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R12 Cross-Domain Fault-Channel Review Result

Decision: the combined 0/3 no-go is rejected. Replication and pure invertible transport retain narrow no-go results; globally enforced algebraic relations uniquely repair the frozen missing transition and reopen only a resource-counted learnability hypothesis.

R12_CROSS_DOMAIN_FAULT_CHANNEL_REVIEW_RESULT.mdOpen original Markdown ↗

R12 Cross-Domain Fault-Channel Review Result

Decision: the combined 0/3 no-go is rejected. Replication and pure invertible transport retain narrow no-go results; globally enforced algebraic relations uniquely repair the frozen missing transition and reopen only a resource-counted learnability hypothesis.

Frozen reviewed tuple

ObjectSHA-256
R12_CROSS_DOMAIN_FAULT_CHANNEL_NO_GO.mdd4d8e86adf4ba221bdf6d8505de58a1454d41f034034a62d69c62f388d4f9c28
pipeline/cross_domain_fault_channel_falsifier.py6e54efa74e96e0a9ef2c42a078e04697a9e4395fe5166710ef972ae1630089e5
pipeline/test_cross_domain_fault_channel_falsifier.pyab76e090215298d9261f07acaf61a3aa6cdfe7ee9bf179a27f04b199211a2dfc
scratchpad/cross_domain_fault_channel_no_go_v1.jsone410b256e5040382c5afd0875db6e72d39cd2fc359892063df2350bc473fff75

The report is byte-reproducible and its embedded payload SHA-256 is 821bbf3850553beb3836884e18951fdaaed70303c851e39d4add871625a1d3a1. Five tests, Ruff, and py_compile pass. Ruff format check does not pass for the frozen source, which remains unmodified.

Candidate A: triadic efference commit

The frozen board correctly shows 12/12 recovery cases with one independently flipped lane and 4/4 failures when all lanes share the same wrong semantic action. This is a repetition code after semantic selection. It supports only the narrow statement that majority replication cannot repair a common-mode wrong program. It does not test whether heterogeneous learners can decorrelate their semantic errors.

Candidate B: reversible transport

The finite F_5 board correctly performs 6,000 state/error/step comparisons with zero contractions. A pure bijection cannot merge a perturbed state back into the clean state without a noninvertible decoder or extra provenance. The board does not test a learned observer, invariant, ancilla, syndrome extractor, or Bayesian temporal estimator, so broader robustness and learnability claims are rejected.

Candidate C: relation-syndrome atlas

The frozen no-go is invalid. Its wrong patch is tested against the eleven admitted transitions but not against the globally applied relations it claims to preserve. Independent enumeration found five global relation violations. Of all six possible missing successors, only the canonical successor satisfies s^2, t^2, and sts=tst at every state. The already-known reverse s edge also forces the missing edge through involution.

The patch passes the three relators only when they are checked from the identity. This is evidence that identity-only cycle checks are insufficient, not evidence that a globally constrained relation atlas cannot complete a missing transition.

Resource boundary

The frozen report's surviving_advantage fields and combined 0/3 conclusion are literals. It does not count parameters, labeled examples, retained bits, FLOPs, or learning curves. Functional equivalence to a recurrence does not by itself reject a learnability or data-efficiency advantage.

The only reopened question is whether global relation-syndrome supervision has a matched sample-efficiency or scale-extrapolation advantage over endpoint-only training and a favorable relation-aware tied recurrence. That requires a new frozen theory, exact resource ledger, exhaustive CPU collapse test, and fresh independent review.

Gate table

GateDecision
Fault-neighborhood exact-recovery lemmaGO, narrow
Replication-code common-mode no-goGO, narrow
Pure invertible state-only correction no-goGO, narrow
Relation-atlas no-goNO-GO
Combined 0/3 reportNO-GO
New resource-counted relation hypothesistheory/CPU repair only
Neural source / data / fitting / H100NO-GO
Shohin reasoning or novelty claimNO-GO