Studies on Maxwell Equations, Electromagnetic Wave Equations and Functions in Cosmological Special Relativity Theory

13 March 2023, Version 1
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.

Abstract

In this paper, we explore various aspects of the Cosmological Special Relativity theory. Our investigations include Maxwell equations, electromagnetic wave equations and functions, energy-momentum relations, the Klein-Gordon equation and wave function, the Yukawa potential in the Cosmological Inertial Frame (CIF), the Schrdinger equation, the Dirac equation, and their respective solutions. We also analyze the interaction between A-type wave function and B-type extended distance.Our particular focus is on the time evolution of the Yukawa potential in the CIF and the quantification of the Klein-Gordon scalar field. Through our analysis, we have established a connection between the newly modified Friedman-Lematre-Robertson-Walker metric, the Dirac equation, and the Klein-Gordon equation.

Keywords

Friedman-Lemaître-Robertson-Walker metric
the Dirac equation
Klein-Gordon equation

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