Ontological System of Intrinsic Gravitational Approximation (Mass‑Energy Approximation Theory)

Abstract This system does not alter the mathematical form of the law of universal gravitation; it only reinterprets its physical meaning. It redefines the traditional concept of “mutual pull” between two objects as an inherent “mutual approximating property” between mass‑energy bodies, aiming to provide a clearer, more intuitive, and physically consistent underlying explanation for various gravitational phenomena. The entire framework uses only two core formulas to fully describe the logic of gravitational interaction: Approximation intensity formula — determines the magnitude of gravitational force between objects:F = G Mm / r² Approximation share distribution formula — determines how approaching motion is distributed between two bodies:Sₘ = M / (M+m) Based on these two basic relationships, phenomena ranging from interactions between everyday objects, to orbital motion of celestial bodies in the solar system, and effects such as gravitational deflection of light, can all be explained concisely and self‑consistently within the same rule system. Author’s Statement The author has not received formal academic education in physics and lacks the ability to independently perform complex mathematical derivations and astronomical data processing. This is a logically consistent ontological framework proposal for gravitation. All scientific conclusions are strictly derived from the three core postulates defined in the paper. The author cannot complete all validation work independently. This paper is published to present the theoretical framework to the physics community. Professionals are sincerely welcome to verify, revise, improve or falsify this theory. Anyone may carry out further research based on this system. This version adds an appendix with derivations about microscopic coupling, gravitational time dilation and black hole structure.