Essay Abstract
Abstract: Close examination of a nondimensionalized Newton's equation for universal gravitation written for the Bohr hydrogen atom provided the basis for the assumption that F = GmM/r2 may be a reduced form of a more complex equation. This assumption lead eventually to the discovery (invention?) of a previously unknown, fundamental equation in classical gravitation. The fundamental nature of the equation is demonstrated by: •Deriving the equation for Newton's law of universal gravitation, revealing the mathematical origin of the universal gravitational constant G, and the peculiar dimensionality of this constant. •Deriving the exact solution (Schwarzchild solution) of Einstein's General Relativity equations. •Establishing a relationship between nuclear and gravitational potential energies, showing that nuclear and gravitational potential forces are the same, and are differentiated only by the virtue of their distances. •Deducing Einstein's mass-energy equivalence equation. •Proving that the nuclear and the Planck forces are the same and should be considered a basic universal constant, rather than a derived quantity. •Deriving some of the Planck units using Fplanck, ħ, and c without G. •Demonstrating that the gravitational potential energy of the solar system planets may be proportional to the sum of the potential energy of their constituent atoms.
Author Bio
I am a retired professional with a Ph.D. in organic chemistry. I am keenly interested in philosophy and cosmology.
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