Unification of Newtonian physics with Einstein relativity theory by using generalized metrics of complex spacetime and applications to Microcosmos and Megacosmos

Abstract

We present the unification of Theories of Physics (TPs) with real or infinite Universal Speed, such as Newtonian Physics (NPs) and Einstein Relativity Theory (ERT). This is achieved, by using isometric Euclidean Closed Linear Transformations of Complex Spacetime (ECLSTTs) endowed with the corresponding Metrics and the Generalized Real Boost (GRB), which maintain the formalism of ERT. We also produce generalized Maxwell equations, covariant under the ECLSTTs and GRB. Thus, we obtain results, which contain the fundamental parameter ξI= sqrt(-gI11/gI00) of TPs, where gI=diag(gI00, gI11, gI11, gI11) is the spacetime metric of the Relativistic Inertial Observers (RIOs). We then pass to General Relativity, defining the 1st Generalized Schwarzschild metric (1GSM), in accordance with Einstein field equations for any TPs. We compute the corresponding Lagrangian, equations of motion, precession of planets‟ orbits etc. The experimental data of our Solar system, produce a valid value of ξI. Besides the unification of TPs give us the capability of modifying objects of one TPs (such as NPs with ξI=0) in order to be used in another TPs (such as ERT with ξI=1). Thus the 2nd Generalized Schwarzschild Metric (2GSM) allows us to transform the metric-gravitation of Modified Newtonian Dynamics (MOND) to the corresponding of ERT. This explains the rotation curves in galaxies and solar systems, eliminating Dark Matter. Finally we pass to Microcosmos, combining GRB with Quantum-Mechanics. Thus we obtain valid value of ξI on Earth, by using the energies of fine structure peaks of the atomic hydrogen spectrum.