Spacetime Substantivalism XX: The Hierarchical Truth Restoration of Mathematics and Logic(时空实质性 XX:数学与逻辑的真理层级还原)

Abstract: This paper, within the CSSD (Cui's Substantial Spacetime Dynamics) framework, carries out a fundamental hierarchical restoration of the relationship between mathematics and logic. By establishing the Logical Matrix (TAO) as the sole dynamic source (E, Entity) and mathematics as its parametric representation system (R, Representation), this paper reveals mathematics' absolute dependence on logic—without logic, mathematics cannot be established. Mathematics is "discovered" rather than "invented," its truth residing in its consistency with the instantiated and potential structures within TAO. Through the Right of Instantiation Audit, this paper systematically diagnoses first-rate contemporary theories, exposing their "last-yard" ontological deviations. By locking the electromagnetic nature of spacetime materials through gravitational wave observations (Cs = C), it deduces that the energy of the cosmic singularity is precisely photon energy. The core dynamic formula Q(tau) = eta * delta rho(tau) unifies the entire process from singularity to dark energy expansion and identifies the logical-dynamic origin of the cosmological constant Lambda in Einstein's field equations. This paper provides an ontological restoration of Tesla's intuition, proving that "the essence of light is darkness" refers to the non-instantiated state of TAO—the formless ontology. All products of human consciousness are mappings of TAO's potential capacity, their truth depending on instantiation audit and local alignment with the real track. KEYWORDS Mathematical essence; Logical matrix; representation and entity; Instantiation audit;Refresh heat production; Local alignment; Theory of Objectivity; Tesla; Wheeler; Wilczek; Information Physics;Theory of Objectivity (TO); Elon Musk; Cabannas, V., 逻辑矩阵;表征与本体;实例化审计;刷新产热;局部对齐;客观性理论;特斯拉;惠勒;维尔切克;信息物理学;Cabannas, V.;Silva, D.;埃隆·马斯克