Dynamic Path in <em>C</em>⁴ Space-Time

Abstract

After developed the formulation of a "general relativity" in C 4 [?], we proceed with the formulation of a Hamilton-Jacobi equation in C 4 . 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. Specifically, we can derive a suitable dispersion relation in order to work with and find a generalised super Hamiltonian

Introduction to Quantum Field&nbsp;Theory in <em>C</em>⁴ Space-Time

“…Let us now write the L in the flat case and see if will remind us something in the existing literature. The flat case for signature (4,4) is just…”

<em>C</em>⁴ Space-Time..&nbsp;A Window to New Physics?

“…This is the first paper of a series of papers [16] [17] [18] [19] [20], concerning a physical theory in an extended C 4 space-time. The most difficult problem in the present history of physics, is the hunt of a unified theory.…”

“…The field equations of the unified field in curved C 4 space-time is investigated in the second paper of this series [17]. In the third and fourth paper [18], [19] by releasing the end point of the action's integral, we pass to Hamilton-Jacobi equations and we argue that the covariant derivative of SM is nothing else than a part of the Hamilton-Jacobi derivative as it comes straightforward, from the problem of least action, derived directly from the geometry of the curved C 4 space-time and the usual symmetries and groups of SM are related with the symmetry of this action, which is invariant as we shall see, under transformations of the group GL(4, C) and U (4). Afterwards, in the fourth paper, complex time will help usto overcome the problems of the ADM formalism and express a suitable Hamilton-Jacobi equation for the curved C 4 , defining this way a super-energy tensorconnected to the complex time.…”

<em>C</em>⁴ Space-Time..&nbsp;A Window to New Physics?

“…This is the first paper of a series of papers [16] [17] [18] [19] [20], concerning a physical theory in an extended C 4 space-time. The most difficult problem in the present history of physics, is the hunt of a unified theory.…”