The Master Equation of the Standard Model from Foam Geometry: λ²−CA²λ+ (CA+1) ²=0

The face Laplacian of the truncated octahedron contains the factor (λ²−9λ+16) ³ whose coefficients satisfy σ₁=CA²=9 and σ₂= (CA+1) ²=16 with CA=dim (T₂g) =3. By Vieta's formulas, all Kelvin cell eigenvalues and all dimensionless SM predictions follow from this one equation. The void lattice (octahedral BCC holes) has spectrum 0, 2, 4, 6=0, CA−1, CA+1, 2CA — all integers. The bubble vacuum is a CA-unit perturbation of this symmetric void. Three new exact identities: Eg eigenvalue=CA+1=4 (the Axiom Zero coupling mode, resolving the last open identification) ; b₀QCD=λT₂g=CA²−2=7; CA=3 is self-consistent (unique root of CA²−2CA−3=0). One axiom, one cell, one number: all dimensionless SM physics.