IndisputableMonolith.Materials.GlassTransitionFromJCost
This module defines glass transition properties in Recognition Science by deriving regimes, fragility metrics, and certification objects from the J-cost function. Materials physicists modeling amorphous solids would cite these definitions. The module is purely definitional with no proofs or derivations.
claimIntroduces $\mathrm{GlassRegime}$, $\mathrm{fragilityIndex}$, $\mathrm{fragility\_ratio}$, and $\mathrm{GlassTransitionCert}$ as J-cost-derived objects on the phi-ladder with time quantum $\tau_0$.
background
The module imports the RS time quantum $\tau_0 = 1$ tick from Constants. It introduces J-cost-based definitions for glass regimes and fragility in the materials domain, building on the Recognition Composition Law and J-uniqueness from the forcing chain (T5). Sibling declarations include GlassRegime, glassRegime_count, fragilityIndex, fragility_ratio, fragility_pos, GlassTransitionCert, and glassTransitionCert.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
This module supplies the core definitions for applying Recognition Science to glass transition phenomena, feeding materials applications of the framework. It connects J-cost (T5) to material dynamics and the eight-tick octave structure.
scope and limits
- Does not derive numerical predictions for specific real-world materials.
- Does not incorporate explicit temperature or pressure dependence.
- Does not prove equivalence to experimental glass transition data.
- Does not address quantum or relativistic corrections to the transition.