Series Paper — SM-Line
Standard Model Series
SM-10: Toward First-Principles Quark Mass from Finite Element Chain Network Simulation
Two-regime FEM chain model reproduces all four quark masses, including a Shell-3 relay mechanism for the top
Abstract: SM-10 develops a finite-element chain-network model to explain why the SM-8 quark mass formula scales as V^(7/3). A CPU proof-of-concept reveals two physical regimes: an intra-cage cascade with radially varying cascade rates that reproduces strange, charm, and bottom; and a Shell-3 relay for the top quark, in which DPs dissociate to occupy edgeless Shell-3 positions and form a synthetic icosahedral relay cage whose twelve vertices radiate to Shell 4. The relay produces the z C_F = 16 post-gap multiplier from geometry alone. Success is measured against PDG mass ratios directly to avoid circular validation; the current calibrated geometric model uses 4 fitted parameters for 4 data points, with the GPU first-principles step registered as future work.
- Two-regime FEM model fits all four quark masses
- Top quark Shell-3 relay yields z·C_F = 16 from geometry
- Validation against PDG ratios avoids V^(7/3) circularity