This article presents a critical–propositional analysis of Tuan Van Tran’s On the Unified Field Theory and the Structure of Space-Time in confrontation with the Theory of Objectivity. Tran’s article proposes a geometric unified field theory in which the fundamental interactions, force mediators, dark matter, dark energy, and vacuum fluctuations are interpreted as manifestations of space-time curvature. Its central hypothesis associates the Ricci scalar curvature with attractive, neutral, or repulsive physical regimes: for attraction, for equilibrium, and for repulsion. The present analysis examines the possible compatibilities and tensions between Tran’s geometric framework and the modal, ontological, phenomenic, and cosmogonic structure of the Theory of Objectivity. Special attention is given to the proposed relation between frequency and amplitude, , the hypothesis of quantized space-time gaps, the classification of forces as curvature effects, and the interpretation of vacuum structure as a possible bridge between geometry, energy, and information. From the perspective of the Theory of Objectivity, the article argues that Tran’s proposal offers a relevant geometric and phenomenic dialogue with concepts such as boundaries, Inductive Effects, convergence and divergence zones, the cosmological Eras, and the active structure of the vacuum. However, it also identifies important points of tension, especially the absence of modal grounding, the presupposition of space-time as a starting point, the lack of an explicit theory of objective observation, and the non-identification of the element transcendent to the quantum. In the Theory of Objectivity, the element transcendent to the quantum is understood as the knowledge or information produced in atomic relations and equivalent to atomic radiations. Therefore, Tran’s model is interpreted as a partial physical-geometric theory of cosmic organization, useful for dialogue with the Theory of Objectivity, but still insufficient as a complete modal-cosmogonic theory of origin. This analytical text received analytical support from ChatGPT. Keywords Theory of Objectivity; Vidamor Cabannas; Tuan Van Tran; unified field theory; Ricci scalar curvature; quantized space-time; space-time gaps; geometric ontology; modal ontology; Inductive Effects; phenomenic elements; atomic radiation; information; quantum gravity; vacuum structure; cosmology; dark energy; dark matter; General Relativity; Theory of Objectivity dialogue.
Cabannas et al. (Wed,) studied this question.