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FRC-100-002 · v2.6

Coherence in Chaos: Diffusion, Localization, and Decoherence in the Standard Map / Quantum Kicked Rotor Family

H. Servat2026-07-1223 minFRC 100 seriesFoundationalμ1 Physical / atomic
Concept DOI10.5281/zenodo.15079277DOI10.5281/zenodo.21328428PDFDownload
chaosstandard-mapquantum-kicked-rotordynamical-localizationdecoherenceReciprocityEntropyCoherencekamruelle-pollicottOpen systems

Reading status

Current statement

100.002 v2: the chaos paper of the basin series, rebuilt on the Standard Map / Quantum Kicked Rotor. Chaos is not the absence of coherence — coherence structure inside chaos is measurable against exact, pre-existing anchors, and localization/decoherence are one ledger read in three regimes. Pilot results included; kills included; stadium demoted to appendix.

Evidence level

Pilot-supported program

preprint

Declared μ register

μ1 · Physical / atomic

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

Open boundary

KAM correspondence, crossover tolerance, and out-of-sample mechanism collapse remain open.

Version lineage

Supersedes: FRC 100.002 v2.5

On this page
FRC 100.002 v2.6 preserves the Standard Map / Quantum Kicked Rotor chaos program, the KAM-structure functional, localization/decoherence pilots, the Ruelle-Pollicott negative result, and the demoted stadium appendix. It records the completed registered dense classical Gate 4 test as a negative result: fine KAM-area tracking fails, while the earlier coarse zero-parameter magnitude correspondence survives in its scoped form. This route does not promote the paper as a pillar. The canonical reciprocity law remains dS + k* d ln C = 0. In this paper's declared information-nat realization k*_{mu_nat}=1, and J_sys=d[S_sys,mu+k*_{mu_nat} ln C_mu]/dt remains a system-only diagnostic, not automatically entropy production or a boundary residual.
Cover art for FRC-100-002: Coherence in Chaos: Diffusion, Localization, and Decoherence in the Standard Map / Quantum Kicked Rotor Family

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