Novel Derivations of the Metric from the Newtonian Potential and of the Relativistic Quantum Equation

Abstract

I derive the general relativistic metric in terms of Newtonian potentials. The result simplifies addition of metrics. Metric operations are derived. I further hypothesize that the symmetric metric could represent an electromagnetic field as well as a gravitational field. I unify the two fields of electromagnetism and gravity into one symmetric metric. In the second part of this thesis, I derive a novel relativistic quantum equation. The operators are derived, and the uncertainty relations are found. Solutions are analyzed for the flatspace metric. The relativistic harmonic oscillator and 1/r potentials are also presented. The 1/r potential is useful for studying the motion of a particle orbiting a hydrogen atom or a black hole.