Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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

Version 1 : Received: 17 February 2022 / Approved: 21 February 2022 / Online: 21 February 2022 (02:21:27 CET)
Version 2 : Received: 24 February 2022 / Approved: 25 February 2022 / Online: 25 February 2022 (03:21:12 CET)

A peer-reviewed article of this Preprint also exists.

Austin, R.W. Scalar Field Model Provides a Possible Bridge between General Relativity and Quantum Mechanics. International Journal of Astronomy and Astrophysics 2022, 12, 247–257, doi:10.4236/ijaa.2022.123014. Austin, R.W. Scalar Field Model Provides a Possible Bridge between General Relativity and Quantum Mechanics. International Journal of Astronomy and Astrophysics 2022, 12, 247–257, doi:10.4236/ijaa.2022.123014.

Abstract

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.

Keywords

Newtonian Mechanics; General Relativity; Quantum Mechanics; Fine Structure Constant; Planck Constant

Subject

Physical Sciences, Quantum Science and Technology

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