PFUSRC-055-BGR From Bicone Geometry to the Three Classical Tests of General Relativity: A Unified Topological Derivation of Mercury's Perihelion Precession, Gravitational Lensing and GPS Time Dilation

Mercury’s perihelion precession, gravitational light deflection and relativistic GPS time dilation serve as the three core observational proofs of general relativity for over a century. General relativity delivers accurate phenomenological fitting via Riemannian spacetime geometry, but fails to explain the topological origin and inherent necessity of gravitational curvature. Based on the PFUSRC 11-dimensional triple coaxial 45° steady-state bicone axiom system, this paper constructs unified topological amplification formulas and steady galaxy discriminant criteria. All classical relativistic gravitational corrections are proven low-dimensional projections of the universal biconical topological structure. Through four layered topological amplification mechanisms including nested curvature weighting and 12/11 dimensional gauge correction, a parameter-free global topological modulus of 7.26 is strictly deduced. This paper calculates intrinsic topological precession values for all solar planets and introduces first-order local density perturbation terms to explain observational residuals. A high-precision deep-space atomic clock experiment scheme is proposed to distinguish PFUSRC topological corrections from standard general relativistic predictions, completing ontological geometric tracing for the three landmark tests of general relativity.