Time Field Theory (TFT): Axiomatic Foundation, Dynamics and Classical Gravitational Tests — Version 2.0 (Perfect Circle Postulate and Periodic Self-Consistency Ontology)

Abstract

This paper presents Version 2.0 of Time Field Theory (TFT), which reconstructs the entire axiomatic foundation from the kinematic level to the ontological level of periodic self-consistency and the perfect circle postulate. Starting from three core axioms of stable periodic oscillation (constant modulus, periodic closure, intrinsic dynamics), we rigorously derive the scalar time field definition, the spacetime periodicity law (flux conservation), the kinematic velocity decomposition theorem, the exact static spherically symmetric solution, and the particle dynamical equations, without additional ad hoc assumptions. All classical gravitational test results, including gravitational time dilation, gravitational light deflection, Mercury's perihelion precession and GPS clock corrections, remain fully consistent with observational data and are identical to Version 1.0. This upgrade deepens the first principle of the theory while preserving all verified physical conclusions, and forms a complete logical closed loop with the TFT metretical program and the endogenous derivation of Riemannian geometry. The theory provides a natural ontological bridge from classical gravitation to quantum mechanics via the Fourier synthesis principle of periodic oscillations. This work is No.1 in the TFT Series.