IndisputableMonolith.Mathematics.GraphInvariantsFromConfigDim
The module defines structures for extracting graph invariants from configuration dimension in Recognition Science. Researchers modeling discrete geometry or network representations of physics would cite these when linking RS constants to graph properties. It consists solely of definitions and certificates with no theorems or proofs.
claimThe module introduces the graph invariant $I(G,d)$ for graph $G$ at configuration dimension $d$, the counting function over such invariants, and the certification object for the collection of invariants.
background
This module imports the fundamental RS time quantum $ au_0 = 1$ tick from IndisputableMonolith.Constants. It introduces the objects GraphInvariant, graphInvariant_count, GraphInvariantsCert, and graphInvariantsCert, all parameterized by configuration dimension. The theoretical setting is the mathematical layer of Recognition Science, which derives all physics from one functional equation and forces D = 3 spatial dimensions via the unified forcing chain.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
The definitions supply graph-theoretic tools positioned to feed parent theorems in the Recognition Science monolith, particularly those connecting discrete structures to the phi-ladder and the eight-tick octave. It fills the mathematics component that supports derivation of constants such as $G = \phi^5 / \pi$ and the alpha band.