A Simple Scalar Field Model Based on Classical Newtonian Mechanics Provides a Fundamental Bridge Between General Relativity Effects and Quantum Mechanics

As part of my doctoral thesis I researched a novel method to introduce General Relativity as a continuation of Newtonian physics, with the hope of keeping the method at a high school academic level. The method resulted in calculating many General Relativity effects without utilizing differential geometry. These effects aligned to a minimum first order precision of Schwarzschild's solution to Einstein's field equations. As a continuation of this methodology I hereby introduce a simple scalar field for mapping gravitational relativistic effects of orbital mechanics. These effects are then applied to a classical model of the Hydrogen atom resulting in a relativistic effect equal to the binding energy of the Hydrogen atom. The model is not presented as as a replacement for current theory, rather it is for inspection and illustration of how a simplistic model may offer a fundamental bridge between the more complex, time proven theories of General Relativity and Quantum Mechanics.