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BC-IDPR P1: Preregistered Directional Phase Locking in a Frozen Finite Quantum 6j Recoupling Atlas

Alex Malachevsky

Published Jul 17, 2026• 0 citations
Publisher

Abstract

We report the confirmatory stage of a finite, preregistered test of phase-resolved response ina two-channel quantum 6j recoupling model. The upstream construction fixes a regular localq-deformation coordinate, an explicit finite carrier atlas, and analytic recoupling observables.A disjoint calibration stage selected the integer q-curvature mode m = 5 against a matchednoninteger control frequency 9.5. Before any confirmatory family was evaluated, the protocolfroze eight previously unused external-label families, all 106 ordered carriers belonging tothem, a 1101-point deformation grid, a cubic baseline projection, an anchored complex-columnprimary observable, a signed-angular-speed replication observable, exact decision thresholds,and a one-run stop rule.The primary endpoint was positive in all eight families. The median family energy advantage was 0.12716387712459315, compared with the preregistered threshold 0.02; the exact onesided family sign-test value was 1/256 = 0.00390625. The primary family phases were stronglyconcentrated, with R1 = 0.9967284980027259 and R2 = 0.9869553189520441. The frozendecision rule therefore assigned the protocol outcome A_UNIVERSAL_PHASE_LOCK. The replication observable also gave eight positive families, median advantage 0.09240553845217536,and R1 = R2 = 1. It did not participate in outcome assignment. Numerical audits found nohard failure, nonfinite value, residual degeneracy, undefined phase, or anchor-sign failure; thelargest reported orthogonality and evaluator discrepancies were of order 10−15.The controlled conclusion is deliberately narrow: on the frozen finite atlas, at the frozenmode/control pair and under the declared observation protocol, the primary residual phasesexhibit preregistered directional concentration together with positive predictor-over-controlenergy advantage. The result is local in the deformation coordinate and finite in labels. It isnot a theorem for all SU(2)k data, not a pentagon, braiding, or modular-coherence statement,not global gluing, not a large-label or continuum limit, and not evidence of physical timeoscillations, dynamics, mass, matter, or gravity.

DOI
10.5281/zenodo.21409668

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