Quantum Gravity
The Probability Wave Dispersion Interpretation of Relativity
8088 Flanders Drive
San Diego, CA, 92126
Release: 3
Revision: C
March 19, 1999
Abstract
The possibility that gravitation results from the dispersion of probability waves is explored. The wave functions chosen are solutions to the Dirac equation in a Minkowski space-time. It is hypothesized that the shape of the space-time manifold is determined by the polarizability of the wave functions at each point on the manifold. An analogy is made to an electronic circuit representing the polarizability of the manifold by the equivalent inductance and capacitance value at each point. The metric components are derived from this hypothesis and are applied to the energy momentum four-vector of the wave solution. The probability wave dispersion relationship is found, and its relationship to real and pseudo forces is explored in terms of how this brings about the properties of inertia and space-time curvature. The Christoffel field from which the field equation can be calculated is derived, and the Schwarzschild solution of the vacuum equation of General Relativity is shown to fit the model. A dispersion diagram is also derived and is shown to be equivalent to a Minkowski space-time diagram. As a result of this hypothesis and the dispersion interpretation of Relativity, General Relativity appears to be derivable from Quantum Electrodynamics.