Escribe una PREreview

We present a comprehensive validation of quantum gravity emergence within the framework of the Collective Unified Equation (CUE), a theoretical model that unifies curvature, coherence, and entanglement through a dynamically evolving scalar field Ψ. Leveraging a multimodal methodology that combines symbolic reconstruction, numer- ical simulations, Bayesian inference, and stability analysis, we explore the behavior of effective gravitational curvature R(3) eff across renormalization group (RG) scales. We simulate the CUE field evolution in a stabilized quantum regime and recon- struct the curvature evolution equations symbolically, revealing coherent structure in the Ψ–αent–κ interaction. Bayesian inference yields a coherence coupling constant χ ≈ 1.003, which minimizes residual divergence between symbolic and observed flow dynamics. Eigenvalue analysis of the Jacobian matrix near the mid-RG point confirms the existence of a saddle-type fixed point with one stable and two unstable directions. Phase portrait analysis further substantiates the dynamical coherence and critical flow behavior in this emergent regime. Our findings provide strong evidence that the CUE framework supports a self- consistent, predictive, and numerically validated formulation of quantum gravity grounded in emergent coherence and entanglement feedback, potentially bridging quantum field dynamics and macroscopic geometry.