Chapter 9: The Frame Holonomy Sector: Gravity as Canonical Gap

The Generator–Sector Correspondence (Book IV, Chapter 6) assigns the generator α to the D-sector: gravity. But the assignment alone does not produce physics. A sector label is not a gravitational field. What turns the label into dynamics is the frame holonomy—the parallel transport of coherence frames around the base circle τ¹. This chapter derives gravity as the canonical gap in the D-sector of H_∂[ω], proves the gravitational constant formula G = (c³/ℏ) ι_τ² from the torus vacuum shape ratio r/R = ι_τ, and establishes the σ-equivariance of the gravitational coupling κ_τ = 1 - ι_τ: gravity is unpolarized, treating both lobes of the lemniscate symmetrically.