IndisputableMonolith.Physics.RadioactiveDecayTypesFromConfigDim
This module defines types and certificates for radioactive decay modes derived from configuration dimension in Recognition Science. It introduces DecayMode as the classification type, decayMode_count for its cardinality, and RadioactiveDecayCert as the certification predicate. Built directly on the RS time quantum τ₀ = 1 tick imported from Constants, the module supplies the type-level foundation for decay processes. It contains no proofs and functions as a pure definition layer.
claimDefines the type $DecayMode$ of radioactive decay modes extracted from configuration dimension, the cardinality $decayMode_count$, and the predicate $RadioactiveDecayCert$ that certifies valid decay instances in RS-native units.
background
Recognition Science derives all physics from one functional equation via the forcing chain T0-T8, with D=3 spatial dimensions and the phi-ladder for mass scales. This module resides in the Physics domain and imports the fundamental RS time quantum τ₀ = 1 tick from IndisputableMonolith.Constants. It centers definitions on decay modes obtained from the configuration dimension parameter.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
This module supplies the decay classification system that higher-level theorems on radioactive processes in the Recognition framework reference. It connects configuration dimension to physical decay types, supporting derivation of particle phenomena from the unified forcing chain. No direct downstream theorems are listed, marking it as an early foundational module.
scope and limits
- Does not derive decay probabilities, lifetimes, or rates.
- Does not link modes to specific particles or the phi-ladder mass formula.
- Does not invoke the J-cost function or Recognition Composition Law.