CORRELATION BETWEEN THE GIBBONS–HAWKING EUCLIDEAN FORMALISM AND THE CLOSURE OF SINGULARITIES AND INFINITIES IN THE VP HYPOTHESIS: a critical–propositional confrontation with the Theory of Objectivity

This article presents a critical–propositional confrontation between Darius Kazlauskas’s Correlation of the Gibbons–Hawking 1977 Euclidean Action Formalism with the Closure of Singularities and Infinities in the VP Hypothesis (Version V01) and the Theory of Objectivity (TO), as developed by Vidamor Cabannas and Denivaldo Silva. The study examines whether the VP hypothesis, in linking the finiteness of the Euclidean action to a regular interior core and to asymptotic subtraction, can be interpreted as a formally relevant framework for the closure of singularities and infinities. The paper argues that Kazlauskas’s proposal shows meaningful compatibilities with the Theory of Objectivity, especially regarding the necessity of boundaries, the discipline of closure, the refusal of absolute singularities as final physical entities, and the dependence of exterior phenomenic regimes on deeper constitutive layers. At the same time, the article identifies important tensions, including the insufficient distinction between physical infinity and logical infinity, the lack of a fully explicit modal ontology, and the limited role of relational observation in the VP framework. By articulating the analyzed article with the foundational bibliography of TO, its recent modal and testability-oriented developments, and a broader bibliography of dialogue with modern physics, this study proposes that the VP hypothesis can be received as a formally significant but ontologically incomplete program of constitutive closure. The article concludes that the Gibbons–Hawking result, within the VP scheme, may be read as a special exterior limit of a broader structure, but one that still requires ontological reclassification under the modal discipline of the Theory of Objectivity. This analytical article also includes an appendix in TO style, offering a modal reordering of the central concepts of the VP hypothesis. Note: This analysis was developed with the analytical support of ChatGPT. Keywords: Theory of Objectivity; VP Hypothesis; Gibbons–Hawking; Euclidean Action; Quantum Gravity; Singularities; Infinities; Modal Ontology; Cosmology; Boundary Conditions; Gravitational Thermodynamics; Critical-Propositional Analysis.