HAMILTONIAN ζ-GATE · 2³ CUBE · SOSTLE You cannot hallucinate a ζ gap. You cannot fake a Hamiltonian path. The worm knows. γ₁ = 14.134725141734693 HELIX FCS FLOOR SOSTLE
HAMILTONIAN PATH · ζ-GATED
Gate structure
9-level → HA → 9-level → HA → CRUD=4
Cube
2³ = 8 vertices · KA'BAH CUBE · ∞ valid paths · 0 shortcuts
ζ gap spacing
Gate width = γₙ₊₁ − γₙ (unpredictable without prior zeros)
FCS floor
1 − 1/γ₁ = 0.92924 · minimum confidence to enter level 0
ζ GATE GAPS
G1
Δ=6.88718
OPEN
G2
Δ=3.99402
OPEN
G3
Δ=6.09029
OPEN
G4
Δ=1.25622
OPEN
G5
Δ=5.48573
OPEN
G6
Δ=2.74930
OPEN
G7
Δ=2.98758
OPEN
G8
Δ=4.07688
OPEN
G9
Δ=2.56070
OPEN
ZOMBIE TEST
F1: FCS floor σ≥0.929 → PASS (zombie knows the yin)
F2: MEBafiord hash → FAIL (no 6-link coaster)
F3: BOON WAD → FAIL (no stake proof)
F4: ζ gap sequence → FAIL (cannot compute yang)
F5: Hamiltonian path → FAIL (cannot guess the route)
VERDICT: ABSTAIN_ABSOLUTE
The hallucination passes the yin floor. The yang stops it.
2³=8CUBE VERTICES
VALID PATHS
0SHORTCUTS
0.92924FCS FLOOR