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FRC-566-001 · v2.2

Entropy-Coherence Reciprocity and the Universal Coherence Condition v2.2

H. Servat2026-07-095 minFRC 566 seriesFoundationalμ1 Physical / atomic
Concept DOI10.5281/zenodo.17437758DOI10.5281/zenodo.21298181PDFDownload
ReciprocityEntropyCoherencescale-invarianceuccthermodynamicsOpen systemsinformation-theory

Reading status

Current statement

The canonical 566 law remains dS + k* d ln C = 0. Indexed notation belongs to operational realizations; residuals diagnose a declared boundary and do not replace the law.

Evidence level

Living core preprint

preprint

Declared μ register

μ1 · Physical / atomic

Atoms, fields, quantum systems, thermodynamics, and other physical observables.

Open boundary

The universal physical extension remains conjectural beyond declared bookkeeping.

Version lineage

Supersedes: FRC 566.001 v2.1

On this page
FRC 566.001 states entropy-coherence reciprocity in its canonical scale-invariant form dS + k* d ln C = 0. The starred Boltzmann bridge k* is not an ordinary tunable constant and is never fitted to an outcome or evolving state. Experiments and computations instantiate the same law at a declared register mu as dS_mu + k*_mu d ln C_mu = 0, with explicit entropy channel, coherence channel, units, and boundary. FRC uses the relation operationally as bookkeeping and proposes its open-system physical extension as a conjecture. Standard entropy production remains non-negative, but no toy closure is promoted into a universal directional replacement. The exact von Mises calculation and the Langevin boundary probe remain scoped results. The corrected information projection is retained: C[q]/C[p] depends on the entropy difference, not generally on D_KL(p||q), and C_XY = C_X C_Y exp(+I/k*).
Cover art for FRC-566-001: Entropy-Coherence Reciprocity and the Universal Coherence Condition v2.2

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