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.
Abstract
Version 3 – final revised version. Changes in this version: - Updated beta functions to the complete expressions from Hamada the paper now focuses solely on the RG analysis. - The numerical fixed point values remain: ã* ≈ 0. 17, leading to αCMB ≈ 1. 7×10⁹ τ².