Geometric-distortions and physical structure modeling

An investigation on the interpretation of localized geometric distortions as a source of microscopic physical particle-structures has been undertaken. Modeling utilizes the fundamental curvature equations of Riemannian geometry. It is limited to geometric-distortional families satisfying a simple temporal-to-spatial tensor equation-of-state, a Maxwellian relationship. A microscopic-level coupling-constant also results, which supplants and extends the classical gravitational coupling-constant. The geometrical tensor elements of the distorted space exhibit negative, as well as positive, curvature-magnitudes and energy-densities while the field-observable in the negative energy–density spatial core-region is non-Coulombic and non-infinite at the radial origin. Fundamental particles and gravitational structures have been mimicked. (author)