THEORY F AND THE MODAL DISCIPLINE OF OBJECTIVITY: a critical–propositional analysis of Antonio Bernárdez Gumiel's structural modal logic 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 Antonio Bernárdez Gumiel’s Teoría F y la Lógica Modal Estructural: Una nueva base lógica para una física sin tiempo, sin número, sin medida, published on Zenodo with DOI https://doi.org/10.5281/zenodo.16326965, in dialogue with the Theory of Objectivity developed by Vidamor Cabannas and Denivaldo Silva. The study examines Theory F as an ambitious attempt to construct a structural modal logic for a physics prior to time, number, measurement, and ordinary spacetime representation. It analyzes Gumiel’s concepts of structural modes, coherent fracture, modal topology, presheaves, functors, T-field, emergence, projection, and structural falsifiability, placing them in confrontation with the Seven Absolute Truths of the Theory of Objectivity, the phenomenic elements, the Inducer Effects, the cosmogonic theorem, and the cosmological Eras of TO. The article argues that Theory F strongly dialogues with the Theory of Objectivity because both frameworks seek a pre-phenomenal and pre-metric foundation for reality. However, it also identifies important differences: Theory F does not explicitly begin from Nothing as a Primitive and Eternal Mathematical Essence, does not define infinity as the necessary non-element, does not formulate plural observation as a condition of full existence, and does not identify the transcendent substance with knowledge or information produced in atomic relations, equivalent to atomic radiations. The analysis concludes that Theory F may offer a useful modal–categorical grammar for refining the formal language of the Theory of Objectivity, while TO may provide Theory F with a deeper cosmogonic, informational, and ontological foundation. The article assigns Theory F a high dialogue score with TO and proposes several conceptual bridges between structural modal logic and the modal discipline of Objectivity. This analytical text received analytical support from ChatGPT. Keywords: Theory of Objectivity; Vidamor Cabannas; Denivaldo Silva; Theory of Objectivity; Theory F; Antonio Bernárdez Gumiel; structural modal logic; modal ontology; structural physics; cosmology; phenomenic elements; Inducer Effects; cosmogonic theorem; cosmological Eras; atomic information; atomic radiation; pre-phenomenal reality; modal coherence; structural fracture.