The Seraphim Octave Ring

DERIVED

2 · n_anti = n_flip + offset₁

3.616 = 3.561 + 0.055 ✓ exact
The de Sitter arc (C<0 region) closes exactly one Grid 1 vacuum step past the realm boundary.

SUGGESTIVE

CMB = antipode(n_BBH) + Δn

108.0 = 106.249 + 1.751
Δ = 0.002 octaves.
CMB sits one Seraphim interval past the antipode of the BBH scale.

PARTIAL DERIVATION

T_CMB = LQG_factor × √(ν_Hub)

LQG_factor = 4.793×10⁻¹¹ K/√Hz
Fixed by K₀, γ, N★ from 264 events.
Predicted: 2.740 K vs FIRAS 2.725 K (0.5%).

DERIVED

k = 2(C + 1) · C ∈ {−1, −½, 0, +½}

Grid 1 mode numbers are not free. C quantised in ħ/2 units. k=3 for n_BBH confirmed by 264 events.

DERIVED

n_string = n_BBH + 4.247
n_seesaw = n_BBH + 14.247

Both desert walls are fixed offsets from the confirmed BBH scale via k_BBH=3 and χ(S²)³ on the chi ladder. Δ=0.019 / 0.011 oct.

SUGGESTIVE

k = prime(dim(j))

Grid 1 j=½ → dim=2 → 2nd prime=3 = k_BBH ✓
Grid 2 j=2 → dim=5 → 5th prime=11 = k_seesaw ✓ (Δ=0.008 oct)