THE MODAL DISCIPLINE OF NECESSARY EXISTENCE: a critical–propositional analysis of the article Structural Limits of Modal Necessity and the Failure of Necessary Existence, by Carlos van Hamme, in confrontation with the Theory of Objectivity

This article offers a critical–propositional examination of Carlos van Hamme’s 2026 paper Structural Limits of Modal Necessity and the Failure of Necessary Existence in confrontation with the Theory of Objectivity (TO). The study analyzes van Hamme’s jurisdictional critique of modal logic, especially his claim that formal modal systems can classify logical–analytic and modal–structural necessity, but cannot, by themselves, ground existential necessity. In dialogue with the foundational, recent, and supportive bibliography of the Theory of Objectivity, the paper argues that van Hamme’s critique is philosophically relevant as a methodological warning against any simplistic transition from structural coherence to existential authority. At the same time, it contends that this critique is not conclusive against TO when the latter is understood not as a merely static axiomatic framework, but as a modal ontology of genesis. The article develops this confrontation through a detailed analysis of the Seven Absolute Truths of TO, the cosmogonic theorem, the Inductive Effects, the phenomenic elements, and the cosmological Eras. It also considers the user-defined interpretation of the transcendent element in TO as knowledge or information produced in atomic relations and equivalent to atomic radiations. Under this perspective, the article argues that van Hamme’s critique of necessary personal agency does not directly invalidate the ontological scope of TO, since the Theory of Objectivity does not require a modal-theistic personal ground in order to sustain transcendence beyond the quantum. The paper concludes that van Hamme’s article contributes significantly to the clarification of the limits of modal reasoning, but that its Appendix C underestimates the broader ontological and cosmogonic architecture of the Theory of Objectivity. Thus, the confrontation proves productive not as a refutation of TO, but as an opportunity to refine its modal discipline, its language of realization, and its articulation between ontology, cosmogony, and phenomenic manifestation. KeywordsTheory of Objectivity; modal necessity; existential necessity; modal ontology; cosmogenesis; structural grounding; phenomenic elements; Inductive Effects; Seven Absolute Truths; transcendence; quantum ontology; philosophy of cosmology; ontology of genesis; modal discipline; Carlos van Hamme