IndisputableMonolith.Chemistry.PhaseDiagramTripleFromJCost
The Chemistry.PhaseDiagramTripleFromJCost module constructs phase diagrams for matter phases by applying the J-cost band to derive triple points. Researchers applying Recognition Science to chemistry would cite it when building domain certificates. The module imports the six-clause J-cost template and defines MatterPhase, phaseCount, PhaseDiagramCert, and phaseDiagramCert to encode the required properties.
claimThe phase diagram triple point for matter phases $P$ is certified by PhaseDiagramCert when $J(1)=0$ and $J(x)≥0$ for $x>0$, with phaseCount giving the number of distinct phases.
background
The module sits in the chemistry domain and imports the Canonical J-Cost Band. That upstream module supplies the reusable six-clause template used across the master cert chain. Its doc-comment states: 'The six-clause J-cost-on-ratio template is used across the master cert chain (B-tier whole-science openings, the Plan v7 forty-something domain certs). Each domain cert proves: 1. matched-zero: J(1) = 0 2. nonneg: J(x) ≥ 0 for x > 0'. The present module introduces MatterPhase as the type of phases, phaseCount as their cardinality, and PhaseDiagramCert as the certification object that applies the J-cost conditions to triple points.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the chemistry-specific instance of the J-cost template and feeds the master cert chain for B-tier whole-science openings. It completes the phase-diagram portion of the Plan v7 domain certs by linking J-cost nonnegativity to observable triple points.
scope and limits
- Does not compute numerical triple-point coordinates for real substances.
- Does not incorporate explicit temperature or pressure variables.
- Does not treat multi-component or non-equilibrium systems.