FREQUENCY COSMOLOGY AND THE MODAL DISCIPLINE OF OBJECTIVITY: a critical–propositional analysis of Faruk Alpay's article 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 Faruk Alpay’s Frequency Cosmology: Foundational Framework (2025), in dialogue with the Theory of Objectivity developed by Vidamor Cabannas and Denivaldo Silva. The study examines Alpay’s proposal to reformulate cosmology through fundamental frequency modes, spectral representations, harmonic analysis, unitary transformations, and algebraic-categorical structures. The analysis confronts Frequency Cosmology with the modal axioms of the Theory of Objectivity, its phenomenic elements, Inducer Effects, cosmogonic theorem, and cosmological Eras. Special attention is given to the concepts of information preservation, spectral decomposition, cosmic resonance fields, and the possibility of interpreting frequency as a formal expression of relational information and atomic radiation. The article argues that Alpay’s framework offers a significant mathematical and conceptual bridge to the Theory of Objectivity, especially in its treatment of information, field decomposition, and the universe as a structure of resonances. However, it also identifies important tensions: Frequency Cosmology remains primarily representational, does not derive the universe from modal necessity, does not formulate an ontology of observation, and does not identify information or atomic radiation as a substance transcendent to the quantum. The analysis concludes that Alpay’s article has a high but incomplete degree of dialogue with the Theory of Objectivity, receiving a score of 8.2 out of 10. This analytical text received analytical support from ChatGPT. Keywords: Theory of Objectivity; Vidamor Cabannas; Frequency Cosmology; Faruk Alpay; modal ontology; spectral geometry; harmonic analysis; information preservation; atomic radiation; transcendent information; phenomenic elements; Inducer Effects; cosmic resonance field; cosmogony; cosmological Eras; spectral decomposition; philosophy of cosmology; mathematical physics.