Seraphim LQG — 4D Structure

n(C) = 3.561 + 3.506 × C  |  K₀ = 1.1467×10⁴⁴ Hz²  |  Zero free parameters

Four Dimensions

Axis Y — Octave n
Observable Planck-ladder depth
3.561 (flip) → 5.314 (BBH)
Axis X — Compactness C
GR: C = R‑Schw / 2R
0 (singularity) → 0.5 (horizon)
Axis Z — Realm êₙ
Robertson orthogonality plane
Δn = 1.753 = nₛₛₕ − nₛₗἰἸ
Dim 4 — Spin χₐₛₛ
Face-activation modulation
purple=prograde · blue=retro

Key Equations

n(C) = 3.561 + 3.506×C
N(C) = nᵢₖp·êᵍ + (2CΔn)·êᵣ
ν² = K₀ / (√(j(j+1))·N★)
slope = χ(S²) × Δn = 2 × 1.753

What you see

▬ Gold tube: the compactness line n(C)
→ Orange arrow: geometric realm component
→ Blue arrow: EM realm component
● Gold sphere: BBH horizon (n=5.314)
● Blue sphere: flip/singularity (n=3.561)
● Purple/blue dots: 264 LIGO events
● Green: NSBH range
Events264 BBH
Predicted5.314
Observed5.319
Offset0.05σ
Free paramsZERO
Slopeχ·Δn