A Review and Revisit of Newton’s Law and Gravitational Constant Derivations
Curtis J. Forsythe *
21204 East 173rd Street, Pleasant Hill, Missouri 64080, USA.
*Author to whom correspondence should be addressed.
Abstract
This paper is a review of, and complement to, my original papers previously published in Physics Essays [1] and ViXra [2]. While the derivations and results pertinent to this review are unchanged, a possible extension of the proposed model as it relates to the derivation of G and to G-experimental is explored and presented in the attached addendum.
Herein, as proposed in my previous papers, is a theoretical model of Universal Gravitation based upon hypothetical mass/energy resonance waves, the intensities of which I propose to be casually analogous with those of electromagnetic waves. Using said model, I derive the expressed Newtonian law of gravitation from which an apparent Newtonian gravitational constant factors as a combination of other physical constants, yielding a primary G-value of 6.662936 x 10-11m3/kg s2, shown by extension to yield a secondary result that correlates well with the 2018 recommended value. A second resultant of the proposal is a demonstration that the quantum energy states of the hydrogen atom appear related to the length of these waves, shown equal to twice the ground state orbital radius in a Bohr hydrogen atom. Additionally determined, independently of any experimental G-value, are values for the Planck mass, length, and time.
Keywords: Universal gravitation, Newtonian constant of gravitation, mass/energy resonance waves, quantum energy states, Bohr radius, Planck mass, Planck length