Substantial Spacetime, Cosmic Elasticity, and the Modal Discipline of the Theory of Objectivity

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, published on Zenodo in 2026 under DOI https://doi.org/10.5281/zenodo.20710886, in dialogue with the Theory of Objectivity (TO), especially its modal axioms, phenomenic elements, Inducer Effects, cosmogonic theorem, and cosmological Eras. Cui’s article proposes a transition from the geometrical phenomenology of general relativity to a substantial constitutive theory of spacetime, interpreting Einstein’s field equations as a macroscopic form analogous to Hooke’s law for an elastic spacetime medium. From this perspective, gravitational waves are stress waves in a substantial lattice, the gravitational constant expresses the material stiffness of spacetime, and time corresponds to the stepping frequency or logical update of the universe’s constitutive protocol. The present analysis argues that Cui’s proposal has strong dialogical potential with TO, especially because it brings back into the center of theoretical physics the notions of substrate, tension, limit, boundary, propagation, information, and radiation. However, important tensions are also identified: Cui begins his ontology from an already constituted lattice, whereas TO requires the modal anteriority of the logical Nothing and of Absolute Truths; furthermore, the analogy between Einstein’s equation and Hooke’s law is fertile and heuristic, but still demands stronger dimensional, constitutive, and experimental formalization. The article concludes that Cui’s work occupies a high position of dialogue with TO, since it offers a physical–constitutive language compatible with several phenomenic developments of the theory, although it does not yet reach the original modal foundation required by TO. Keywords: Theory of Objectivity; Vidamor Cabannas; Denivaldo Silva; Hugang Cui; substantial spacetime; gravitational waves; cosmic elasticity; spacetime lattice; Inducer Effects; radiation; information; modal cosmology.