Resource Coupling Does Not Produce Direction-Specific Closure-Epoch Reachability

Two prior closure-epoch audits found that latent perturbation covariance did not preferentially reach a reference trace's own structural identity under all-trace or exclusive-trace replay. Here we activate the simulator's one coded cross-branch channel, translation_budget, while leaving the oracle latent protocol unchanged. The cap binds on 17–100% of closure-epoch steps at the active swept values, introduces off-diagonal translation-readiness Jacobian terms, and has an exact proportional-perturbation null direction. This singularity does not make the declared metrics undefined: reduced-rank covariance calibration remains valid and passes at the primary active value, while the desired/false structural-accessibility ratio remains near one (0.996–1.000 analytically; 0.937–1.010 across Monte Carlo seeds), far below the preregistered 1.5 threshold. Gate RC therefore fails its primary direction-specificity criterion under this protocol, while also revealing a structural weakness of the coded coupling operator. Rank deficiency is a diagnostic, not a veto of calibration. This is an oracle-level result about one simulator mechanism, not a biological resource-budget claim, a revision of Gate R/RD, or an NDT-macro result.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-08-28
DOI
https://doi.org/10.5281/zenodo.22143240
Primary Topic
Protein Structure and Dynamics
Type
preprint
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preprint

Resource Coupling Does Not Produce Direction-Specific Closure-Epoch Reachability

Robin Langell
Zenodo (CERN European Organization for Nuclear Research)
Protein Structure and Dynamics
preprint

Resource Coupling Does Not Produce Direction-Specific Closure-Epoch Reachability

Robin Langell
preprint en

Abstract

Two prior closure-epoch audits found that latent perturbation covariance did not preferentially reach a reference trace's own structural identity under all-trace or exclusive-trace replay. Here we activate the simulator's one coded cross-branch channel, translation_budget, while leaving the oracle latent protocol unchanged. The cap binds on 17–100% of closure-epoch steps at the active swept values, introduces off-diagonal translation-readiness Jacobian terms, and has an exact proportional-perturbation null direction. This singularity does not make the declared metrics undefined: reduced-rank covariance calibration remains valid and passes at the primary active value, while the desired/false structural-accessibility ratio remains near one (0.996–1.000 analytically; 0.937–1.010 across Monte Carlo seeds), far below the preregistered 1.5 threshold. Gate RC therefore fails its primary direction-specificity criterion under this protocol, while also revealing a structural weakness of the coded coupling operator. Rank deficiency is a diagnostic, not a veto of calibration. This is an oracle-level result about one simulator mechanism, not a biological resource-budget claim, a revision of Gate R/RD, or an NDT-macro result.

Zenodo (CERN European Organization for Nuclear Research)
Kemakta Konsult (SE)
Protein Structure and Dynamics
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Resource Coupling Does Not Produce Direction-Specific Closure-Epoch Reachability — Robin Langell · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS