FULL 202-OCTAVE CAVITY — EVERY KNOWN SCALE
THE TWO GUT BANDS & THE DESERT BETWEEN THEM
LOWER GUT BAND: n = 5.3 → 12.9
n_BBH (Seraphim anchor)5.314
String scale (~10¹⁷ GeV)9.58
SU(5) GUT scale (~2×10¹⁶ GeV)11.91
SUSY GUT (~10¹⁶ GeV)12.91
LOWER WALL: n_flip + 3×χ(S²) = 9.651
String scale Δ = +0.071 oct — ladder rung hit
UPPER GUT BAND: n = 19.6 → 20+
Seesaw / R-handed ν (~10¹⁴ GeV)19.55
Next scale (unmapped)?
UPPER WALL: set by seesaw mechanism
NOT on χ(S²) ladder — different ruler
DESERT WIDTH: 9.97 oct ≈ 5×2.03
n = 9.6 to 19.6 — NO KNOWN PHYSICS
NEAR-PLANCKIAN POCKET — n = 0 to 6
PARTICLE PHYSICS BAND — n = 58 to 82
ATOMIC & COSMIC TRANSITION BAND — n = 88 to 115
GRAVITATIONAL WAVE OBSERVATIONAL BANDS — n = 130 to 180
DERIVATION STATUS — MARCH 18, 2026
✓ n_BBH = 5.314 — 264 events
✓ H condensation ceiling — 118 elements
✓ Robertson over Heisenberg
● C = ±0.5 derived from Robertson
● n_mirror = 1.808 derived
◆ χ(S²)=2 governs phase transitions
◆ n_BBH = n_Hub/38 (0.03%)
◇ Mirror sector = dark matter (GUP)
◇ C=−0.5 ↔ de Sitter / dark energy