Quantum Mechanical Black Holes: Towards a Unification of Quantum Mechanics and General Relativity

Abstract

In this paper, starting from vortices we are finally lead to a treatment of Fermions as Kerr-Newman type Black Holes wherein we identify the horizon at the particle's Compton wavelength periphery. A naked singularity is avoided and the singular processes inside the horizon of the Black Hole are identified with Quantum Mechanical effects within the Compton wavelength. Inertial mass, gravitation, electromagnetism and even QCD type interactions emerge from such a description including relative strengths and also other features like the anomalous gyromagnetic ratio, the discreteness of the charge, the reason why the electron's field emerges from Newman's complex transformation in General Relativity, a rationale for the left handedness of neutrinos and the matter-antimatter imbalance. This model describes the most fundamental stable Fermions viz., the electrons, neutrinos and approximately the quarks. It also harmoniously unifies the hydrodynamical, monopole and classical relativistic perspectives.