IndisputableMonolith.Mathematics.AlgebraicStructuresFromConfigDim
This module constructs algebraic structures from configuration dimension in the Recognition Science framework. It builds directly on the RS time quantum τ₀ = 1 tick imported from Constants. The module supplies the core definitions AlgebraicStructure, algebraicStructure_count, and AlgebraicStructuresCert. These objects serve as the algebraic layer for later derivations in the Mathematics section. The module contains no proofs and consists entirely of definitions.
claimAlgebraic structures parameterized by configuration dimension, denoted AlgebraicStructure(configDim), together with the counting function algebraicStructure_count and the certification predicate AlgebraicStructuresCert.
background
The module imports Mathlib and IndisputableMonolith.Constants. Constants supplies the fundamental RS time quantum τ₀ = 1 tick. The module introduces AlgebraicStructure as the central object, along with its count and certification forms. These definitions operate in the RS-native setting where configuration dimension fixes the algebraic properties that later yield the forcing chain steps T5–T8.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the algebraic layer that feeds the unified forcing chain (T0–T8) and the Recognition Composition Law. It establishes the structures from which the phi-ladder, mass formula, and constants (c = 1, ħ = φ^{-5}) are later derived. No downstream declarations are recorded yet.
scope and limits
- Does not prove any properties of the defined structures.
- Does not assign a numerical value to configuration dimension.
- Does not derive physical constants or the forcing chain steps.
- Does not contain usage examples or downstream applications.