Spacetime Rigidity, Geometric Induction, and the Illusion of Dark Matter under Ontological Discipline

This article presents an expanded critical–propositional reading of W. C. Chiang’s Local Geometric Resonance Manifold (LGRM) and Field Theory of Spacetime Rigidity in light of the Theory of Objectivity (TO), its foundational bibliography, its recent modal-ontological developments, and the supporting literature in physics, cosmology, and philosophy of science. The study examines Chiang’s proposal that spacetime should be understood not as a passive geometric background, but as a substantial and dynamically rigid medium capable of storing, transmitting, and releasing stress. From this basis, the article analyzes the LGRM attempt to reinterpret galactic rotation curves, inertia, matter waves, and aspects of quantum behavior without recourse to dark matter or purely probabilistic readings of physical reality. The paper argues that Chiang’s model is philosophically and scientifically relevant because it recenters explanation on relations, couplings, boundaries, induction processes, and systemic redistribution of energy. At the same time, under the modal discipline of the Theory of Objectivity, the article shows that LGRM remains ontologically insufficient as a foundational account, since it tends to hypostatize substantial spacetime and does not deduce its physical principles from a more radical cosmogonic framework. In dialogue with the Seven Absolute Truths of the Theory of Objectivity, the article evaluates possible compatibilities and tensions between LGRM and TO, especially regarding relational fields, logical boundaries, composition by prior elements, phenomenic memory, inductive effects, and the distinction between phenomenological regime and ontological foundation. It further articulates these issues with the TO cosmogonic theorem, the cosmological Eras, and the recent TO discussions on modal ontology, testability, operational bridges, convergence zones, and the properties of the vacuum. Rather than treating LGRM as a substitute for the Theory of Objectivity, the article proposes that Chiang’s framework may be more fruitfully interpreted as a possible late and regional description of torsion, convergence, coupling, and informational redistribution within an already constituted universe. In this sense, the paper contributes both to the respectful scientific dialogue around alternative gravitational models and to the broader effort of assessing contemporary physical proposals under a rigorous ontological discipline. Keywords: Theory of Objectivity; LGRM; spacetime rigidity; substantial spacetime; dark matter; galactic rotation curves; modal ontology; phenomenic memory; inductive effects; cosmology; philosophy of physics; gravitational theory.