IndisputableMonolith.Chemistry.PhaseCoexistenceFromJCost
The module Chemistry.PhaseCoexistenceFromJCost collects definitions for deriving chemical phase coexistence from the J-cost function in Recognition Science. Researchers modeling equilibria via the RS framework would cite it. It imports Constants for the base time quantum and groups sibling declarations on topology and certification. The module contains no proofs and serves as an organizational container.
claimPhase coexistence topology and certification derived from the J-cost function, with relations satisfying the Recognition Composition Law $J(xy) + J(x/y) = 2J(x)J(y) + 2J(x) + 2J(y)$.
background
The module sits in the Chemistry domain of Recognition Science and imports Mathlib plus IndisputableMonolith.Constants. The upstream Constants module supplies the fundamental RS time quantum with doc-comment stating "The fundamental RS time quantum (RS-native). τ₀ = 1 tick." It organizes sibling objects including PhaseCoexistenceTopology and PhaseCoexistenceCert that apply the J function to chemical equilibria.
Recognition Science derives all physics from the J functional equation and the Recognition Composition Law. The module therefore supplies the interface between that law and concrete chemical phase behavior.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies foundational chemistry objects that feed into higher-level Recognition Science results on equilibria and the forcing chain (T5 J-uniqueness, T6 phi fixed point, Recognition Composition Law). It connects the J-cost to phase behavior without yet linking to any downstream theorems in the used_by graph.
scope and limits
- Does not contain any theorems or proofs.
- Does not derive numerical values for chemical constants.
- Does not connect to experimental observations.
- Does not simulate dynamical evolution of phases.