Relation to Existing Physics

AP04’s structural identity intersects several existing research programmes. Penrose’s Conformal Cyclic Cosmology (CCC) [Penrose 2010] proposes that the conformal boundary of one aeon becomes the big bang of the next. AP04 shares the intuition that cosmological endpoints and origins are related, but differs fundamentally: CCC is temporal (one aeon follows another), while AP04’s identity is atemporal (the structure is read from two sides of Σ, not sequenced); CCC requires conformal rescaling and massless final states, AP04 requires torsion-driven transition and fermionic matter.

Smolin’s Cosmological Natural Selection (CNS) [Smolin 1992] proposes that black holes give birth to new universes with slightly altered constants under selection pressure. AP04 shares the structural identity but does not invoke selection: the constants are determined by ε (if AP03 holds), not evolved. CNS is Darwinian; AP04 is structural. Pathria [1972] and subsequent work proposed that the observable universe might be the interior of a black hole; AP04 sharpens this to a specific conjecture (L7) with an explicit transition mechanism (Popławski’s torsion) and explicit falsification conditions. Easson and Brandenberger [2001] proposed that contraction inside a black hole could generate a new expanding phase; AP04’s contribution is the atemporal reading. Corichi and Singh [2016] showed that the loop quantum bounce preserves large-scale structure while resolving the singularity — consistent with AP04’s requirement that ε·h carry information through the transition.