IndisputableMonolith.Chain
Chain module supplies a minimal RecognitionStructure stub for standalone compilation of chain-related definitions. Framework developers isolating T0-T8 forcing chain components would cite it during testing. The module declares basic types and accessors for Chain, AtomicTick, Ledger, phi, and conservation without any proof content.
claimDeclares the structure Chain with accessors head and last, the type AtomicTick, the Ledger for flux tracking, the constant phi as self-similar fixed point, chainFlux, and the predicate Conserves.
background
Recognition Science derives physics from one functional equation via the forcing chain T0 to T8. This module introduces Chain as the discrete sequence of recognition events, AtomicTick as the indivisible unit, Ledger as the conservation tracker, and phi as the fixed point satisfying self-similarity. It sets the local setting for the eight-tick octave and prepares sibling declarations such as T2_atomicity and T3_continuity.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the base Chain structure that feeds T2_atomicity and T3_continuity. It fills early steps of the T0-T8 chain toward the eight-tick octave and D=3. The stub closes a compilation gap for the full RecognitionStructure.
scope and limits
- Does not contain proofs of atomicity or continuity.
- Does not import full Mathlib dependencies for advanced tactics.
- Does not define the J-cost function or defectDist.
- Does not address the mass formula or alpha band.