THE MODAL DISCIPLINE OF COSMOLOGY: a critical–propositional analysis of ONE AXIOM: COSMOLOGY, by Robert Spychalski, in confrontation with the Theory of Objectivity

This article presents a critical–propositional examination of Robert Spychalski’s ONE AXIOM: COSMOLOGY in confrontation with Vidamor Cabannas and Denivaldo Silva’s Theory of Objectivity (TO). The study investigates whether a cosmological framework grounded in a single geometric axiom and in the OCR/OER duality can provide a sufficient ontological basis for the origin, structure, and intelligibility of the universe. The analysis argues that Spychalski’s model is intellectually significant as a highly condensed geometric framework for observable cosmological phenomena, including dark matter, dark energy, baryogenesis, inflationary parameters, baryon acoustic oscillations, recombination, reionization, and large-scale structure. However, when examined under the modal discipline of the Theory of Objectivity, the article concludes that ONE AXIOM: COSMOLOGY does not yet achieve a complete ontological account of cosmic genesis. Drawing on the Seven Absolute Truths of the Theory of Objectivity, the TO cosmogonic theorem, the notion of phenomenic elements, the Inductive Effects, and the cosmological Eras of TO, the paper shows that Spychalski’s proposal is stronger as a geometric and phenomenological compression of the already emerged cosmos than as a sufficient modal ontology of the universe’s origin. In particular, the article highlights important tensions regarding elemental singularity, ontological boundaries, full relational observability, and transcendental informational substance. Rather than dismissing the ONE AXIOM framework, the study proposes its reclassification within the objectivist horizon: not as a final cosmological ontology, but as a valuable formal architecture of cosmological observables that can be partially reintegrated into the broader modal and ontological discipline of the Theory of Objectivity. This work contributes to the ongoing scientific and philosophical dialogue between alternative cosmological models and the Theory of Objectivity, advancing a rigorous discussion about the difference between formal unification, phenomenological success, and ontological sufficiency. Keywords: Theory of Objectivity, modal ontology, cosmology, Robert Spychalski, ONE AXIOM, OCR/OER duality, dark matter, dark energy, baryogenesis, inflation, phenomenic elements, modal discipline, ontology of physics, cosmological foundations, Zenodo dialogue article