conformalᵥacuumdecay

Abstract We propose a unified mathematical framework connecting Penrose's Conformal Cyclic Cosmology (CCC) with the Coleman–De Luccia false vacuum decay mechanism. We identify rotating Kerr black holes as catalytic nucleation seeds and derive the torsion contribution to the bounce action within the Einstein-Cartan formalism, yielding the explicit coefficient α (a*) = π (1 + a*²/3) / (1 + √ (1−a*²) ) ² under clearly stated approximations. We demonstrate that the conformal rescaling factor Ω² at the crossover between aeons is a function of the scalar field potential V (φ), and derive the complete physical chain from vacuum decay through electroweak symmetry restoration to the nulling of all rest masses (m₀ → 0), establishing this as the mechanism for conformal invariance at the crossover. Numerical evaluation for M87* and Sgr A* confirms the torsion correction dominates the flat-space bounce action by ~89–95 orders of magnitude. Three open approximations are explicitly identified and their resolution outlined: the scalar field spin-coupling, the O (4) symmetry assumption in Kerr background, and the fixed-background treatment of back-reaction. Key predictions: Vₜ = 0 as a CCC-compatibility condition, scalar potential flatness k ≥ 3, and decelerating cosmic expansion.