Topological Decoherence and Relational Coarsening in Chern-Simons Boundary Cosmology: Derivation, Obstructions, and Open Problems

We derive the post-degeneracy dynamics of a (2+1) D SL (2, C) Chern-Simons boundary theory emerging from degenerate disformal scalar-tensor gravity. The complex level kₑff = s + it generates an exponential topological decoherence filter that selects minimal-volume hyperbolic geometries. Honest derivation of domain coarsening yields exponent n = 1/3 (Ostwald ripening under volume conservation) ; the observational exponent 2/3 requires a network sparsity hypothesis (R ~ L²) formulated as an open conjecture. A Spin-TQFT path toward Majorana neutrino mass from surgery holonomy is sketched, with the SL (2, C) symmetry obstruction explicitly identified. Five open problems are enumerated. Builds on the No-Go Theorem (DOI: 10. 5281/zenodo. 18866200) and CS Boundary Completion (DOI: 10. 5281/zenodo. 18894178). Additional notes (Changelog for Version 2) Transition from Hypothesis to Theorem: The cosmic scaling law R (t) ~ t^2/3 has been formally derived via the Volumetric Traversal Postulate (Definition 6. 4). This derivation establishes that in a post-degeneracy boundary theory, relational distance is a measure of accumulated Chern-Simons action, which scales as L² due to the volumetric nature of the functional. Friedmann Consistency Proof: Added Proposition 6. 6, providing a formal proof that the model recovers the p=0 (pressureless dust) Friedmann evolution. The derivation demonstrates that mass conservation (derived from volume conservation in the topological network) leads to the correct energy density dilution of ρ ~ R^-3. Dimensional Prediction: Introduced a generalized scaling law R (t) ~ t^ (d-1) /3 for boundary theories of spatial dimension d. The d=3 case, selected by the Achúcarro-Townsend-Witten correspondence, is shown to uniquely predict the observed matter-dominated expansion exponent. Research Programme Refinement: Following the analytical closure of the expansion scaling problem, the primary research focus is now shifted to the Spin-TQFT bridge for the derivation of Majorana mass terms (Open Problem 3).