Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

The Influence of Time in a Theory of Nature

Version 1 : Received: 12 May 2023 / Approved: 12 May 2023 / Online: 12 May 2023 (13:38:11 CEST)
Version 2 : Received: 23 June 2023 / Approved: 30 June 2023 / Online: 3 July 2023 (13:36:33 CEST)
Version 3 : Received: 27 October 2023 / Approved: 27 October 2023 / Online: 30 October 2023 (12:19:56 CET)
Version 4 : Received: 21 November 2023 / Approved: 22 November 2023 / Online: 23 November 2023 (16:36:39 CET)
Version 5 : Received: 11 December 2023 / Approved: 12 December 2023 / Online: 13 December 2023 (06:11:17 CET)
Version 6 : Received: 29 December 2023 / Approved: 29 December 2023 / Online: 29 December 2023 (10:37:10 CET)

How to cite: Oldani, R. The Influence of Time in a Theory of Nature. Preprints 2023, 2023050952. https://doi.org/10.20944/preprints202305.0952.v1 Oldani, R. The Influence of Time in a Theory of Nature. Preprints 2023, 2023050952. https://doi.org/10.20944/preprints202305.0952.v1

Abstract

We think of time as one of four dimensions appearing in the equations of motion of Newtonian and quantum physics, but participating independently of space. In these pages we explore the way the time variable affects how space is perceived. We show first that non-commutation may be interpreted as the difference between electron and photon cycling during radiation processes. For every electron cycle of a quantum oscillator there are two photon cycles. Secondly, the difference between relativistic and non-relativistic quantum mechanics is shown to be related to time evolution. Only relativistic models evolve continuously. The reasoning of Einstein is implicit to an understanding of both physical models. Previously obtained derivations of relativistic quantum mechanics are reaffirmed by following the ideas of Dirac.

Keywords

Non-commutation; quantum mechanics; time; quantum oscillator; Planck’s law; matrix mechanics; relativity theory; Schrödinger equation

Subject

Physical Sciences, Theoretical Physics

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