Time Field Theory XV: 45° Angle Dynamics and the Ultimate Unification of Quantum and Gravitational Fundamental Constants

This paper is the final and concluding work in the Time Field Theory (TFT) series. Based on the axiom of total spacetime velocity conservation \(c^2 = v_t^2 + v_s^2\) and 45° primitive symmetric angle dynamics, we derive the reduced Planck constant \(\) and gravitational constant \(G\) entirely from first-principles projective geometry. The derivation contains no free parameters, no empirical inputs, and no ad-hoc assumptions. This work completes the full unification of spacetime structure, gravity, electromagnetism, quantum behavior, and all fundamental physical constants, including \(α\), \(ε_0\), \(μ_0\), \(G\), and \(\). The entire theoretical system is self-consistent, quantitatively verifiable, and dimensionally closed. This paper marks the logical completion of the Coordinate–Projection Unified Spacetime Theory.