THE GEOMETRIC THEORY OF PARTICLES BY YUTA AGAWA: a critical–propositional analysis in confrontation with the axioms, phenomenic elements, Inducer Effects, cosmogonic theorem, and cosmological Eras of the Theory of Objectivity

This article presents a critical–propositional analysis of Yuta Agawa’s A Unified Theory of Elementary Particles as Intrinsic Structures of Four-Dimensional Spacetime (Version v3; DOI: https://doi.org/10.5281/zenodo.14233888) in dialogue with the Theory of Objectivity (TO), developed by Vidamor Cabannas and Denivaldo Silva. The analysis examines Agawa’s proposal that elementary particles may be understood as intrinsic geometric and topological structures of four-dimensional spacetime, articulated through Riemann–Cartan geometry, torsion, gauge fields in the affine connection, holonomy reduction, and topological mechanisms of charge quantization. The article confronts this framework with the modal axioms of TO, especially the logical Nothing, elemental uniqueness, infinity as non-element, boundary, triadic observation, recursive composition, and transcendent informational substance. Special attention is given to possible compatibilities between Agawa’s geometric ontology of particles and TO’s phenomenic elements, Inducer Effects, cosmogonic theorem, and cosmological Eras. The article argues that Agawa’s work offers a relevant physical–geometric interlocution with TO, especially regarding boundary, torsion, holonomy, spin, charge, and informational radiation. However, it also identifies important tensions, since Agawa assumes four-dimensional spacetime as already given, whereas TO seeks to ground the very possibility of spacetime through modal and ontological necessity. The conclusion assigns Agawa’s article a high level of dialogue with TO, while emphasizing that it should be read as a derived physical–geometric model rather than as a direct confirmation of the Theory of Objectivity. This analytical text received analytical support from ChatGPT. Keywords: Theory of Objectivity; Vidamor Cabannas; Denivaldo Silva; Yuta Agawa; four-dimensional spacetime; Riemann–Cartan geometry; torsion; holonomy; elementary particles; Standard Model; gauge fields; topological charge; modal ontology; phenomenic elements; Inducer Effects; cosmogonic theorem; cosmological Eras; transcendent information; atomic radiation; critical–propositional analysis.