Preprint Article Version 4 Preserved in Portico This version is not peer-reviewed

Quantum Dynamics under Gravitational Potential; Insights from Gravitational-Redshift

Version 1 : Received: 3 April 2024 / Approved: 4 April 2024 / Online: 5 April 2024 (13:13:32 CEST)
Version 2 : Received: 7 April 2024 / Approved: 8 April 2024 / Online: 9 April 2024 (09:03:11 CEST)
Version 3 : Received: 11 April 2024 / Approved: 12 April 2024 / Online: 15 April 2024 (08:08:31 CEST)
Version 4 : Received: 15 April 2024 / Approved: 15 April 2024 / Online: 15 April 2024 (14:39:50 CEST)

How to cite: Inioluwa Precious, A. Quantum Dynamics under Gravitational Potential; Insights from Gravitational-Redshift. Preprints 2024, 2024040393. https://doi.org/10.20944/preprints202404.0393.v4 Inioluwa Precious, A. Quantum Dynamics under Gravitational Potential; Insights from Gravitational-Redshift. Preprints 2024, 2024040393. https://doi.org/10.20944/preprints202404.0393.v4

Abstract

This short paper briefly explores the interplay between quantum mechanics and gravity, drawing from the principle of gravitational redshift and bringing it into quantum mechanical frameworks. The exploration looks through quantum mechanical relations and equations such as Planck-Einstein relation, De-Broglie’s relation and the relativistic wave equations, and propagators, accounting for the presence of gravitational fields through gravitational redshift of its momentum.

Keywords

gravitational redshift; quantum mechanics; quantum-gravity; relativistic equations

Subject

Physical Sciences, Particle and Field Physics

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