FRC 826. 829 states Fractal Resonance Coherence as a status-labeled mathematical research program. Version 1. 5 restores the canonical scale-invariant relation dS + k* d ln C = 0 and reserves dSₘu + k*ₘu d ln Cₘu = 0 for declared operational realizations. The starred k* is the Boltzmann bridge, not an outcome-fitted constant or evolving state variable. The relation is operational bookkeeping; its physical universality for open systems remains a conjecture. Boundary-relative lambda=-dₑS is admissible when it follows from an explicit accounting convention, but lowercase lambda remains a diagnostic rather than a Lambda field. The paper distinguishes Lambdaₒbs, Lambdaₑq, and optional Lambdadyn from a separate fundamental-field conjecture. Four mathematical results are retained: a two-pole interior band, the conditional forced-cubic coefficient in a non-even coherence expansion, critical slowing, and the exact von Mises identity dS/d ln C=-kappa r. At the information-unit normalization k*₌ₔ䂸₀ₓ=1, kappa r=1 is a stationary point of the system-only Q curve, not a physical zero-current claim without an environment model. Negative information-geometric and half-line results remain visible.
Hadi Servat (Fri,) studied this question.