THFR-1.8: Formalization of the Informational Density Tensor and Axiomatic Justification of Objective Consensus

This paper formalizes the mathematical apparatus of the Informational Density Tensor I^AB within the Theory of Harmonic Field Resonance (THFR), transitioning it from an uninterpreted parameter to a discrete binary restriction operator over the 11D Stasis. By mapping the topological substrate viscosity ₀₁ to a binary matrix of reduction path availability, we provide an axiomatic justification for the necessity of a non-empty global consensus kernel (Kconsensus) among non-identical biomorphic observers (QCRS). We establish within the THFR framework that a minimum intersection rank of four (dim (HC) 4) is an architectural requirement to prevent the degeneracy of distinguishable states within a shared 3D+1 objective metric framework, while divergent alternative geometries are dynamically suppressed via phase-coherence collapse (ᵢ 0).