Maxwell Formulation of Gravity in the Hyperspace

Abstract

This paper presents a four‐dimensional‐space plus time Maxwellian model of gravity for particles that travel at the speed of light in Hyperspace; a Euclidean Relativity space. These particles obey Lorentz invariance when observed in a space‐time. The 3‐to‐4 dimensional interface between sub‐elementary electric‐charges and mass‐charges, both invariant respect to speed in Hyperspace, originates the well known equivalence of mass and energy in space‐time. The model reproduces Newtonian gravity plus a large scale correction proportional to the square of the speed that particles have in a space‐time. The gravitational force is also calculated in a space‐time for which the Schwarzschild’s metric is applicable, producing two additional terms that are effective at very small scale. The large scale correction might be related to observed interplanetary spacecraft flybys anomalies; the small scale corrections might be required for treating strong gravitational anomalies, repulsive gravity or phenomena observed at extremely short distance, which may include the strong nuclear force.