A Constraint-Modulated Rate Law at the Molecular Scale: Viscosity-to-Dielectric Geometry Transfer in Glass-Forming Liquids

This study reports a cross-observable test of the constraint-modulated rate law (CPA + C) in glass-forming liquids, together with the dated protocols, data, code, results, and provenance behind it. The viscosity-derived CPA + C quantities T_lock and T_ref, and the resulting temperature-dependent constraint curve C_eta(T), were estimated from salol shear-viscosity data, frozen, and carried into a model of independent broadband-dielectric alpha-relaxation with dielectric-specific coupling coefficients. Under the prespecified central protocol, Q2b beat a denominator-only control carrying the same frozen T_lock by delta-AIC 15.48 and delta-AICc 13.19. A post-deposit sensitivity check repeated the comparison at the lower and upper endpoints of the viscosity T_lock bootstrap interval: Q2b remained favored by delta-AIC 12.24 and 14.10 respectively (delta-AICc 9.95 and 11.82). Because Q2b and the control use the same frozen denominator at each tested value, their comparison isolates the contribution of the transferred constraint modulation beyond that denominator. A free dielectric-only CPA+C fit places T_lock at 180.56 K, with a bootstrap median of 184.15 K across 1,000 resamples and a 95% percentile interval of [163.86, 197.54] K. The viscosity estimate, 177.31 K with interval [174.48, 182.52] K, falls inside it. That interval is wide enough to establish compatibility rather than independent recovery, the dielectric data alone do not locate T_lock precisely. Strict single-scale transfer (Q2a) does not beat the denominator-only control, indicating that the constraint geometry transfers while the coupling strength does not, consistent with known viscosity-to-dielectric decoupling. The supported result is therefore cross-observable transfer of the viscosity-derived fitted constraint modulation with dielectric-specific coupling: a modulation constructed from one measurement improves the description of a second, independent measurement of the same material. As a direct description, CPA + C was also fit to dielectric alpha-relaxation in four materials and compared against Vogel-Fulcher-Tammann, MYEGA, and Avramov-Milchev. On the temperature windows wide enough to discriminate models, CPA + C is the best fit for salol, glycerol, and benzophenone and loses to MYEGA for propylene carbonate, which is retained as a boundary case. The central transfer question and Q2 design were identified in Dynamic Present Theory I: Foundations of Continuous Present Actualization (https://doi.org/10.5281/zenodo.20798793) and specified in dated protocol documents before the reported analysis. A result-blind correction to an inherited prefactor bound and the later parameter-bootstrap and endpoint-sensitivity audits are documented separately. These additions did not alter the central datasets, model equations, analysis windows, or central Q2 model-comparison result. The record contains the manuscript and source, a plain-language primer, results and correction notes, the prior-art discussion, dated salol and multi-material protocols, the provenance record, and the data, code, complete bootstrap outputs, and figures needed to reproduce or challenge the reported results.