{"compile":"2026-10-10","canonical":"https://aaronspradlin.grok.me/wiki/v1575-affine","json":"https://aaronspradlin.grok.me/page.json?slug=v1575-affine","license":"Source-available for noncommercial research and evaluation only. No commercial, product, platform, or service use without written permission.","scientific_breakthrough":false,"slug":"v1575-affine","title":"v15.75 two affine verdicts","dek":"Research branch only. Not merged to main. Open-state affine null confirmed. A separate CPTP channel is null only at its frozen reference. Do not merge the two verdicts.","updated":"2026-09-27","status":"result","claim":"restricted","tags":["v15.75","research-branch","CPTP"],"related":["v1576-cptp","v1577-baseline","research-ladder","live-gates","falsification"],"packages":[{"id":"uqcf-gem-v13","name":"ResearchHistory/UQCF-GEM (v13–v14)","path":"ResearchHistory/UQCF-GEM","status":"restricted"}],"notes":[],"claims":[{"id":"atlas:v15-75-open","status":"restricted","text":"Primary: AFFINE_OPEN_NULL_RETAINED_CLOSED_CONFIRMED. Across twelve frozen states the retained-output tangent map has rank 36 for both pre-Sylvester skew Q and rotation E. No common nonzero retained tangent lies in both kernels. For a fixed affine law, open-state rotational nullity forces the linear part to preserve the hidden tangent sector. The finite stack is a numerical witness of the analytic statement, not a substitute for it."},{"id":"atlas:v15-75-pointwise","status":"restricted","text":"Secondary: CPTP_POINTWISE_NULL_ONLY_CONFIRMED. One fixed CPTP affine channel, Phi(z)=Tr(z)I/8+.01 Tr(XXX z)Y_ref, has nonzero symmetric retained leakage and null rotation at its frozen anchor. The same channel is visible on the other eleven states. ONLY distinguishes that anchor from this ensemble. It does not say the anchor is the unique null in the full state space. The channel is a counterexample, not a source law derived from recoverability."}],"text":"Published 27 Sep 2026 on research/v15.75-affine-open-null (07170c00). RESULTS.md says no merge to main. This is the parent of v15.76. An infinitesimal null is not finite-strength rotational invariance. scientific_breakthrough: false. Pillar 3 OPEN.\n\nPrimary: AFFINE_OPEN_NULL_RETAINED_CLOSED_CONFIRMED. Across twelve frozen states the retained-output tangent map has rank 36 for both pre-Sylvester skew Q and rotation E. No common nonzero retained tangent lies in both kernels. For a fixed affine law, open-state rotational nullity forces the linear part to preserve the hidden tangent sector. The finite stack is a numerical witness of the analytic statement, not a substitute for it.\n\nSecondary: CPTP_POINTWISE_NULL_ONLY_CONFIRMED. One fixed CPTP affine channel, Phi(z)=Tr(z)I/8+.01 Tr(XXX z)Y_ref, has nonzero symmetric retained leakage and null rotation at its frozen anchor. The same channel is visible on the other eleven states. ONLY distinguishes that anchor from this ensemble. It does not say the anchor is the unique null in the full state space. The channel is a counterexample, not a source law derived from recoverability.\n\nDoes not show gravity, fundamental time, a source-to-admissible-world law, or a new matter primitive.\nDoes not classify CP constraints inside the hidden-preserving class, and does not cover state-dependent nonlinear laws as fixed affine maps.\nDoes not claim finite-composition invariance. That question is v15.76.\nGenesis Pin remains a ledger, not a selector.\n\nRESULTS.md (branch)\nv15.76 composition\nResearch ladder","howToCite":"Spradlin, A. (2026-10-10). v15.75 two affine verdicts. Retained Atlas. https://aaronspradlin.grok.me/wiki/v1575-affine. Keep claim badge: restricted."}