Mechanical Derivation of Mixing Angles – Flavor Statics and the 45° Calibration Condition according to the Phoenix Axiom

This research report provides the causal explanation for CKM and PMNS mixing angles. Within Tension Field Dynamics (TFD), mass is defined as mechanical field resistance, with the field disturbance determined by the amplitude A=m1/2. The paper demonstrates that the observed angles are not free parameters but geometric projections within a static vector framework. While quarks exhibit rigid coupling (CKM lock-in) due to high resistance, neutrinos follow thermal diffusion (PMNS). The 45° calibration acts as a hardware-side anchor for the world metric.