FROM CHAOS TO ORDER: a critical–propositional analysis of Mohamed Hassan's article in confrontation with the Theory of Objectivity, its modal axioms, phenomenic elements, Inducer Effects, cosmological Eras, and informational transcendent substance

This article presents a critical–propositional analysis of Mohamed Hassan’s From Chaos to Order: A Study of Balance Chaos Mathematics and Absolute Mathematical Framework in confrontation with the Theory of Objectivity (TO). The study examines Hassan’s integration of the Absolute Mathematical Framework (AMF) and Balance Chaos Mathematics (BCM), especially their treatment of infinity, zero, chaos, absolute limits, stabilization, divergent processes, black-hole singularities, quantum field theory, vacuum energy, chaotic systems, and cosmological implications. The analysis evaluates possible compatibilities and tensions between Hassan’s framework and the modal axioms of the Theory of Objectivity, particularly the TO principles concerning Nothingness as a primitive mathematical essence, infinity as the necessary non-element for the logical definition of the universe, boundaries as conditions of distinction, observation as relational confirmation, compositional anteriority, and the transcendent substance of the universe understood as knowledge or information produced in atomic relations and equivalent to atomic radiations. The article argues that Hassan’s AMF may be productively reinterpreted as a mathematics of objective boundaries, while BCM may be read as a preliminary mathematics of reducing, stabilizing, and ordering Inducer Effects. It also discusses the article’s relation to the phenomenic elements, the cosmogonic theorem, and the cosmological Eras of the Theory of Objectivity. The study concludes that Hassan’s work has strong potential for dialogue with TO, especially in relation to the transition from chaos to order, although it requires further modal, ontological, and empirical clarification. This analytical text received analytical support from ChatGPT. Keywords:Theory of Objectivity; Vidamor Cabannas; Mohamed Hassan; Balance Chaos Mathematics; Absolute Mathematical Framework; infinity; zero; chaos; order; absolute limit; modal ontology; cosmology; black holes; quantum field theory; vacuum energy; atomic radiation; information; Inducer Effects; phenomenic elements; cosmogonic theorem; Theory of Objectivity cosmological Eras.