioluwa Precious, A. (2024). Quantum densities in Curved Spacetime. Preprints. https://doi.org/10.20944/preprints202404.1792.v2

Chicago/Turabian Style

Inioluwa Precious, A. 2024 "Quantum densities in Curved Spacetime" Preprints. https://doi.org/10.20944/preprints202404.1792.v2

Abstract

Defining integrals over volume element in curved spacetime together with the mass and energy densities within that region of spacetime is apparently equivalent to the given energy and mass of that body or particle. With this in mind equations involving energies and masses can be rewritten in terms of their densities and the integral over the curved space-time volume element. The idea find its place in quantum mechanical frameworks systematically accounting for the effect of spacetime volume structures and gravity on dynamics of quantum systems. This article briefly explores these concepts and runs through various frameworks and equations relevant to this idea including the quantum stress energy tensor, and expressing Schrodinger’s equation in ways that are tied to general relativity it also discusses the cosmological constant and the cosmological constant problem.

Keywords

Energy-density; Mass-density; general relativity; Quantum mechanics

Subject

Physical Sciences, Other

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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