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

Dimitris Mastoridis; K. Kalogirou

doi:10.20944/preprints201809.0368.v3

Preprint Article Version 3 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 17 September 2018 / Approved: 19 September 2018 / Online: 19 September 2018 (08:18:55 CEST)
Version 2 : Received: 26 October 2018 / Approved: 29 October 2018 / Online: 29 October 2018 (11:32:19 CET)
Version 3 : Received: 16 October 2019 / Approved: 17 October 2019 / Online: 17 October 2019 (09:51:27 CEST)
Version 4 : Received: 5 February 2020 / Approved: 7 February 2020 / Online: 7 February 2020 (04:34:13 CET)

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. Specially, the electromagnetic eld A_μ, 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.

extended space-time; complex space-time; united theories; geometric unification; dark matter-energy; Cartan's principle of triality;extended general-special relativity

Physical Sciences, Mathematical Physics

Comment 1

Received: 17 October 2019
Commenter: Dimitris Mastoridis
Commenter's Conflict of Interests: Author

Comment: There have been major changes during the peer review proccedure in journal "UNIVERSE"

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

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