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FRC.v2

Esta es una traducción no supervisada realizada por IA. Por favor, consulte la versión en inglés para el texto definitivo.

Índice de fórmulas

Los anclajes actuales del corpus FRC, etiquetados por alcance.

Canónica

Entropy-Coherence Reciprocity

FRC 566-001

dS + k* d ln C = 0

Scale-invariant canonical form. k* is the starred Boltzmann bridge, not an outcome-fitted constant. Universal physical status remains conjectural.

Coherence
0.000
Oscillators (N)50
Coupling (K)0.50

K < 0.5: Chaos. K > 1.0: Phase Lock.

Visualization: Each dot is an agent. The gold arrow represents the group's coherence vector. Longer arrow = higher synchrony.

Exacta en su alcance

von Mises / Kuramoto Identity

FRC 566-030

dS / d ln C = −κr

Exact for the declared family. At the information-nat realization, κr = 1 marks a stationary Q point, not a universal zero-current claim.

Operativa

Open-System Entropy Ledger

FRC 566-001

dS_sys = d_iS + d_eS, d_iS ≥ 0

Standard boundary accounting. Residuals and exchange terms require a declared subsystem and environment model.

Observed Lambda Transform

FRC 826-829

Λ_obs = Λ₀ ln C_obs

An observed transform, distinct from a target Λ_eq, optional latent Λ_dyn, and any conjectural fundamental field.

Piloto / objetivo registrado

Chaos Structure Functional

FRC 100-002

Σ = S_vM(C) − S ≥ 0

Maximum-entropy gap used to measure structure beyond coherence alone. The KAM correspondence remains an active evidence gate.

Localization Crossover

FRC 100-002

t* γ_C = O(1)

Pilot-supported coherence-lifetime target. A final tolerance band and out-of-sample mechanism collapse are not yet established.

Cantidades declaradas

k*
register-declared

starred Boltzmann bridge; scale-invariant role

C
(0, 1]

declared operational coherence channel

Λ₀
model-declared

transform scale, not a universal measured constant

Σ
≥ 0

maximum-entropy structure gap