HORIZON EXPANSION FRACTAL AND THE MODAL DISCIPLINE OF OBJECTIVITY: a critical–propositional analysis of Scott Monroe's model in confrontation with the Theory of Objectivity

This article presents a critical–propositional analysis of Scott Monroe’s Horizon Expansion Fractal: A New Framework for Visualizing Quantum Space-Time in confrontation with the Theory of Objectivity (TO), developed by Vidamor Cabannas and Denivaldo Silva. The analysis examines Monroe’s Horizon Expansion Fractal (HEF) as a recursive, scale-dependent, node-based model of quantum space-time that seeks to integrate fractal geometry, cosmological expansion, loop quantum gravity analogies, entropy growth, black hole horizon dynamics, Pantheon supernova fitting, weak lensing comparison, and the recovery of General Relativity in large-scale limits. The article evaluates possible compatibilities and tensions between HEF and the modal axioms of the Theory of Objectivity, especially regarding anteriority, boundaries, recursion, relational observation, informational transcendence, and the cosmological Eras of TO. It argues that HEF provides a fertile geometric interlocutor for TO, particularly in relation to the modal necessity of boundaries, the law of anterior composition, the Centrifugal Era, and the interpretation of information as a substance transcendent to the quantum. At the same time, the article identifies important limits in Monroe’s model from the standpoint of TO: HEF does not begin from Nothing as primitive and eternal mathematical essence, does not derive its recursive geometry from modal necessity, and does not fully formulate a theory of relational observation. The conclusion is that HEF should be understood as a productive operational and geometric bridge for dialogue with TO, but not as an ontological replacement for it. This analytical text received analytical support from ChatGPT. Keywords: Theory of Objectivity; Horizon Expansion Fractal; Scott Monroe; quantum space-time; fractal cosmology; modal ontology; recursive geometry; cosmological expansion; informational transcendence; boundaries; entropy; black hole horizons; Loop Quantum Gravity; General Relativity; Standard Model; cosmological Eras.