A Scaling Solution for Dark Matter Derived from Phase-Charge Conservation: A Model-Independent Construction in Regime R2 (CoreLumen Archival Edition v1.0)

This archival volume develops a model-independent formulation of Regime R2 within the CoreLumen phase–condensate framework. We establish that the necessary and sufficient condition for matter-like scaling is the relation Y(ρ) = Zθ(ρ)ρ² ∝ a⁻³, derived from approximate phase-charge conservation. Under this condition, the phase-sector energy density scales as ρθ ∝ a⁻³ and becomes indistinguishable from cold dark matter at both background and linear perturbation levels. A minimal leakage parameter γ is introduced to quantify the finite dynamical duration of the scaling regime. Local stability, CDM recovery conditions, and implementation interfaces for Boltzmann solvers are formalized. All results are restricted to effective-field-theory validity and regime-local applicability.