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


How to Cite

Forsythe, Curtis J. 2020. “A Review and Revisit of Newton’s Law and Gravitational Constant Derivations”. Physical Science International Journal 24 (8):29-37. https://doi.org/10.9734/psij/2020/v24i830207.