640-RAIL TWIN-320 DENSE RAIL CIRC WORKBENCH · HKUST-1 (Z=16) & 12 P3Q TAIL WATCHERS

Joshua L. Lopez · DCGP AI LLC · USPTO 19/555,951 · 19/567,678 · 19/569,785 · 19/850,925 · 624 Unit-Cell Atoms + 4 FCC Pores + 12 P3Q Tail Watchers = 640 Rails · 160 Mars Lanes × 4 Rails
syn_tail[12] = 000000_000000 (LOCKSTEP)
Total Twin-320 Rails
640 RAILS
Rail A (0..319) ⊕ Rail B (320..639)
HKUST-1 Unit Cell (Z=16)
624 ATOMS
48 Cu + 192 O + 288 C + 96 H
FCC Wyckoff Pore Rails
4 PORES
624 + 4 = 628 Primary Gate Sites
1/Z' P3Q Tail Watchers
12 WATCHERS
Rails 314..319 & 634..639 (Π_K = ℂ⁶)
Mars Lanes & HUNTER Map
160 LANES
4 Rails / Lane (Zero Remainder)
Theorem 1 Hessian Boost
8.41× / 9.02×
det Q(φ⁻¹) = φ⁻² = 0.381966
RAIL A (0..319) & RAIL B (320..639) · 12 DIFFERENTIAL P3Q TAIL WATCHERS

Each 320-rail bank contains 314 primary crystallographic + pore gate sites followed by 6 terminal P3Q Tail Watchers coupled via stride-sampled CZ parity fan-in and cross-bank differential CNOT(q[314+k], q[634+k]) gates.

BANK A WATCHERS (Rails 314..319) · Admissible Subspace Π_K = ℂ^(2⁶)
BANK B DIFFERENTIAL WATCHERS (Rails 634..639) · Δ_XOR Parity
ZERO-REMAINDER BIJECTION: 458 CAGE → 628 UNIT CELL → 640 TWIN-320 RAILS
Wyckoff / Structural Sector 458 Cage 628 Unit Cell Rail A (320) Rail B (320) Quantum Gate Role
Cu²⁺ Paddlewheel Dimers 24 48 24 (0..23) 24 (320..343) Clifford H + CNOT Entanglers
Carboxylate O Bridges 144 192 96 (24..119) 96 (344..439) Pauli-X / CX Syndrome Bridges
BTC Aromatic Carbon Struts 216 (6³) 288 144 (120..263) 144 (440..583) Non-Clifford T(π/4) Phase Struts
Aromatic Proton H Anchors 72 96 48 (264..311) 48 (584..631) Pauli-Z Frame Phase Anchors
FCC Supercage & Pocket Pores 2 4 2 (312..313) 2 (632..633) Global Bus & Tetrahedral Router
1/Z' = 12 P3Q Tail Watchers — +12 (→640) 6 (314..319) 6 (634..639) Differential Parity syn_tail[12]