Gravity between Internally Electrodynamic Particles

TL;DR

This paper predicts a fundamental attractive force between charged particles derived from electrodynamics, which mathematically matches Newton's gravitational law and could explain gravity as an electromagnetic phenomenon.

Contribution

It introduces a first-principles derivation of gravity as an electromagnetic radiation force between particles, aligning with Newton's law and providing a potential electromagnetic origin of gravity.

Findings

Derivation of an attractive force identical to Newton's gravity

Expression of the force in terms of electromagnetic constants and vacuum properties

Proposes a wave-mediated transmission of gravitational interaction

Abstract

We present a first-principles' prediction that two charged particles of masses M_1 and M_2 separated R apart in a dielectric vacuum act on each other always an attractive force in addition to other known forces in between. This component attractive force on one charge results as the Lorentz force in the radiation depolarization- and magnetic- fields of the other charge, being an attractive radiation force, and is in addition to the ordinary repulsive radiation force. The exact solution for the attractive radiation force is F_g=G' M_1M_2/R^2, an identical formula to Newton's law of gravitation. G'=\chi_{0^*}e^4/4\pi\epsilon_0^2\hbar^2\rho_l is identifiable with Newton's gravitational constant, \chi_{0^*} being the susceptibility and \rho_l the linear mass density of the vacuum, and the remaining fundamental constants of the usual meaning. The F_g force is conveyed by a transverse vacuuonic dipole-moment wave traveling at the velocity of light and can penetrate matter freely. In all of respects, the F_g force represents a viable cause of Newton's universal gravity.