Preprint Article Version 1 This version is not peer-reviewed

Dynamic Path in C4 Space-Time

Version 1 : Received: 17 September 2018 / Approved: 19 September 2018 / Online: 19 September 2018 (08:30:15 CEST)

How to cite: Mastoridis, D.; Kalogirou, K. Dynamic Path in C4 Space-Time. Preprints 2018, 2018090371 (doi: 10.20944/preprints201809.0371.v1). Mastoridis, D.; Kalogirou, K. Dynamic Path in C4 Space-Time. Preprints 2018, 2018090371 (doi: 10.20944/preprints201809.0371.v1).

Abstract

After developed the formulation of a "general relativity" in C4 [2], we proceed with the formulation of a Hamilton-Jacobi equation in C4. We argue that in this consideration, the usual problems of the ADM formalism, do not exist, due to the complex time as it exists in our consideration. Speci cally, we can derive a suitable dispersion relation in order to work with and nd a generalised super Hamiltonian

Subject Areas

dynamic path; ADM formalism; complex space-time; extended space-time; uni ed theories; geometric uni cation

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