2335 — Centralizer Fourier Gates Replace the Five-Body D(S3) Sector Pulse
Verdict
The eight sectors are derived from centralizer charge labels for
S3, Z2, and Z3 before target residues are assigned. A six-state
holonomy bus and eight-state label bus compile each controlled power in 45
one-/two-body gates, with four-edge support and exact cleanup. The three
powers cost 135 gates total and do not assume a sector oracle.
An unverified shared-bus fault can still reach data weight four, so arbitrary recovery needs distance nine. A verified cat only improves the control component. Five-rail distance-three encoding of each bus plus twenty interleaved correction cycles conditionally lowers bus spread to one, but the relative-coordinate primitive leaves total weight two and distance five. Fault-transversal logical bus gates and syndrome circuits remain uncompiled.
Durable verification
- Final packet:
research/kitaev/s3-lower-arity-sector-bus-verdict.md - Checker:
python research/kitaev/checkers/check_s3_lower_arity_sector_bus_audit.py - Result:
research/kitaev/results/s3-lower-arity-sector-bus-audit.json - Composition: six digest-bound packets and 40 component gates
- Epistemic graph:
ev-000000003197-ac45e52e-dd41-4ad5-b488-b9eac34c48e8 - Ledger allocation:
seqclaim-a0461aabb4b145121e20cbb0