dual_balance_codimension
plain-language theorem explainer
The dual-balance codimension is defined as the natural number 1, representing the codimension of the ledger conservation constraint surface. Researchers working on the curvature correction in the fine-structure constant derivation cite this value to complete the five-dimensional phase-space count that produces the observed π^5 factor. The definition is a direct assignment with no computation or lemmas required.
Claim. The codimension of the dual-balance constraint surface is $1$.
background
The Curvature Space Derivation module accounts for the π^5 factor in the curvature correction δ_κ = -103/(102π^5) by integrating over a five-dimensional configuration space. This space consists of three spatial dimensions on the cubic lattice, one temporal dimension from the eight-tick cycle, and one dual-balance dimension tied to the conserved quantity σ. The dual-balance codimension is the codimension of the constraint surface for this conserved quantity, fixed at 1 so that each dimension contributes a π from angular integration.
proof idea
Direct definition that assigns the natural number 1.
why it matters
This definition supplies the missing codimension for the theorem balance_constraint_codim_1, which states that the total configuration space dimension accounts for all physical structure. It completes the 3 + 1 + 1 accounting that forces the π^5 denominator in the fine-structure constant correction, linking directly to the forced D = 3 spatial dimensions and the eight-tick temporal cycle.
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