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FRC-566-030 · v1.3

Reciprocity in Action v1.3: Exact System-Only Motion and a Scoped Boundary Test

H. Servat2026-07-094 minFRC 566 seriesFoundationalμ1 Physical / atomic
Concept DOI10.5281/zenodo.21253574DOI10.5281/zenodo.21298184PDFDownload
ReciprocityEntropyCoherencekuramotovon-misesOpen systemsscale-invarianceresults-scoped

Reading status

Current statement

The exact result is Q motion and a single dQ=0 point on the von Mises family. It does not, without a bath, establish sigma_566=0 or settle a universal directional law.

Evidence level

Exact in declared scope

preprint

Declared μ register

μ1 · Physical / atomic

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

Open boundary

The exact family contains no bath or independent entropy-production channel.

Version lineage

Supersedes: FRC 566.030 v1.2

On this page
FRC 566.030 applies the canonical reciprocity law dS + k* d ln C = 0 through one explicit information-unit realization. With the predeclared representation k*_{mu_nat}=1, it computes Q=S+k*_{mu_nat} ln C exactly on the von Mises/Kuramoto family. Q is non-constant and reaches its unique stationary point at kappa r=1, kappa=1.608279 and C=0.621782. The exact identity is dS/d ln C=-kappa r, hence dQ/d ln C=k*_{mu_nat}-kappa r. This stationary point is dQ=0; it is not sigma_566=0 unless an explicit environment model supplies that additional equality. The family contains no bath and therefore measures neither irreversible production nor entropy export. A companion Langevin closure tests those quantities in one model class and finds no universal erasure floor in its declared normalization.
Cover art for FRC-566-030: Reciprocity in Action v1.3: Exact System-Only Motion and a Scoped Boundary Test

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