1e-12
‖𝒟ψ‖ Zero Mode
π
Zak Phase
0.809
β_KAP Critical
32%
HOTI Corner
C=1.0
Floquet Chern
0.200
γ_c NHSE
PROD
Run M14

Kaprekar Quotient Chain

N_k = [384, 576, 2400, 1272, 1518, 1656, 2184] W_k = [470.3, 1175.8, 1747.2, 1389.6, 1585.5, 1901.8]

Zak Phase = π (Topological)

Z = 1.000 | Topological SSH Phase

Quantum Critical β_KAP = 0.809

λ_c = 0.200 | R² = 0.990 | Physical λ=1.0 → λ/λ_c = 5.0

HOTI t1/t2 = 0.851

⚠️ Moderate phase | Corner weight = 32% | Needs t1/t2 ≪ 1

Floquet Chern C:0→1

NHSE Skin Effect ξ→∞

Critical γ_c ≈ 0.200 | Matches λ_c

M14 Production Pipeline

Status: PRODUCTION READY N_k verified | 11-panel figure | JSON reports Upload: Aqarion13/KAPREKAR/PYTHON