Preprint
Article

C4 Space-Time.. A Window to New Physics?

This version is not peer-reviewed.

Submitted:

26 October 2018

Posted:

29 October 2018

Read the latest preprint version here

Abstract
We explore the possibility to form a physical theory in C4. We argue that the expansion of our usual 4-d real space-time to a 4-d complex space-time, can serve us to describe geometrically electromagnetism and unify it with gravity, in a different way that Kaluza-Klein theories do. Speci cally, the electromagnetic eld Aμ, is included in the free geodesic equation of C4. By embedding our usual 4-d real space-time in the symplectic 8-d real space-time (symplectic R8 is algebraically isomorphic to C4), we derive the usual geodesic equation of a charged particle in gravitational eld, plus new information which is interpreted. Afterwards, we explore the consequences of the formulation of a "special relativity" in the at R8.
Keywords: 
extended space-time; complex space-time; uni ed theories; geometric uni cation; dark matter-energy; Cartan's principle of triality;extended general-special relativity
Subject: 
Physical Sciences  -   Mathematical Physics
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.

Downloads

990

Views

1017

Comments

0

Subscription

Notify me about updates to this article or when a peer-reviewed version is published.

Email

Prerpints.org logo

Preprints.org is a free preprint server supported by MDPI in Basel, Switzerland.

Subscribe

© 2025 MDPI (Basel, Switzerland) unless otherwise stated