IndisputableMonolith.Chemistry.MaillardThresholdFromJCost
This module formalizes the Maillard threshold as a J-cost equilibrium condition in Recognition Science chemistry. Physical chemists modeling reaction kinetics or food science equilibria would cite the below-threshold result. The module structures its case as a chain of lemmas on equilibrium, positivity above threshold, and symmetry, all derived from the imported Cost module.
claimBelow the Maillard threshold, normal hydration equals recognition equilibrium: $J(\text{hydration ratio}) = 0$.
background
The module sits in the Chemistry domain and imports the Cost module, which supplies the J-cost function and recognition composition law. It models chemical hydration as a recognition process whose equilibrium is governed by the J-uniqueness relation. The local theoretical setting applies the forcing chain landmarks to reaction thresholds, treating the Maillard reaction as the point separating normal hydration equilibrium from defect states.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the J-cost threshold condition that connects T5 J-uniqueness to chemical equilibria. It feeds the Recognition framework's chemistry applications and the phi-ladder mass formula in molecular contexts. The parent structure is the unified forcing chain applied to reaction thresholds.
scope and limits
- Does not derive a numerical value for the threshold in physical units.
- Does not incorporate explicit temperature or pH dependence.
- Does not address experimental validation or measurement protocols.
- Does not extend the model to non-hydration Maillard pathways.