Law of Mass in the Time Field Model: A Unified Framework for Particle Physics and Galactic Dynamics Without Dark Matter

We present a unified formulation of the Law of Mass within the Time Field Model (TFM), augmented with a rigorous PDE/Lagrangian treatment and empirical mass-fitting formulas that achieve 100% agreement with experimental data for fermions, neutrinos, and bosons. We derive the TFM action, highlight how mass emerges from wave-based interactions in space quanta (embedding the Higgs for SM consistency), then incorporate new parametric formulas that match particle masses and neutrino oscillation data. While these parametric fits appear to yield perfect numerical agreement, they may be viewed as simplified or toy-level. Nonetheless, they illustrate TFM’s capability to replicate known masses without requiring separate dark matter or exotic mechanisms for cosmic scales.