Time Field Theory (TFT): Axiomatic Foundation, Dynamics and Classical Gravitational Tests (Final Corrected Version)

This is the FINAL, CORRECTED, and OFFICIAL version of the paper "Time Field Theory (TFT): Axiomatic Foundation, Dynamics and Classical Gravitational Tests". All previous versions, drafts, and uploaded records of this work are SUPERSEDED, INVALID, and INCORRECT due to mathematical inconsistencies, incomplete derivations, typographical errors, and formatting issues identified during rigorous peer review. Only THIS corrected version is self-consistent, mathematically complete, logically closed, and consistent with experimental observations including gravitational time dilation, light deflection, Mercury perihelion precession, and GPS clock corrections. Any previous versions must NOT be cited, referenced, or regarded as scientifically valid.