← W33 Theory

Passes 3687–3693

Five exact continuation fronts plus two architecture-level attacks on the proposed universal computer.

59 / 69

Realized abstract K8 octad patterns, each with an explicit eight-factorization certificate.

55

Only 55 of the 262,144 P57 bridge masks survive the exact local Moore screen; every survivor has weight at most two.

R₊ × Herm₃⁺(C) × R₊

Complete eleven-observable positive-cone classification.

32 exact DAGs

Content-addressed maximum-clique witnesses and independently checkable upper proofs.

0,0,1,3,10

W33-exclusive marked-resolvent signatures through ranks one to five; no Gewirtz-exclusive signatures occur.

3⁸¹ modes

A literal one-photon encoding of 81 independent qutrits requires 443426488243037769948249630619149892803 orthogonal modes. No nontrivial exactly-one-photon code corrects arbitrary total photon loss.

dim u(40)=1600

Full idealized one-photon controllability is generic to any connected 40-mode coupling graph. W33 must win on fault tolerance, routing, calibration, noise, or component overhead.

Exact identifiers

Main semantic certificate: 3ff49c19511ebcf3c9159c1d69f123ae66dd275498c94f501230710634982828

Proof Merkle root: d75cdc80648d7ddf913555f164140bc864087689e4c37e8ba77b0c3f763d9529

All boundaries and reproduction commands are in the repository technical report.