A repulsive core force is derived which, assuming π mesons are the field particles, gives binding energies in good agreement with binding energies per nucleon of heavy nuclei. The physical model consists of a field of relatively short range, in which emission of a π meson by a nucleon and subsequent absorption by a neighboring nucleon is equivalent to a potential well. The binding energy at the equilibrium spacing of the nucleons is the self-energy of the π mesons, which is (...) calculated by analogy with classical electric fields. (shrink)

A geometric interpretation of gravitation is given using general relativity. The law of gravitation is taken in the formR 44=0, whereR 44is the component of the contracted Riemann-Christoffel (Ricci) tensor representing the curvature of time. The remaining curvature components of the contracted Riemann-Christoffel tensor may or may not vanish. All that is required in addition toR 44=0 is that the Gaussian curvatureR be nowhere infinite. The conditionR 44=0 yields a nonlinear wave equation. One of the static degenerate solutions represents the (...) gravitational field surrounding a static gravitational point singularity. It is found that for this solution, the three famous predictions of general relativity are obtained in the weak-field approximation. In addition, it is found that there is a correction to the Kepler period of revolution for an orbit. (shrink)

A theoretical relationship for the electron rest mass is derived in terms of the electron charge, Planck's quantum of action, and the speed of light. The basis for this derivation is an assumption that the electron rest mass is entirely electrostatic in origin, combined with the realization that the maximum action density of the world is simply the speed of light. Planck's quantum of action becomes perspicuously associated with an elliptical microspace.

The law of gravitation is taken in the formR 44=0, whereR 44 is the time curvature component of the Ricci tensor. Space-time separable equations are developed in spherical coordinates for the nonlinear wave equation determined byR 44=0. One exact solution is examined in detail.

Radial motion of a small point mass in the gravitational field of a large point mass is investigated for the law of gravitationR 44 =0. When geodesic equations are expressed in terms of components of acceleration, it is found that the normally “attractive force” of gravitation gradually weakens as the large mass is approached, and becomes “repulsive” inside a critical nonsingular radius close to the origin of coordinates. A particle requires an infinite time to reach the origin, regardless of its (...) initial distance. Gravitational collapse, or at least violent collapse, is thus precluded. (shrink)