Relativity in complex spacetime

Abstract

general theory of Relativity has been developed on the basis of a complexified spacetime and its scale equivalence principle. The results are in agreement with the familiar Schwarzschild solution (as derived from Einstein's relativity formulations) [Adler et el., (1965)]1 and with the well confirmed Newtonian law of Gravitation. On the very large scale, a composite curvature spacetime cosmological model is obtained in which an Euclidean horizon replaces the Event horizon in the determination of local scale evolution of spacetime. The complexified relativistic formulation calls to question the constancy of G (Newton's universal gravitational constant), the weak Cosmological Principle which prescribes a requirement of homogeneity in the distribution of cosmological matter [Narlikar, (1978)]2 , as well as the proper meaning of the black hole radius. Finally, some quantum considerations of gravity' as well as of the Big Bang are propounded as plausible physical probabilities.