THE MODAL DISCIPLINE OF THE ONTOLOGICAL FOUNDATIONS OF PHYSICS: A critical–propositional analysis of Deriving the Ontological Foundation of Physics Using Classical Logic – Addressing Hilbert's Sixth Problem, by Russell R. Smith, in confrontation with the Theory of Objectivity

This article presents a critical–propositional analysis of Russell R. Smith’s work, Deriving the Ontological Foundation of Physics Using Classical Logic – Addressing Hilbert’s Sixth Problem, in systematic confrontation with the Theory of Objectivity (TO). The study examines Smith’s attempt to reconstruct the foundations of physics through a unified ontological framework grounded in classical logic, with special attention to existence, intrinsic properties, interaction, self-causation, ontological continuity, and the M-field. The article argues that Smith’s proposal is philosophically relevant because it rejects the sufficiency of purely mathematical formalism and seeks a deeper ontological unification of general relativity and quantum field theory. At the same time, the analysis shows that, under the modal discipline of the Theory of Objectivity, Smith’s framework remains incomplete in decisive respects: it does not begin from Nothingness as a primitive and eternal mathematical essence, does not fully articulate minimal relational observation as a condition of full existence, does not adequately formulate transcendence as information or radiation generated in atomic relations, and does not provide a cosmogonic theorem comparable to that of TO. By placing Smith’s framework in dialogue with the foundational, recent, and supporting bibliography of the Theory of Objectivity, the article concludes that his proposal is valuable as a reconstructive ontology of physics, yet insufficient as a fully modal and cosmogonic foundation. The text therefore positions Smith as an important interlocutor whose work may be critically assimilated, corrected, and hierarchically reordered within the broader architecture of the Theory of Objectivity. Note by the authors: this analysis received analytical support from ChatGPT. KeywordsTheory of Objectivity; Russell R. Smith; ontology of physics; Hilbert’s Sixth Problem; classical logic; general relativity; quantum field theory; cosmology; metaphysics of science; modal ontology; M-field; foundations of physics; critical-propositional analysis; Zenodo