Unification of the Gauge Theories
Abolfazl Jafari
TL;DR
This paper unifies gauge theories by extending quaternionic algebra to electrodynamics within spacetime, using covariant derivatives and operator methods to connect gravitational and electromagnetic theories.
Contribution
It introduces a novel quaternionic framework for gauge theories, linking Einstein's equations with electrodynamics through operator-based mappings.
Findings
Quaternionic operators connect gravity and electromagnetism.
Generalized covariant derivatives facilitate unification.
Consistent constant term in Einstein equations supports the framework.
Abstract
We treat the Christoffel coefficients as operators and introduce new mappings for quaternionic products to connect with the theory of electrodynamics in general spacetime. By utilizing the directional operator of the covariant derivative, we generalize the quaternionic mechanism to the theory of electrodynamics. We demonstrate that the Einstein equation permits the selection of a constant term that is consistent with the covariant derivative.
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Taxonomy
TopicsMathematics and Applications · History and Theory of Mathematics · Relativity and Gravitational Theory