IndisputableMonolith.Materials.CompositeFailureModesFromConfigDim
The module defines composite failure modes derived from configuration dimension in the Recognition Science materials framework. It introduces CompositeFailureMode as an inductive type of failure categories, a count function, and a certification structure ensuring completeness. Materials modelers working with RS-derived composites would cite these when mapping config dimension to structural integrity checks. The module is purely definitional and imports only the base time quantum from Constants.
claimThe module introduces the inductive type of composite failure modes, the natural number counting them, and the certification structure, all parameterized by configuration dimension.
background
Recognition Science begins with the fundamental time quantum τ₀ = 1 tick supplied by the imported Constants module. In the materials domain this module specializes the framework to composites by defining failure modes that arise from the configuration dimension parameter. The sibling declarations supply an enumeration of modes, a counting function, and a certificate that the enumeration is exhaustive for the given dimension.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The definitions supply the interface for composite failure analysis that later theorems on material stability and the phi-ladder will invoke. They close the definitional layer between the base RS time quantum and higher-level claims about D = 3 spatial composites.
scope and limits
- Does not compute numerical failure probabilities or rates.
- Does not incorporate specific material constants beyond configuration dimension.
- Does not prove any stability or existence theorems.
- Does not address dynamic or time-dependent loading.