Supplementary Material

• s1_universal_boson_theorem.py — Theorem 1: 1000 random phase trials per n.
• s2_spin_classification.py — Full (n,m) classification; gluon colour structure.
• s3_charge_and_confinement.py — Fractional occupancy; symmetry errors; confinement projection residuals.
• s4_mass_spectrum.py — Reports observed lepton log ₂(m∕m_e) values and the combinatorial 4-bit argument side by side, without asserting a connection between them; see Section 10.
• s5_fermion_boson_conservation.py — Theorems 2 and 3; theta-dependent conservation; full spectrum summary.
• audit_mass_ladder.py — Audit the mass ladder conclusions.