What question did this study set out to answer?

This research aims to establish a framework for understanding dark matter scaling through phase-charge conservation.

February 25, 2026Open Access

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

Key Points

This research aims to establish a framework for understanding dark matter scaling through phase-charge conservation.
Develop a model-independent formulation within the CoreLumen phase-condensate framework.
Derive the relation Y(ρ) = Zθ(ρ)ρ² ∝ a⁻³ from phase-charge conservation principles.
Establish conditions for cold dark matter recovery and local stability.
Introduce a minimal leakage parameter to quantify scaling duration.
Demonstrate that the phase-sector energy density scales as ρθ ∝ a⁻³, resembling cold dark matter.
Formalize implementation interfaces for Boltzmann solvers in the scaling regime.
Confirm local stability and recovery conditions under effective-field-theory validity.

Abstract

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.

AI에게 질문

Bookmark

View Full Paper