SG9 complete 50-100 page proton-safety challenge solution - revision 1.0

Role: worked derivation and adversarial execution
Terminal: Actor-conditioned PASS-CONDITIONAL; physical SG9 OPEN
Date: 2026-08-03

Solution move 001 - Challenge statement

Solve whether the frozen geometry forbids proton decay. The response must distinguish the failed legacy projector theorem, valid mediator controls, the added baryon-triality Actor, four-dimensional anomaly arithmetic, the all-order local grading theorem, higher-dimensional debts, and the cumulative physical terminal.

Acceptance test 001. Reproduce the input-to-output transition for Challenge statement without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-001. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 002 - Permitted inputs

Use the cumulative SG8 status and dependency ledger, the frozen 2026-07-17 SG9 public dossier, the declared Standard Model chiral spectrum, and the generated SG9 execution records. Do not import an unlisted UV completion or erase target-known repair history.

Acceptance test 002. Reproduce the input-to-output transition for Permitted inputs without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-002. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 003 - Output contract

A correct solution may return a mixed tuple. It must preserve CLOSED-NEGATIVE for the projector generalization, PASS-CONDITIONAL for local protection given Xi_B3, and OPEN for geometry-only origin, full 13D realization, and physical SG9.

Acceptance test 003. Reproduce the input-to-output transition for Output contract without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-003. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 004 - Object and ruler

The protecting object is a finite grading of the complete accepted operator algebra. The field-level ruler is Z9^(3B); the color-center overlap is quotiented; the gauge-invariant physical action is Z3^(B3). Mixing these groups invalidates the charge comparison.

Acceptance test 004. Reproduce the input-to-output transition for Object and ruler without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-004. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 005 - No-hidden-Actor rule

An Actor introduced after the target was known is construction-anchored. Constraint-derived representation requirements may narrow the repair, but they do not make its existence a prediction of the frozen shape.

Acceptance test 005. Reproduce the input-to-output transition for No-hidden-Actor rule without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-005. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 006 - First-failure discipline

Check object identity, group ruler, operator type, Actor presence, anomaly scope, lifetime wording, and dependency reduction in order. Stop at the first hard failure so later attractive arithmetic cannot repair an earlier category error.

Acceptance test 006. Reproduce the input-to-output transition for First-failure discipline without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-006. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 007 - Freeze the complete question

Operation 1. Ask whether geometry itself forbids proton decay, not merely whether a safe extension can be written. Separate mediator absence, local operator selection, full spectrum, anomaly completion, and empirical confirmation before calculating. Recompute the exact count or congruence from the declared charges before passing this move. Its result belongs only to the named layer; no local equality can silently supply a missing higher-dimensional witness.

Acceptance test 007. Reproduce the input-to-output transition for Freeze the complete question without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-007. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 008 - Retain valid mediator controls

Operation 2. The product gauge algebra contains no simple-group X/Y generator and the declared Higgs inventory has no colored partner. These facts remove familiar renormalizable mediators but do not exclude effective QQQL terms. Recompute the exact count or congruence from the declared charges before passing this move. Its result belongs only to the named layer; no local equality can silently supply a missing higher-dimensional witness.

Acceptance test 008. Reproduce the input-to-output transition for Retain valid mediator controls without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-008. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 009 - Destroy the projector overclaim

Operation 3. Apply the tensor-product projector to QQQL. It returns QQQL rather than zero, proving that one-particle quark-lepton orthogonality is the wrong object for an arbitrary multilinear operator. Recompute the exact count or congruence from the declared charges before passing this move. Its result belongs only to the named layer; no local equality can silently supply a missing higher-dimensional witness.

Acceptance test 009. Reproduce the input-to-output transition for Destroy the projector overclaim without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-009. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 010 - Freeze the repair provenance

Operation 4. Xi_B3 was added after proton safety was the target. Label it CONSTRUCTION-ANCHOR. Minimality among repairs can justify economy, not geometric derivation or nature selection. Recompute the exact count or congruence from the declared charges before passing this move. Its result belongs only to the named layer; no local equality can silently supply a missing higher-dimensional witness.

Acceptance test 010. Reproduce the input-to-output transition for Freeze the repair provenance without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-010. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 011 - Assign integral charges

Operation 5. Use left-handed Weyl charges q9(Q)=1, q9(uc)=q9(dc)=-1 and zero for leptons, Higgs, gauge fields, and the flavor Actor. This is q9=3B mod9. Recompute the exact count or congruence from the declared charges before passing this move. Its result belongs only to the named layer; no local equality can silently supply a missing higher-dimensional witness.

Acceptance test 011. Reproduce the input-to-output transition for Assign integral charges without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-011. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 012 - Derive the anomaly-preserved order

Operation 6. The SU2 instanton contains Nc*Ng=9 quark-doublet zero modes. A surviving lift needs N dividing 9, while a one-baryon state must transform nontrivially so N cannot divide 3. The smallest choice is N=9. Recompute the exact count or congruence from the declared charges before passing this move. Its result belongs only to the named layer; no local equality can silently supply a missing higher-dimensional witness.

Acceptance test 012. Reproduce the input-to-output transition for Derive the anomaly-preserved order without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-012. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 013 - Remove the color-center overlap

Operation 7. beta^3 acts on quarks as the existing color-center generator. Quotient the overlapping Z3^c from Z9^(3B), leaving an independent physical Z3 baryon-triality action on gauge-invariant operators. Recompute the exact count or congruence from the declared charges before passing this move. Its result belongs only to the named layer; no local equality can silently supply a missing higher-dimensional witness.

Acceptance test 013. Reproduce the input-to-output transition for Remove the color-center overlap without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-013. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 014 - Check linear and cubic sums

Operation 8. Per generation, 6-3-3=0 and 6-3-3=0 for q and q cubed. The declared four-dimensional gravitational and pure finite sums vanish exactly. Recompute the exact count or congruence from the declared charges before passing this move. Its result belongs only to the named layer; no local equality can silently supply a missing higher-dimensional witness.

Acceptance test 014. Reproduce the input-to-output transition for Check linear and cubic sums without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-014. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 015 - Check nonabelian mixed sums

Operation 9. The SU3 squared sum is 2-1-1=0 per generation. The SU2 squared sum is Nc*Ng=9, which is zero modulo nine for the lift. Recompute the exact count or congruence from the declared charges before passing this move. Its result belongs only to the named layer; no local equality can silently supply a missing higher-dimensional witness.

Acceptance test 015. Reproduce the input-to-output transition for Check nonabelian mixed sums without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-015. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 016 - Check hypercharge mixed sums

Operation 10. With y=6Y, the qy^2 sum is -54 per generation and -162 for three generations, divisible by nine; q^2y vanishes exactly. Recompute the exact count or congruence from the declared charges before passing this move. Its result belongs only to the named layer; no local equality can silently supply a missing higher-dimensional witness.

Acceptance test 016. Reproduce the input-to-output transition for Check hypercharge mixed sums without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-016. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 017 - State the anomaly ceiling

Operation 11. These calculations certify the four-dimensional declared spectrum conditionally. They do not construct a 13D bulk-boundary finite bundle or a global inflow/cobordism certificate. Recompute the exact count or congruence from the declared charges before passing this move. Its result belongs only to the named layer; no local equality can silently supply a missing higher-dimensional witness.

Acceptance test 017. Reproduce the input-to-output transition for State the anomaly ceiling without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-017. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 018 - Grade the complete local algebra

Operation 12. For any accepted local operator, q9(O)=3 DeltaB mod9. Gauge invariance requires q9=0, hence DeltaB=0 mod3 independently of mass dimension or neutral dressing. Recompute the exact count or congruence from the declared charges before passing this move. Its result belongs only to the named layer; no local equality can silently supply a missing higher-dimensional witness.

Acceptance test 018. Reproduce the input-to-output transition for Grade the complete local algebra without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-018. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 019 - Forbid single-baryon decay

Operation 13. Every DeltaB=plus or minus one local operator carries q9=plus or minus three and is absent. This includes dimension-six cores and all neutral higher-dimensional dressings. Recompute the exact count or congruence from the declared charges before passing this move. Its result belongs only to the named layer; no local equality can silently supply a missing higher-dimensional witness.

Acceptance test 019. Reproduce the input-to-output transition for Forbid single-baryon decay without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-019. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 020 - Forbid DeltaB two

Operation 14. Neutron-antineutron and dinucleon DeltaB=2 operators carry q9=6 and are absent in the same conditional local algebra. Recompute the exact count or congruence from the declared charges before passing this move. Its result belongs only to the named layer; no local equality can silently supply a missing higher-dimensional witness.

Acceptance test 020. Reproduce the input-to-output transition for Forbid DeltaB two without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-020. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 021 - Retain DeltaB three

Operation 15. Electroweak instanton and sphaleron processes change B and L by three and have q9=0. The Actor preserves rather than contradicts this Standard Model nonperturbative selection rule. Recompute the exact count or congruence from the declared charges before passing this move. Its result belongs only to the named layer; no local equality can silently supply a missing higher-dimensional witness.

Acceptance test 021. Reproduce the input-to-output transition for Retain DeltaB three without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-021. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 022 - Check accepted interactions

Operation 16. Quark Yukawas sum to zero triality charge; lepton Yukawas, Majorana masses, and the Weinberg operator have DeltaB=0. Flavor rotations are generation universal and preserve the grading. Recompute the exact count or congruence from the declared charges before passing this move. Its result belongs only to the named layer; no local equality can silently supply a missing higher-dimensional witness.

Acceptance test 022. Reproduce the input-to-output transition for Check accepted interactions without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-022. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 023 - Classify lifetime language

Operation 17. Forbidden channels have zero Wilson coefficient and zero partial width within the accepted conditional theory. No finite number such as 10^36 years is derived; measured lower bounds are consistency checks. Recompute the exact count or congruence from the declared charges before passing this move. Its result belongs only to the named layer; no local equality can silently supply a missing higher-dimensional witness.

Acceptance test 023. Reproduce the input-to-output transition for Classify lifetime language without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-023. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 024 - Run the cumulative reducer

Operation 18. Carry 39 upstream dependencies and nine local interfaces. Internal execution can pass while geometry origin, 13D uplift, reviewer execution, global cutover, and physical SG9 remain OPEN with 48 blockers. Recompute the exact count or congruence from the declared charges before passing this move. Its result belongs only to the named layer; no local equality can silently supply a missing higher-dimensional witness.

Acceptance test 024. Reproduce the input-to-output transition for Run the cumulative reducer without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-024. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 025 - Execution control 01: answer-key commitment

Control 01 tests answer-key commitment on the frozen packet and passed without widening its scope. Address SG9-CONTROL-01 certifies the behavior of the internal harness only. Replay the supplied verifier and match the same label. If it changes, reopen reconstructed execution; do not alter independent analytical identities. A PASS cannot provide geometric Actor origin, full 13D anomaly inflow, omitted-spectrum exhaustion, or external reviewer manifests unless that control explicitly owns the artifact.

Acceptance test 025. Reproduce the input-to-output transition for Execution control 01: answer-key commitment without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-025. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 026 - Execution control 02: six unique adversarial sessions

Control 02 tests six unique adversarial sessions on the frozen packet and passed without widening its scope. Address SG9-CONTROL-02 certifies the behavior of the internal harness only. Replay the supplied verifier and match the same label. If it changes, reopen reconstructed execution; do not alter independent analytical identities. A PASS cannot provide geometric Actor origin, full 13D anomaly inflow, omitted-spectrum exhaustion, or external reviewer manifests unless that control explicitly owns the artifact.

Acceptance test 026. Reproduce the input-to-output transition for Execution control 02: six unique adversarial sessions without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-026. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 027 - Execution control 03: session-order and key coverage

Control 03 tests session-order and key coverage on the frozen packet and passed without widening its scope. Address SG9-CONTROL-03 certifies the behavior of the internal harness only. Replay the supplied verifier and match the same label. If it changes, reopen reconstructed execution; do not alter independent analytical identities. A PASS cannot provide geometric Actor origin, full 13D anomaly inflow, omitted-spectrum exhaustion, or external reviewer manifests unless that control explicitly owns the artifact.

Acceptance test 027. Reproduce the input-to-output transition for Execution control 03: session-order and key coverage without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-027. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 028 - Execution control 04: escrow coverage

Control 04 tests escrow coverage on the frozen packet and passed without widening its scope. Address SG9-CONTROL-04 certifies the behavior of the internal harness only. Replay the supplied verifier and match the same label. If it changes, reopen reconstructed execution; do not alter independent analytical identities. A PASS cannot provide geometric Actor origin, full 13D anomaly inflow, omitted-spectrum exhaustion, or external reviewer manifests unless that control explicitly owns the artifact.

Acceptance test 028. Reproduce the input-to-output transition for Execution control 04: escrow coverage without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-028. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 029 - Execution control 05: manifest hashes

Control 05 tests manifest hashes on the frozen packet and passed without widening its scope. Address SG9-CONTROL-05 certifies the behavior of the internal harness only. Replay the supplied verifier and match the same label. If it changes, reopen reconstructed execution; do not alter independent analytical identities. A PASS cannot provide geometric Actor origin, full 13D anomaly inflow, omitted-spectrum exhaustion, or external reviewer manifests unless that control explicitly owns the artifact.

Acceptance test 029. Reproduce the input-to-output transition for Execution control 05: manifest hashes without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-029. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 030 - Execution control 06: witness hashes

Control 06 tests witness hashes on the frozen packet and passed without widening its scope. Address SG9-CONTROL-06 certifies the behavior of the internal harness only. Replay the supplied verifier and match the same label. If it changes, reopen reconstructed execution; do not alter independent analytical identities. A PASS cannot provide geometric Actor origin, full 13D anomaly inflow, omitted-spectrum exhaustion, or external reviewer manifests unless that control explicitly owns the artifact.

Acceptance test 030. Reproduce the input-to-output transition for Execution control 06: witness hashes without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-030. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 031 - Execution control 07: all witnesses recomputed

Control 07 tests all witnesses recomputed on the frozen packet and passed without widening its scope. Address SG9-CONTROL-07 certifies the behavior of the internal harness only. Replay the supplied verifier and match the same label. If it changes, reopen reconstructed execution; do not alter independent analytical identities. A PASS cannot provide geometric Actor origin, full 13D anomaly inflow, omitted-spectrum exhaustion, or external reviewer manifests unless that control explicitly owns the artifact.

Acceptance test 031. Reproduce the input-to-output transition for Execution control 07: all witnesses recomputed without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-031. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 032 - Execution control 08: opened-key comparison

Control 08 tests opened-key comparison on the frozen packet and passed without widening its scope. Address SG9-CONTROL-08 certifies the behavior of the internal harness only. Replay the supplied verifier and match the same label. If it changes, reopen reconstructed execution; do not alter independent analytical identities. A PASS cannot provide geometric Actor origin, full 13D anomaly inflow, omitted-spectrum exhaustion, or external reviewer manifests unless that control explicitly owns the artifact.

Acceptance test 032. Reproduce the input-to-output transition for Execution control 08: opened-key comparison without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-032. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 033 - Execution control 09: incumbent and innocent repair survive

Control 09 tests incumbent and innocent repair survive on the frozen packet and passed without widening its scope. Address SG9-CONTROL-09 certifies the behavior of the internal harness only. Replay the supplied verifier and match the same label. If it changes, reopen reconstructed execution; do not alter independent analytical identities. A PASS cannot provide geometric Actor origin, full 13D anomaly inflow, omitted-spectrum exhaustion, or external reviewer manifests unless that control explicitly owns the artifact.

Acceptance test 033. Reproduce the input-to-output transition for Execution control 09: incumbent and innocent repair survive without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-033. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 034 - Execution control 10: wrong-object projector decoy

Control 10 tests wrong-object projector decoy on the frozen packet and passed without widening its scope. Address SG9-CONTROL-10 certifies the behavior of the internal harness only. Replay the supplied verifier and match the same label. If it changes, reopen reconstructed execution; do not alter independent analytical identities. A PASS cannot provide geometric Actor origin, full 13D anomaly inflow, omitted-spectrum exhaustion, or external reviewer manifests unless that control explicitly owns the artifact.

Acceptance test 034. Reproduce the input-to-output transition for Execution control 10: wrong-object projector decoy without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-034. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 035 - Execution control 11: generic SMEFT unsafe control

Control 11 tests generic SMEFT unsafe control on the frozen packet and passed without widening its scope. Address SG9-CONTROL-11 certifies the behavior of the internal harness only. Replay the supplied verifier and match the same label. If it changes, reopen reconstructed execution; do not alter independent analytical identities. A PASS cannot provide geometric Actor origin, full 13D anomaly inflow, omitted-spectrum exhaustion, or external reviewer manifests unless that control explicitly owns the artifact.

Acceptance test 035. Reproduce the input-to-output transition for Execution control 11: generic SMEFT unsafe control without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-035. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 036 - Execution control 12: Z9 lift and Z3 quotient ruler

Control 12 tests Z9 lift and Z3 quotient ruler on the frozen packet and passed without widening its scope. Address SG9-CONTROL-12 certifies the behavior of the internal harness only. Replay the supplied verifier and match the same label. If it changes, reopen reconstructed execution; do not alter independent analytical identities. A PASS cannot provide geometric Actor origin, full 13D anomaly inflow, omitted-spectrum exhaustion, or external reviewer manifests unless that control explicitly owns the artifact.

Acceptance test 036. Reproduce the input-to-output transition for Execution control 12: Z9 lift and Z3 quotient ruler without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-036. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 037 - Execution control 13: 4D anomaly arithmetic

Control 13 tests 4D anomaly arithmetic on the frozen packet and passed without widening its scope. Address SG9-CONTROL-13 certifies the behavior of the internal harness only. Replay the supplied verifier and match the same label. If it changes, reopen reconstructed execution; do not alter independent analytical identities. A PASS cannot provide geometric Actor origin, full 13D anomaly inflow, omitted-spectrum exhaustion, or external reviewer manifests unless that control explicitly owns the artifact.

Acceptance test 037. Reproduce the input-to-output transition for Execution control 13: 4D anomaly arithmetic without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-037. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 038 - Execution control 14: mixed SU2 congruence

Control 14 tests mixed SU2 congruence on the frozen packet and passed without widening its scope. Address SG9-CONTROL-14 certifies the behavior of the internal harness only. Replay the supplied verifier and match the same label. If it changes, reopen reconstructed execution; do not alter independent analytical identities. A PASS cannot provide geometric Actor origin, full 13D anomaly inflow, omitted-spectrum exhaustion, or external reviewer manifests unless that control explicitly owns the artifact.

Acceptance test 038. Reproduce the input-to-output transition for Execution control 14: mixed SU2 congruence without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-038. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 039 - Execution control 15: mixed hypercharge congruences

Control 15 tests mixed hypercharge congruences on the frozen packet and passed without widening its scope. Address SG9-CONTROL-15 certifies the behavior of the internal harness only. Replay the supplied verifier and match the same label. If it changes, reopen reconstructed execution; do not alter independent analytical identities. A PASS cannot provide geometric Actor origin, full 13D anomaly inflow, omitted-spectrum exhaustion, or external reviewer manifests unless that control explicitly owns the artifact.

Acceptance test 039. Reproduce the input-to-output transition for Execution control 15: mixed hypercharge congruences without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-039. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 040 - Execution control 16: all-order DeltaB grading

Control 16 tests all-order DeltaB grading on the frozen packet and passed without widening its scope. Address SG9-CONTROL-16 certifies the behavior of the internal harness only. Replay the supplied verifier and match the same label. If it changes, reopen reconstructed execution; do not alter independent analytical identities. A PASS cannot provide geometric Actor origin, full 13D anomaly inflow, omitted-spectrum exhaustion, or external reviewer manifests unless that control explicitly owns the artifact.

Acceptance test 040. Reproduce the input-to-output transition for Execution control 16: all-order DeltaB grading without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-040. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 041 - Execution control 17: DeltaB3 sphaleron compatibility

Control 17 tests DeltaB3 sphaleron compatibility on the frozen packet and passed without widening its scope. Address SG9-CONTROL-17 certifies the behavior of the internal harness only. Replay the supplied verifier and match the same label. If it changes, reopen reconstructed execution; do not alter independent analytical identities. A PASS cannot provide geometric Actor origin, full 13D anomaly inflow, omitted-spectrum exhaustion, or external reviewer manifests unless that control explicitly owns the artifact.

Acceptance test 041. Reproduce the input-to-output transition for Execution control 17: DeltaB3 sphaleron compatibility without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-041. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 042 - Execution control 18: Majorana and Yukawa compatibility

Control 18 tests Majorana and Yukawa compatibility on the frozen packet and passed without widening its scope. Address SG9-CONTROL-18 certifies the behavior of the internal harness only. Replay the supplied verifier and match the same label. If it changes, reopen reconstructed execution; do not alter independent analytical identities. A PASS cannot provide geometric Actor origin, full 13D anomaly inflow, omitted-spectrum exhaustion, or external reviewer manifests unless that control explicitly owns the artifact.

Acceptance test 042. Reproduce the input-to-output transition for Execution control 18: Majorana and Yukawa compatibility without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-042. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 043 - Execution control 19: lifetime wording firewall

Control 19 tests lifetime wording firewall on the frozen packet and passed without widening its scope. Address SG9-CONTROL-19 certifies the behavior of the internal harness only. Replay the supplied verifier and match the same label. If it changes, reopen reconstructed execution; do not alter independent analytical identities. A PASS cannot provide geometric Actor origin, full 13D anomaly inflow, omitted-spectrum exhaustion, or external reviewer manifests unless that control explicitly owns the artifact.

Acceptance test 043. Reproduce the input-to-output transition for Execution control 19: lifetime wording firewall without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-043. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 044 - Execution control 20: full-13D scope firewall

Control 20 tests full-13D scope firewall on the frozen packet and passed without widening its scope. Address SG9-CONTROL-20 certifies the behavior of the internal harness only. Replay the supplied verifier and match the same label. If it changes, reopen reconstructed execution; do not alter independent analytical identities. A PASS cannot provide geometric Actor origin, full 13D anomaly inflow, omitted-spectrum exhaustion, or external reviewer manifests unless that control explicitly owns the artifact.

Acceptance test 044. Reproduce the input-to-output transition for Execution control 20: full-13D scope firewall without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-044. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 045 - Execution control 21: cumulative dependency and reviewer status

Control 21 tests cumulative dependency and reviewer status on the frozen packet and passed without widening its scope. Address SG9-CONTROL-21 certifies the behavior of the internal harness only. Replay the supplied verifier and match the same label. If it changes, reopen reconstructed execution; do not alter independent analytical identities. A PASS cannot provide geometric Actor origin, full 13D anomaly inflow, omitted-spectrum exhaustion, or external reviewer manifests unless that control explicitly owns the artifact.

Acceptance test 045. Reproduce the input-to-output transition for Execution control 21: cumulative dependency and reviewer status without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-045. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 046 - Sealed-session replay 01: claims-shrunk-incumbent

Open session-4da3db32244e61b4dc31 at replay position 1 after commitments are fixed. Its role is INCUMBENT. Ordered evaluation returns PASS with first failure NONE, matching the witness and opened key. The session tests a specific false-positive route; it is part of an internally reconstructed adversarial shelf, not an independent reviewer-issued trial.

Acceptance test 046. Reproduce the input-to-output transition for Sealed-session replay 01: claims-shrunk-incumbent without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-046. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 047 - Sealed-session replay 02: provenance-clean-conditional-repair

Open session-2bdc5e5cd44a350babde at replay position 2 after commitments are fixed. Its role is INNOCENT-ADMISSIBLE-REPAIR. Ordered evaluation returns PASS with first failure NONE, matching the witness and opened key. The session tests a specific false-positive route; it is part of an internally reconstructed adversarial shelf, not an independent reviewer-issued trial.

Acceptance test 047. Reproduce the input-to-output transition for Sealed-session replay 02: provenance-clean-conditional-repair without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-047. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 048 - Sealed-session replay 03: projector-only-universal-no-go

Open session-0226ddfd1c0b0b29781f at replay position 3 after commitments are fixed. Its role is DECOY. Ordered evaluation returns FAIL with first failure SG9-GNT-03, matching the witness and opened key. The session tests a specific false-positive route; it is part of an internally reconstructed adversarial shelf, not an independent reviewer-issued trial.

Acceptance test 048. Reproduce the input-to-output transition for Sealed-session replay 03: projector-only-universal-no-go without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-048. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 049 - Sealed-session replay 04: generic-SMEFT-called-safe

Open session-17e51b2f278a95aec9c2 at replay position 4 after commitments are fixed. Its role is DECOY. Ordered evaluation returns FAIL with first failure SG9-GNT-04, matching the witness and opened key. The session tests a specific false-positive route; it is part of an internally reconstructed adversarial shelf, not an independent reviewer-issued trial.

Acceptance test 049. Reproduce the input-to-output transition for Sealed-session replay 04: generic-SMEFT-called-safe without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-049. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 050 - Sealed-session replay 05: 4D-anomaly-ledger-called-full-13D

Open session-44ca9344d2015d379db1 at replay position 5 after commitments are fixed. Its role is DECOY. Ordered evaluation returns FAIL with first failure SG9-GNT-05, matching the witness and opened key. The session tests a specific false-positive route; it is part of an internally reconstructed adversarial shelf, not an independent reviewer-issued trial.

Acceptance test 050. Reproduce the input-to-output transition for Sealed-session replay 05: 4D-anomaly-ledger-called-full-13D without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-050. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 051 - Sealed-session replay 06: invented-finite-lifetime

Open session-5605d8ac93a71193b60b at replay position 6 after commitments are fixed. Its role is DECOY. Ordered evaluation returns FAIL with first failure SG9-GNT-06, matching the witness and opened key. The session tests a specific false-positive route; it is part of an internally reconstructed adversarial shelf, not an independent reviewer-issued trial.

Acceptance test 051. Reproduce the input-to-output transition for Sealed-session replay 06: invented-finite-lifetime without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-051. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 052 - Closure interface 01: SG9-L01

SG9-L01 remains OPEN: Geometric origin of the baryon-triality Actor. Xi_B3 is a post-question construction Actor; no target-blind map derives its finite bundle and charge action from the frozen shape. Discharge requires the named artifact, frozen authority, destructive controls, independent verification, and cumulative replay. Until then this row combines with 39 inherited dependencies to keep physical SG9 OPEN.

Acceptance test 052. Reproduce the input-to-output transition for Closure interface 01: SG9-L01 without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-052. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 053 - Closure interface 02: SG9-L02

SG9-L02 remains OPEN: Full 13D bulk-boundary finite-gauge uplift. The four-dimensional charge ledger does not construct the complete 13D topological bundle, boundary conditions, and descended operator action. Discharge requires the named artifact, frozen authority, destructive controls, independent verification, and cumulative replay. Until then this row combines with 39 inherited dependencies to keep physical SG9 OPEN.

Acceptance test 053. Reproduce the input-to-output transition for Closure interface 02: SG9-L02 without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-053. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 054 - Closure interface 03: SG9-L03

SG9-L03 remains OPEN: Discrete anomaly inflow and global certificate. Perturbative four-dimensional congruence sums are supplied, but a full bulk-boundary determinant-line or cobordism/inflow witness is absent. Discharge requires the named artifact, frozen authority, destructive controls, independent verification, and cumulative replay. Until then this row combines with 39 inherited dependencies to keep physical SG9 OPEN.

Acceptance test 054. Reproduce the input-to-output transition for Closure interface 03: SG9-L03 without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-054. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 055 - Closure interface 04: SG9-L04

SG9-L04 remains OPEN: Complete charged Actor and lighter-state inventory. Exact proton stability requires proof that no omitted lighter state carries the proton’s nontrivial triality charge. Discharge requires the named artifact, frozen authority, destructive controls, independent verification, and cumulative replay. Until then this row combines with 39 inherited dependencies to keep physical SG9 OPEN.

Acceptance test 055. Reproduce the input-to-output transition for Closure interface 04: SG9-L04 without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-055. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 056 - Closure interface 05: SG9-L05

SG9-L05 remains OPEN: All-scale local, nonlocal, boundary, and gravitational operator closure. The local graded algebra is exact given the Actor, but nonlocal defects, boundary insertions, topology change, and quantum-gravity completion are not exhaustively owned. Discharge requires the named artifact, frozen authority, destructive controls, independent verification, and cumulative replay. Until then this row combines with 39 inherited dependencies to keep physical SG9 OPEN.

Acceptance test 056. Reproduce the input-to-output transition for Closure interface 05: SG9-L05 without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-056. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 057 - Closure interface 06: SG9-L06

SG9-L06 remains OPEN: Full KK matter and bulk-scalar mediator spectrum. The gauge-harmonic triplet no-go does not by itself enumerate colored matter-bundle or bulk-scalar mediators at every KK level. Discharge requires the named artifact, frozen authority, destructive controls, independent verification, and cumulative replay. Until then this row combines with 39 inherited dependencies to keep physical SG9 OPEN.

Acceptance test 057. Reproduce the input-to-output transition for Closure interface 06: SG9-L06 without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-057. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 058 - Closure interface 07: SG9-L07

SG9-L07 remains OPEN: Prospective target-blind proton-safety holdout. The Actor was introduced with proton stability already known; existing lifetime limits are consistency checks, not blind confirmation. Discharge requires the named artifact, frozen authority, destructive controls, independent verification, and cumulative replay. Until then this row combines with 39 inherited dependencies to keep physical SG9 OPEN.

Acceptance test 058. Reproduce the input-to-output transition for Closure interface 07: SG9-L07 without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-058. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 059 - Closure interface 08: SG9-L08

SG9-L08 remains OPEN: Independent reviewer-randomized SG9 gauntlet. The supplied adversarial sessions are internally reconstructed; independent manifests, escrow, and opened reviewer key remain NOT-EVALUATED. Discharge requires the named artifact, frozen authority, destructive controls, independent verification, and cumulative replay. Until then this row combines with 39 inherited dependencies to keep physical SG9 OPEN.

Acceptance test 059. Reproduce the input-to-output transition for Closure interface 08: SG9-L08 without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-059. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 060 - Closure interface 09: SG9-L09

SG9-L09 remains OPEN: Global board cutover and downstream replay. The successor package shrinks claims locally; owner ratification, website replacement, and replay of all SG9 consumers are not claimed. Discharge requires the named artifact, frozen authority, destructive controls, independent verification, and cumulative replay. Until then this row combines with 39 inherited dependencies to keep physical SG9 OPEN.

Acceptance test 060. Reproduce the input-to-output transition for Closure interface 09: SG9-L09 without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-060. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 061 - Hostile variant: omit the Actor

Remove Xi_B3 while keeping the Standard Model field content. Gauge-invariant dimension-six baryon-violating operators are then allowed by the generic SMEFT grammar. Geometry and projector orthogonality do not set their coefficients to zero, so unconditional safety fails.

Acceptance test 061. Reproduce the input-to-output transition for Hostile variant: omit the Actor without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-061. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 062 - Hostile variant: promote 4D sums

Keep every four-dimensional anomaly congruence but delete the bulk-boundary uplift and inflow witness. The local ledger still passes conditionally while the full 13D claim remains OPEN. This destructive control enforces BB-DGA-1.

Acceptance test 062. Reproduce the input-to-output transition for Hostile variant: promote 4D sums without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-062. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 063 - Hostile variant: invent a lifetime

Translate the exact forbidden-channel rule into a finite 10^36-year prediction without a nonzero coefficient, mediator mass, or hadronic matrix element. The claim fails. The lawful conditional output is zero partial width for forbidden channels, not a fitted finite lifetime.

Acceptance test 063. Reproduce the input-to-output transition for Hostile variant: invent a lifetime without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-063. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 064 - Synthesis

The legacy universal projector argument fails on QQQL, but the mediator and gauge-harmonic negative controls remain useful. Given the construction-anchored Z9 lift and physical Z3 baryon-triality quotient, the complete accepted local algebra obeys DeltaB=0 mod3. Four-dimensional anomaly sums pass; full 13D uplift and physical closure do not.

Acceptance test 064. Reproduce the input-to-output transition for Synthesis without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-064. Verify premise, operation, result, provenance, and scope before continuing.

Solution move 065 - Final answer

Final answer: the frozen geometry alone has not been shown to forbid proton decay. The legacy projector-only all-operator no-go is CLOSED-NEGATIVE. Given Xi_B3, DeltaB=1 and 2 local operators are forbidden at every mass dimension and proton safety is PASS-CONDITIONAL. The Actor is a CONSTRUCTION-ANCHOR; full 13D uplift, global anomaly inflow, complete-spectrum exhaustion, reviewer execution, and physical SG9 remain OPEN with 48 blockers. No finite proton lifetime and no nature-selection claim are made.

Acceptance test 065. Reproduce the input-to-output transition for Final answer without changing the Actor inventory, group ruler, target-known history, anomaly scope, or dependency state. Then try the nearest false-positive variant and stop at its first violated rule. This move advances the chain only at its declared layer; it supplies no evidence for a different layer by analogy.

Move audit tag: SG9-SOLUTION-MOVE-065. Verify premise, operation, result, provenance, and scope before continuing.