Tuesday, June 29, 2021

INVERSE SQUARE LAWS

The classical inverse square laws...i.e. Coulomb's inverse square law of electrostatics and Newton's inverse square law of gravitation...could be modified by adding an inverse linear term (either attractive or repulsive) and a zeroth-order constant term. For gravity one could use the electron and proton masses, as canonical masses, and for electrostatics one could use the fundamental unit of electric charge...and for both laws the "r" inverse power term could be taken as the Bohr radius. One could investigate either case, the inverse linear term either attractive or repulsive, with a transparent graphing program on a desktop computer and see what happens to the gravitational and electrostatic forces under these types of perturbations. The zeroth order term and the inverse linear term would have proportionality constants of the appropriate dimensions and magnitude to reproduce the observed inverse square laws, on the Earth, that Coulomb and Newton first identified in the classical era of physics...I note, in this connection, that NASA has observed anomalies in the trajectory of motion, at times, in the solar system...of NASA space probes investigating the solar system.

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