This article presents a complete and expanded critical-propositional analysis of the dialogue between Roger Penrose’s Conformal Cyclic Cosmology (CCC) and the Theory of Objectivity (TO), taking as its immediate reference the previously published article Conformal Cyclic Cosmology and the Theory of Objectivity: Modal Axioms, Inductive Effects, Phenomenic Elements, and Empirical Bridges. The study examines possible compatibilities and structural tensions between CCC and TO, especially regarding modal necessity, boundary formation, conformal transition between aeons, the role of radiation, the preservation of information, and the possibility of empirical bridges through cosmological observations. It argues that CCC and TO occupy distinct theoretical levels: CCC is treated as a physically contingent cosmological model grounded in conformal geometry and relativistic cosmology, whereas TO is presented as a modal-ontological framework based on seven necessary axioms, the cosmogenetic theorem of the Perfect Logical Sphere, Inductive Effects, phenomenic elements, and cosmological eras. Special attention is given to the interpretation, within TO, of the transcendent element as knowledge or information produced in atomic relations and equivalent to atomic radiation. The article also discusses whether Hawking points in the cosmic microwave background, neutrino cosmology, relic radiation, and other observational fields may function as indirect empirical bridges for TO, without being treated as direct confirmations. The analysis concludes that Penrose’s CCC provides a highly relevant field of dialogue for TO, particularly around boundary, radiation, memory, and cosmic transition, while also requiring stronger operational and falsifiable bridges for future development. This analytical text received analytical support from ChatGPT. Keywords: Theory of Objectivity; Vidamor Cabannas; Denivaldo Silva; Conformal Cyclic Cosmology; Roger Penrose; modal axioms; Perfect Logical Sphere; Inductive Effects; Expansive Inductor Effect; Reductive Inductor Effect; phenomenic elements; cosmological eras; atomic radiation; informational transcendence; Hawking points; cosmic microwave background; neutrinos; empirical bridges; foundations of cosmology; philosophy of physics.
Cabannas et al. (Sun,) studied this question.