UNIVERSAL ERUPTIONS AND THE THEORY OF OBJECTIVITY: a critical–propositional analysis of black-hole cosmogenesis, external matter, dark energy, and informational transcendence in confrontation with the modal axioms, Inducer Effects, and cosmological E

This article presents a critical–propositional analysis of Lawrence Rao’s Universal Eruptions: A New Hypothesis on Black Hole Explosions, Dark Energy, and the Unseen Matter Beyond in confrontation with the Theory of Objectivity (TO), developed by Vidamor Cabannas and Denivaldo Silva. Rao’s hypothesis proposes that the observable universe may be the remnant of a catastrophic eruption of a primordial supermassive black hole, and that cosmic acceleration, usually attributed to dark energy, may instead be influenced by unseen external matter located beyond the original event horizon. The analysis examines the possible compatibilities and tensions between Rao’s speculative cosmological proposal and the modal axioms of the Theory of Objectivity, especially the axioms concerning the logical Nothing, uniqueness, infinity as non-element, boundary, relational observation, recursive composition, and transcendent substance. It also articulates the discussion with TO’s phenomenic elements, Inducer Effects, cosmogenic theorem, and cosmological Eras. Special attention is given to the concepts of cosmic boundary, event horizon, exteriority, dark energy, unseen matter, and informational transcendence. From the perspective of TO, Rao’s hypothesis is recognized as highly dialogical because it challenges the self-sufficiency of the observable universe and emphasizes the role of externality in cosmic expansion. However, the article also argues that Rao’s model remains in tension with TO because it begins from a physically constituted primordial black hole, whereas TO seeks to derive cosmic origin from necessary logical-ontological conditions. The study concludes that Rao’s article offers a fertile field for dialogue with the Theory of Objectivity, particularly regarding boundary, exteriority, expansion, and the insufficiency of the observable universe as an absolute totality. Nevertheless, TO reformulates the idea of transcendence not merely as external matter, but as knowledge or information produced in atomic relations and equivalent to atomic radiations. This analytical text received analytical support from ChatGPT. Keywords: Theory of Objectivity; Vidamor Cabannas; Denivaldo Silva; Lawrence Rao; Universal Eruptions; black holes; primordial black hole; event horizon; dark energy; dark energy;; cosmic acceleration; cosmogenesis; modal ontology; Inducer Effects; cosmological Eras; transcendent substance; informational transcendence; atomic radiation; cosmic boundary; philosophy of cosmology.