Conclusion

Rather than a universal constant, the speed of light is shown to be an invariant quantity determined by the tangent vector fields of the capacitance and inductance gradients. The variation of these vector components from point to point determines the geodesic motion of test particles resulting from the dispersion of their probability waves. From the hypothesis that the shape of the space-time manifold is determined by the polarizability of wave functions, a new interpretation of Relativity is brought about and the properties of mass, inertia and space-time curvature are shown to be merely different aspects of wave dispersion. The relationship between the Refractive metric and the Schwarzschild metric, as well as the equivalence of the dispersion diagram to the Minkowski space-time diagram shows that the theory of Quantum Electrodynamics and the Dirac equation lead logically, and consistently to a viable theory of Quantum Gravity. Other evidence not shown that supports the equivalence of these two interpretations is the gravitational red shift and gravitational lensing, both of which can easily be derived from the Refractive metric components.

References