Universal Functional Coherence and Physical Unification under the Modal Scrutiny of the Theory of Objectivity

This paper presents a formal, scientific, critical–propositive analysis of the Universal Functional Coherence Theory (UFCT)—as publicly described in the Zenodo record by Mário César Garms Thimoteo—through the modal–ontological framework of the Theory of Objectivity (TO). The study centers on UFCT’s proposed universal constant Ξ₀, characterized as a “minimum quantum of functional execution,” claimed to be derived from first principles via topological methods (Chern classes), embedded in a functional-coherence master equation, and validated across independent domains (CMB/Planck, high-energy neutrinos/IceCube, and neutrino-mass measurements/KATRIN) with no free parameters and high reported accuracy. TO is treated not as a competing physical model but as a modally necessary logical–ontological base for any coherent possible universe, grounded in Seven Absolute Truths (modal axioms) and a complete theorem expressed in a proprietary mathematical language (graphical theorem). The article systematically maps UFCT’s claims onto TO’s axioms and TO’s derived Inducer Effects—the Expansive Inducer Effect (Axioms 4–5) and the Reductive Inducer Effect (Axioms 4–6)—to identify potential compatibilities, structural tensions, and minimal conditions for universality, auditability, and empirical contact. A dedicated section evaluates whether neutrinos can plausibly function as phenomenic carriers of TO’s plasmatic regimes, translating the discussion into operational bridge requirements (differential predictions, cross-correlations, and explicit failure criteria). The analysis is additionally structured through a curated dialogue with foundational literature in quantum philosophy and measurement (Heisenberg), spacetime ontology (Einstein), holism (Bohm), emergence and irreversibility (Prigogine & Stengers), cosmological framing (Weinberg, Hawking, Penrose), and paradigm assessment (Kuhn). Keywords: Theory of Objectivity; UFCT; functional coherence; Ξ₀; modal axioms; inducer effects; operational bridges; cosmology; neutrinos; topological invariants; philosophy of science; testability.