Formula Index

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.

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.

dS_sys = d_iS + d_eS, d_iS ≥ 0

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

Λ_obs = Λ₀ ln C_obs

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

Σ = S_vM(C) − S ≥ 0

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

t* γ_C = O(1)

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