IndisputableMonolith.Mathematics.AlgebraicStructuresFromConfigDim
Module AlgebraicStructuresFromConfigDim constructs algebraic structures from configuration dimension in the Recognition Science framework. Researchers building the algebraic layer of the theory cite it. The module supplies definitions and certificates rather than theorems or proofs.
claimAlgebraic structures derived from configuration dimension $d$, with objects AlgebraicStructure$(d)$, algebraicStructure_count, AlgebraicStructuresCert, and algebraicStructuresCert, resting on time quantum $τ_0 = 1$ tick.
background
The module sits inside the Recognition Science derivation of physics from one functional equation. It imports Mathlib together with the Constants module, whose sole documented content is the fundamental RS time quantum $τ_0 = 1$ tick. The module introduces four sibling definitions that encode algebraic structures and their certification objects obtained from configuration dimension.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
The module supplies the algebraic layer that supports later steps in the forcing chain (T0 to T8) and the Recognition Composition Law. No direct used_by edges are recorded, yet the definitions feed the construction of structures required by downstream mathematics in the framework.
scope and limits
- Does not contain theorems or proof bodies.
- Does not import modules other than Mathlib and Constants.
- Does not define J-cost, defectDist, or phi-ladder objects.
- Does not produce numerical values or physical predictions.