THE INVERSE SEMI-CUBE OF DISTANCE: THE VOLUMETRIC GEOMETRY OF GRAVITY AND THE RELATIVISTIC CONVERGENCE OF 1.75

ABSTRACT This study proposes a fundamental revision in the propagation metric of radiant and gravitational fields. While area is sufficient to measure light tangentially striking opaque objects without penetrating them, estimating gravity—which acts entirely upon every atom of the involved bodies—leads us to deduce that static volume might offer the solution. However, deeper investigation reveals that static volume is also insufficient. The exclusivity of the Inverse Square Law (1/r2)—based on two- dimensional surfaces—is questioned in favor of a three-dimensional model termed the “Inverse Semi-Cube of Distance.” It is demonstrated that by considering energy propagation as a continuous flux filling spherical shells, density dilution follows a geometric factor of 1/7 when doubling the radius, rather than 1/4 (area) or 1/8 (total volume). The involvement of spacetime and motion attenuates the effective volumetric density, reducing its total charge by 12.5% relative to the 87.5% larger space in the second half of the radius, reflecting the fact that gravity between two bodies encompasses them entirely (volumetrically), and not merely superficially. The study concludes by presenting a robust mathematical correlation: the ratio between the proposed volumetric dilution (7) and the classical surface dilution (4) yields the factor 1.75—precisely matching the gravitational deflection value predicted by General Relativity and confirmed by the Eddington expedition in 1919.