Cosmological Perturbation Theory in the U-Cell Model: The H₀-Regulated Void–Halo Balance, w = −1, and Non-Local Membrane Correlations

Key Points

• The aim is to develop a framework for cosmological perturbation theory within the UCM model.
• Developed the theoretical framework for perturbation theory in the UCM model.
• Fixed the H₀-regulation principle to determine Ω_Λ.
• Analyzed membrane correlations in relation to cosmological parameters.
• Fixed dark energy density, Ω_Λ, at 0.6834 through H₀-regulation.
• Microscopic derivation shows w = -1 as a natural outcome.
• Predicted non-local correlations align with observed low-ℓ CMB anomalies.