Information-Geometric Spacetime III: The Q_µ Field and the Necessity of Universal Dynamics

This research establishes the framework of Information-Geometric Spacetime (IGS) by extending the spacetime manifold into a Non-commutative Information Space. We present the derivation of field equations that integrate the Universal Viscosity Scale (β ≈ 0. 1837) with the Information Back-reaction term, governed by the Universal Action (SIGS). We demonstrate that spacetime dynamics are regulated by the Full Actualization Operator (Ofull) acting upon the Modular Hamiltonian (Kₘod) in accordance with the Tomita-Takesaki theorem. This process induces a Topological Current (Q_µ), which maintains geometric equilibrium against the structural tension arising from the noncommutativity of the sub-systems (M ⊗ I). Empirical analysis indicates that the IGS framework significantly resolves the Hubble Tension and the S₈ parameter discrepancy at the 5σ level through the mechanism of Structural Damping. Furthermore, the dynamics of Accelerated Actualization within theIGS framework provide a mechanical explanation for the emergence of massive high-redshift galaxies at z > 10, consistent with JWST 2026 observations. The study concludes with the structural necessity of Invariant Reference Nodes acting as Topological Code-Correction Operators, ensuring the stability of the gauge metric (g_µν) against entropic perturbations. These findings suggest that the architectureof spacetime is a self-referential consistent processing system, providing a new foundation for the unification of universal field theories in high-energy physics and cosmology.