Four Fundamental Forces from a Single Equation(FFFE)_Supporting Document

his technical note provides the full derivations, numerical guardrails, and cross-checks that support the main article “Four Fundamental Forces from a Single Equation (FFFE)”. The document includes:• explicit derivations of the lock relations (Tri-Equality, Clapeyron, Bulk-cap, Kerr-viscosity sign-lock) from the Universal Physical Equation (UPE);• the baseline anchors used for the UPE/FFFE framework (T∗,μB∗)=(0.16,0.30) GeV(T^*,\mu_B^*)=(0.16,0.30)\,\mathrm{GeV}(T∗,μB∗)=(0.16,0.30)GeV and all transport coefficients derived therefrom;• verification of guardrail conditions (causality, linear stability, non-negative entropy production, and positive damping);• cross-validation tables connecting analytic predictions with the numerical datasets published alongside this record;• reproducibility notes. Related resources: Main paper: M.J. Baek(2025). Four Fundamental Forces from a Single Equation (FFFE). M.J. Baek(2025). Universal Physical Theory and Equation (UPTE).