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 IAB 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 ηAB to a binary matrix of reduction path availability, we provide an axiomatic justification for the necessity of a non-empty global consensus kernel (K_consensus ≠ ∅) among non-identical biomorphic observers (QCRS). We establish within the THFR framework that a minimum intersection rank of four (dim(H_C) ≥ 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 (χ_i → 0).