Axiomatic Affine Unification with Large Gravitational Vector Field Yields Vector-Metric Theory of Gravitation, Electromagnetism and Field Description of Mass-Particles

摘要

Under assumption of existence of extremely large gravitational vector field, this paper proposes a road map for building an Axiomatic Eddington Affine Unification theory yielding both Maxwell’s electromagnetism and Vector-metric theory of gravitation, in which inverse of the square-magnitude of the vector serves as Newton’s gravitational constant. The dependence of the vector’s magnitude with distance may offer an explanation of both Pioneer anomaly and “star rotation abnormality” in some Galaxies. In addition, the theory provides formalism for a classical description of atomic particles (such as protons and electrons) with highly non-linear equations and highly localized solutions. The existence of large Gravitational vector field can, for some variables (sub-fields), lead to elliptical type?differential equations (unlike in Maxwell’s electromagnetism, which is hyperbolic ), that by its nature forbids the existence independent waves and their propagation. Proposed Unified field description might provide the avenue for smooth transition to the world Quantum physics.