R12 S3 Equivariant Local Action Preregistration

Status: closed after the one-shot v1.1 development run; partial recovery, frozen gates failed, no confirmation authorized.

Claim class: bounded architectural repair of rejected S3 v1 on public source-deleted execution development. External schedule and halt remain.

Falsified v1 contract

S3 v1 had exact categorical state and 100% gold identity match but only 66.260% two-step transitions. Its unrestricted transition MLP received the complete assignment matrix and immutable identity. Atomic training showed that MLP only the identity assignment, so the second recurrent call was a coordinate-frame OOD input.

Sole repair

The v1.1 transition law receives only:

• the categorical entity's exact current location, computed as register times immutable identity;
• operation kind features; and
• amount features.

It cannot access the full assignment or immutable identity. Therefore two globally different assignments that place their respective target entities at the same location and have the same operation must produce bit-identical transition logits. The six-state hard-forward S3 register, compiler, packet, query consumer, training data, seed, updates, width, optimizer, and every score gate remain unchanged.

The local variables cover the complete finite action table: three locations x two directions x two amounts. Atomic training contains every cell. Recurrent composition is now a repeated equivariant group action rather than an OOD matrix input.

Frozen custody and gates

• 710,411 executor parameters / 134,399,961 total parameters;
• 96,000 public rows / 192,000 independent atomic targets / one epoch / 1,517 updates / batch 64 / seed 2026071903;
• gold categorical identity only during training;
• mean identity primary; ordered/gold favorable ceilings;
• exact same two-step, lexical-OOD, depth-3--8 data and thresholds in R12_S3_CATEGORICAL_REGISTER_PREREG.md;
• one H100 job, one fit, no retry, sweep, extra epoch, width, data, composed supervision, confirmation access, or threshold change.

Failure rejects equivariant S3. Passing authorizes only a fresh independently seeded confirmation. It does not establish autonomous planning, learned halt, free-form language reasoning, or novelty.

Closure

Job 693131 completed once on H100 evc25, exit 0:0. Two-step mean execution recovered to 99.463% answers, 99.854% exact state, and 99.854% all transitions. On depth 3--8, however, mean identity reached only 84.180% answers / 80.713% exact state / 60.059% all transitions; even gold identity reached only 87.109% / 84.912% / 66.895%. The frozen long-state, long-chain, gold-ceiling, and attribution gates fail. See R12_S3_EQUIVARIANT_LOCAL_ACTION_RESULT.md. No confirmation is authorized.