4 → 25,920
Four transvections generate every W33 automorphism; the compiler has word diameter eleven.
Symmetry as an operating system.
Passes 3743–3750 replace vague claims of universality with exact control costs, a correlated-noise benchmark, a protected 81-register factory, matched graph competitors, and a preregistered experiment capable of falsifying W33 advantage.
0.056×
Four-tick interleaving cuts the declared HMM MAP error to 5.6% of consecutive sampling.
81 · 240 · 720
Eighty-one logical qutrits, 240 resource links, and a proved 720-term physical coupling floor.
167,356
Complete degree-twelve Cayley tournament on Z₂³×Z₅.
S₄₀
Relative incidence rounds generate every classical permutation of forty channels.
24 ≤ Z ≤ 29
Symmetry compresses calibration but passive dynamics remain three-dimensional without local control ports.
Exact architecture ledger
| Front | Result | Boundary |
|---|---|---|
| Symmetry OS | Group 25,920; diameter 11; full sweep 211,898 macros | Permutation macros, not calibrated pulses |
| Space-time decoder | MAP error 6.3819×10⁻⁵ after four-tick spacing | Declared HMM benchmark |
| Hybrid factory | 243 physical qutrits, 729 rails, 720 phase terms | No complete photonic threshold |
| Grand tournament | Best matched noncyclic gap 9.527864045 < 10 | Layout witnesses are heuristic |
| Hardware challenge | Locked structural, transport, twirl, and schedule endpoints | Prospective; no device data |
| Floquet holonomy | Generated group S₄₀ | Classical routing, not coherent gates |
| Twirl firewall | Necessary unweighted size divisible by 4,320; known exact sweep 25,920 | Lower bound not sufficient |
| Control ports | 24 ≤ zero-forcing number ≤ 29 | Exact minimum remains open |
Locked falsifiers
W33 fails the preregistered challenge if its reconstructed support violates A² = 8I − 2A + 4J, if it fails to outperform both matched controls by the locked transport margin, if twirling leaves more than ten percent residual outside span{I,A,J}, or if the four-tick schedule relies on hidden serialization or unreported resources.
Open the machine-readable preregistration · Open the technical report