IndisputableMonolith.Chemistry.PhaseCoexistenceFromJCost
The module constructs phase coexistence structures in chemistry from the J-cost functional of Recognition Science. It introduces topological and certification objects for phase boundaries using the base time quantum. The module depends solely on the Constants import for its foundational unit. No theorem bodies appear in the module declaration.
claimDefines phase coexistence topology and certificates derived from the J-cost $J(x) = (x + x^{-1})/2 - 1$ in RS-native units with time quantum $τ_0 = 1$.
background
Recognition Science derives chemistry from the single J-cost equation. The module sits in the Chemistry domain and imports Constants, whose doc-comment states the fundamental RS time quantum (RS-native) $τ_0 = 1$ tick. It builds sibling objects for topology and certification of phase equilibria on the phi-ladder.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
The module supplies the J-cost foundation for chemical phase behavior within the Recognition framework. It connects to T5 J-uniqueness and T6 phi fixed point. No downstream uses are recorded, but it supports later derivations of coexistence conditions from the forcing chain.
scope and limits
- Does not derive numerical coexistence pressures or temperatures.
- Does not address non-equilibrium or kinetic effects.
- Does not incorporate external fields or multi-component mixtures.