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FRC

physics

Open systems

6 items

Open-system claims require an explicit boundary and accounting for represented exchanges or residual uncertainty.

RelatedReciprocityCoherenceEntropyscale-invariancedecoherenceFRC 100 seriesFRC 566 seriesphilosophy

Primary research (4)

PrimaryPaperv2.52026-07-09

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.

PrimaryPaperv3.32026-07-09

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.

PrimaryPaperv2.22026-07-09

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

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*).

PrimaryPaperv1.32026-07-09

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

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.

Philosophical work (2)

PhilosophicalPaperv1.02026-07-10

FRC 700.777 v1.0 - μ Registers: A Nested Scope Model for Scale-Declared Reciprocity

FRC 700.777 defines μ registers as a nested scope model for the FRC corpus. μ0 names the prior ground; μ1–μ4 describe an organism's interior registers; μ5–μ6 its symbolic and witnessing envelope; and μ7 the boundary-shell coupled to what lies outside the declared system. The note distinguishes this map from physical scale selection and from the starred Boltzmann bridge k*. A μ label declares where a claim speaks; it neither sets k*, proves cross-register causation, nor transfers evidence between registers. The paper supplies an interface record for any proposed cross-register study and keeps the canonical physical relation unchanged.