RG Enhancement of the R² Coupling in Emergent Gravity

Key Points

• The aim is to investigate the renormalization group enhancement of the R² coupling in emergent gravity.
• Updated beta functions from literature incorporating explicit b-dependence.
• Applied central finite differences for stability matrix calculations with high accuracy.
• Conducted numerical integration of the RG flow across scales from Planck to inflation.
• Confirmed critical exponents indicating all three couplings are relevant.
• Identified fixed points with values approximately ã* ≈ 0.17, leading to α_CMB ≈ 1.7×10⁹ τ².