IndisputableMonolith.Materials.CreepRegimesFromConfigDim
This module defines creep regime classifications, strain rate functions, and certifications derived from configuration dimension in the Recognition Science materials framework. Materials physicists modeling time-dependent deformation would cite it when applying the RS time quantum to creep analysis. It consists entirely of definitions and supporting objects with no proofs.
claimDefinitions of creep regime classification, strain rate function $\dot{\epsilon}$, and certification predicate based on configuration dimension, using the RS time quantum $\tau_0 = 1$ tick.
background
Recognition Science takes the fundamental time quantum $\tau_0 = 1$ tick from the Constants module as its native unit. This module sits in the materials domain and supplies the objects needed to classify creep behaviors, compute strain rates, and certify regimes when configuration dimension is given. It extends the imported constants to material-specific constructs without introducing new axioms.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
This module supplies the foundational definitions for creep analysis in the Recognition Science materials domain. It feeds into higher-level material behavior theorems, though the current dependency graph lists no direct downstream uses. It connects the core time quantum to practical deformation modeling.
scope and limits
- Does not derive creep regimes from the J-function or phi-ladder.
- Does not perform numerical evaluation for specific materials.
- Does not include any theorems or proofs of properties.
- Does not specify computation of configuration dimension itself.