SUBSTANTIAL SPACETIME, COSMIC ELASTICITY, AND THE MODAL DISCIPLINE OF THE THEORY OF OBJECTIVITY: a critical–propositional analysis of Hugang Cui's Spacetime Substantivalism 46 in confrontation with the axioms, phenomenic elements, Inducer Effects, cosmogonic theorem, and cosmological Eras of TO

This article presents a critical–propositional analysis of Hugang Cui’s Spacetime Substantivalism 46: The Elastic Nature of the Universe Confirmed by Gravitational Waves — From Hooke’s Law to Spacetime Lattice Dynamics: From Geometric Phenomenology of Spacetime to Substantial Constitutive Theory of Spacetime (2026), published on Zenodo under DOI https://doi.org/10.5281/zenodo.20710886, in dialogue with the Theory of Objectivity (TO). The study examines Cui’s proposal of a substantial constitutive theory of spacetime, according to which spacetime should not be interpreted merely as an abstract geometrical manifold, but as a substantial elastic medium endowed with constitutive parameters, lattice structure, rigidity, stress transmission, and dynamic response. Special attention is given to Cui’s interpretation of Einstein’s field equations as a macroscopic analogue of Hooke’s law, to his reading of gravitational waves as stress waves in a spacetime lattice, and to his claim that the gravitational constant may express the material stiffness of spacetime. In confrontation with TO, the article identifies significant compatibilities with the modal vocabulary of boundary, relation, tension, radiation, information, phenomenic elements, Inducer Effects, and cosmological structuring. It argues that Cui’s model provides a relevant physical–constitutive language for several themes that TO organizes at the modal level, especially the role of boundary, convergence, propagation, and informational transcendence. At the same time, the analysis highlights important tensions: Cui begins from an already constituted lattice, whereas TO requires the modal anteriority of the logical Nothing and of the Absolute Truths as necessary conditions for any coherent universe. The article also discusses the empirical relevance of gravitational-wave observations, especially GW150914 and GW170817/GRB 170817A, as possible indirect corroborations of TO’s phenomenic reading of tension, convergence, radiation, and information, while preserving the distinction between empirical confirmation of general relativity, heuristic support for constitutive spacetime models, and modal grounding in TO. This analytical text received analytical support from ChatGPT. Keywords: Theory of Objectivity; Vidamor Cabannas; Denivaldo Silva; Hugang Cui; Spacetime Substantivalism; substantial spacetime; gravitational waves; cosmic elasticity; Hooke’s law; spacetime lattice; modal ontology; phenomenic elements; Inducer Effects; logical Nothing; radiation; information; transcendent element; cosmology; general relativity.