decoherence

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

FRC 100.002 v2.5 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 corrects only the framework ledger notation. 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 is reported only as a system-only diagnostic. Because no environment is modeled, J_sys is not automatically entropy production or a boundary residual. The relation lambda=-d_eS is admissible under a declared boundary convention and is neither imposed universally nor rejected by fiat.

Collapse as Open-System Phase-Locking v3.3: A Conditional Basin Mechanism

FRC 100.003 v3.3 presents finite-time phase-locking into coherence basins as a candidate collapse mechanism, not an established ontology. The pilot checks a Langevin microstate-distribution flow conditional on a stipulated Born-weighted landscape; it does not derive the Born weights. The microstate route remains admissible only if operationally equivalent preparations give identical observable predictions and a bipartite extension passes no-signaling. SME, system-plus-bath, and other norm-controlled realizations remain open alternatives. The paper distinguishes Lambda_obs, observation-derived Lambda_eq, and optional latent Lambda_dyn; a fundamental field is a separate conjecture. The canonical reciprocity law is dS + k* d ln C = 0; this paper uses a predeclared indexed realization only for its local ledger. Boundary-relative lambda=-d_eS is neither imposed universally nor rejected by fiat. The three gates remain open: admissible dynamics, Born-weight origin, and explicit environment accounting.

FRC and Quantum Computing