We propose a mathematical framework connecting Penrose's Conformal Cyclic Cosmology (CCC) with the Coleman-De Luccia false vacuum decay mechanism. Within the power-law family Omega² proportional to (V-Vt) ⁿ, we show that n = 1 is the unique value satisfying four independent physical conditions: regularity of the stress-energy tensor and Ricci scalar at the crossover, causal propagation of conformal fluctuations, and maximal transition entropy consistent with the Weyl Curvature Hypothesis. The power-law restriction is an additional structural assumption not derived from these conditions alone. The resulting relation Omega² (phi) = (V (phi) - Vt) / (Vf - Vt) is not postulated but selected within the assumed family. We outline the physical chain from vacuum decay through electroweak symmetry restoration to the nulling of rest masses (m0 -> 0), connecting established Standard Model physics to the conformal invariance required at the CCC crossover. Rotating Kerr black holes are identified as preferred nucleation sites; we construct a candidate torsion coefficient alpha (a*) = pi (1 + a*²/3) / (1 + sqrt (1 - a*²) ) ² whose a*-dependence is fixed by the Kerr geometry, but whose overall normalization is not derived from first principles and is identified as the primary open problem. A dimensional argument shows that the (M/MPl) ² scaling of the torsion enhancement is coupling-independent. Numerical illustration for M87* and Sgr A* shows this factor dominates the flat-space bounce action by 89-95 orders of magnitude, robust against the identified normalization uncertainty. Three falsifiable predictions follow from the framework: Vt = 0 as a CCC-compatibility selection condition, scalar potential flatness k >= 3 near the true vacuum, and decelerating late-time cosmic expansion as required by the causal completeness criterion.
Fischer Andre (2026) studied this question.