The Structural Origin of the Uncertainty Principle under Modal Discipline: A Critical–Propositional Analysis of Ming Cheng's Article in Confrontation with the Theory of Objectivity

This article presents a critical–propositional analysis of Ming Cheng’s work, The Structural Origin of Heisenberg’s Uncertainty Principle: Infinite-Dimensional Reality and Its Analytic, Functional, Geometric, and Algebraic Foundations (2026), in confrontation with the Theory of Objectivity (TO), developed by Vidamor Cabannas and Denivaldo Silva. The study examines Cheng’s central thesis that Heisenberg’s uncertainty principle does not arise primarily from limitations of measurement, but from the very infinite-dimensional structure of physical reality and its mathematical representation through four convergent layers: analytic non-commutativity, Fourier duality, symplectic geometry, and algebraic rigidity. From this reconstruction, the article identifies both compatibilities and points of tension between Cheng’s proposal and the modal axioms of TO. Among the compatibilities are the critique of simplistic instrumentalism, the emphasis on deep structures, and the understanding of the phenomenon as derived from prior compositions. Among the tensions are the ontological status of infinity, the absence of an originary cosmogonic treatment, and the insufficient treatment of the auratic singularity of the element. In a propositional framework, the text interprets the uncertainty principle as a derived phenomenic element, articulating it with the Inductive Effects, the Reductive Inductive Effect, the cosmogonic theorem of TO, and the cosmological Eras of the Theory of Objectivity. The article also develops the hypothesis that the transcendent element corresponds to the knowledge or information produced in atomic relations, equivalent to atomic radiations, which allows uncertainty to be reread not merely as a limit, but as an index of the non-saturation of the quantum and of reality’s openness to the production of knowledge. Thus, the study argues that Cheng’s article offers a strong and philosophically fertile structural description of the quantum domain, but that its full ontological intelligibility requires subordination to the modal, relational, and cosmogonic discipline of the Theory of Objectivity. The result is a rigorous dialogue between contemporary mathematical physics and modal ontology, reaffirming that TO does not seek to replace modern physics, but to provide it with a logical, ontological, and scientific foundation compatible with a possible universe. Keywords Theory of Objectivity; uncertainty principle; Heisenberg; Ming Cheng; modal ontology; infinite-dimensionality; Hilbert space; Fourier duality; symplectic geometry; Stone–von Neumann; Reductive Inductive Effect; phenomenic elements; information-radiation; cosmogony; quantum physics