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QG-CRM: Ultraviolet Completion of the Curvature Relaxation Model via Quantum Quadratic Gravity (DRAFT)

Authors: Geiger, Lukas;

QG-CRM: Ultraviolet Completion of the Curvature Relaxation Model via Quantum Quadratic Gravity (DRAFT)

Abstract

Paper VI of the Curvature Relaxation Model (CRM) series. DRAFT We present QG-CRM, the ultraviolet-completed Curvature Relaxation Model. The γR² term in the CRM Lagrangian admits a natural UV completion via asymptotically free quantum quadratic gravity (QQG), following Liu, Quintin & Afshordi (PRL 136, 111501, 2026). RG running of the R² coupling dynamically generates inflation without an inflaton field. The Saturation Theorem provides the unique UV-IR interface, guaranteeing tanh as the infrared normal form. PREDICTIONS: ns ~ 1 - 4/(3N) ≈ 0.976, r ≥ 0.01, phantom-like w(z) at late times, and the MOND consistency relation a₀ = cH₀/(2π). Includes English (11 pages) and German translation (11 pages).

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