EMERGENT TIME, QUANTUM SUPERPOSITION, AND THE MODAL DISCIPLINE OF THE THEORY OF OBJECTIVITY: a critical–propositional analysis of the article "Surgimento do tempo a partir da superposição de estados quânticos estacionários", by Matheus Pereira Lobo and Everson Gomes Quirino

This article presents a critical–propositional analysis of Matheus Pereira Lobo and Everson Gomes Quirino’s white paper “Surgimento do tempo a partir da superposição de estados quânticos estacionários”, published on Zenodo with DOI https://doi.org/10.5281/zenodo.15717200. The analyzed work proposes that classical time may emerge from the superposition of two stationary quantum states with distinct energies. Starting from the Schrödinger equation and from the interference term in the probability density, Lobo and Quirino suggest that classical temporality does not manifest itself in an isolated stationary state, but rather in the relational structure produced by the combination of distinct quantum states. In dialogue with the Theory of Objectivity by Vidamor Cabannas and Denivaldo Silva, this article examines possible compatibilities and tensions between the analyzed proposal and the modal axioms of TO. Special attention is given to the notions of boundary, relation, observation, phenomenic elements, Inducer Effects, the cosmogonic theorem, and the cosmological Eras of the Theory of Objectivity. The analysis also considers the TO thesis that the transcendent element is the knowledge or information produced in atomic relations, equivalent to atomic radiations. The article argues that Lobo and Quirino’s proposal offers a relevant microphysical and conceptual bridge to the Theory of Objectivity, especially because it interprets time as an emergent relational phenomenon. However, it also identifies important modal tensions, particularly the fact that the Schrödinger equation already presupposes a formal time parameter. Thus, the analyzed work is understood not as a complete cosmogonic explanation of time, but as a significant contribution to the discussion of phenomenic temporality and relational emergence. This analytical text counted on the analytical support of ChatGPT. Keywords Theory of Objectivity; Vidamor Cabannas; Denivaldo Silva; Matheus Pereira Lobo; Everson Gomes Quirino; emergent time; quantum superposition; stationary quantum states; Schrödinger equation; phenomenic time; modal axioms; Inducer Effects; cosmogonic theorem; cosmological Eras; relational information; transcendent element; atomic relations; quantum ontology; philosophy of physics.