Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed

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

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)

How to cite: Mastoridis, D.; Kalogirou, K. C4 Space-Time.. A Window to New Physics?. Preprints 2018, 2018090368. Mastoridis, D.; Kalogirou, K. C4 Space-Time.. A Window to New Physics?. Preprints 2018, 2018090368.


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.


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


Physical Sciences, Mathematical Physics

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