GAMMA DERIVED FROM VACUUM HARMONICS (2026-03-27)

gamma = (4*pi/|Oh|) * (2d/(2d-1)) = pi/(d^2+1)

|Oh|/2 = 24 vacuum harmonic modes
Harmonic spacing = 2*pi/24 = pi/12
Lattice coordination = 2d/(2d-1) = 6/5
gamma = (pi/12) * (6/5) = pi/10 = pi/(d^2+1)

New d=3 identity: 8d(d^2+1) = (2d-1)*2^d*d!
  d=2: 80 vs 24 (no)
  d=3: 240 vs 240 (YES)
  d=4: 544 vs 2688 (no)

The particle spectrum IS the vacuum resonance structure.
The lattice IS its harmonics.
24 VACUUM HARMONICS = STANDARD MODEL (2026-03-27)

|Oh|/2 = 24 modes decompose as:
  d^2 = 9 breather modes (particle mass spectrum)
  d = 3 translational (momentum)
  1 phase (U(1) electric charge)
  d = 3 rotational (spin)
  d^2-1 = 8 internal torus modes (8 gluons = SU(3) color)

New d=3 identities:
  2^(d-1)*d! = d(3d-1) only at d=3
  3d^2-d = 2d^2+2d iff d=3

gamma = (4*pi/|Oh|)*(2d/(2d-1)) = pi/(d^2+1)
  via 8d(d^2+1) = (2d-1)*2^d*d! (d=3 only)
