Supplementary Clarification II to the Unified Survival-Constraint (USC) Framework v2

Supplementary Clarification II to the Unified Survival-Constraint (USC) Framework v2: Coherence Spectrum, Dark Sector Unification, and the Evolving Equation of State This document is a supplementary clarification to the Unified Survival-Constraint (USC) Framework v2 (DOI: 10. 5281/zenodo. 18324405) and its Supplementary Clarification I (DOI: 10. 5281/zenodo. 18383191). It introduces no new equations and makes no changes to the USC v2 Parameter Ledger or two-track integration architecture. It provides three extensions to the existing framework: The first is the coherence spectrum -- an interpretive unification identifying dark energy and dark matter as the two observable endpoints of a single geometric structure at the Janus boundary, rather than independent mechanisms. The high-coherence residue class corresponds to the backreaction sector (ρB, pB) already computed in USC v2 Track 2. The partial-coherence residue class corresponds to the warm dark matter mass scale m₀ ~ 7. 5 keV already derived from the geometric sparsity postulate. Both originate from the same upstream boundary scales εJ and r₀. The second is a reinterpretation of the USC v2 history field Φ as an alignment accumulator -- deepening the physical meaning of the causal saturation criterion without altering its mathematical form. The gate function W (a) is reread as a coherence filter, and the activation threshold at zₐct ≃ 1. 053 is reinterpreted as the coherence milestone at which the physical universe dynamically separates from the high-coherence residue class. The third is the derivation of the dark energy equation of state w (z) as a new falsifiable Output computed directly from the existing Track 2 dynamical system. The validated deceleration parameter qₜoday = −0. 694 implies w (z=0) < −1, distinguishable from a cosmological constant and testable by DESI, Euclid, and the Nancy Grace Roman Space Telescope. A geometric resolution of the coincidence problem is also presented: both ρDE and ρDM are proportional to the same boundary scale ρ_Γ, making their ratio a geometric consequence rather than a fine-tuning. All predictions from USC v2 and CPT v3 remain in force and are not modified by this document. The coherence parameter C is an organizing concept, not a dynamical variable. This document may be evaluated independently of the CPT primordial sector. Associated works: USC v2 (10. 5281/zenodo. 18324405), Supplementary Clarification I (10. 5281/zenodo. 18383191), CPT v3 (10. 5281/zenodo. 18241627). © 2026 KarritTech Inc. All rights reserved.