Path-Integral Quantization and Renormalization in Spectral Nod Gravity

This paper extends Spectral Nod Gravity (SNG) to path-integral quantization and renormalization. Spacetime emerges from discrete Planck-scale nod networks, with gravity from entanglement gradients modulated by dynamic operators (\(\fleq, \ceq, \pnex, \prev\)). The path integral is formulated as a sum over nod network histories, where operators regulate phase contributions and ensure ghost-free behavior. Renormalization arises naturally from nod discreteness, providing a UV cutoff at \(\ell_p\). Fluctuations (\(\fleq\)) generate scale-dependent corrections, while cyclic resets (\(\ceq\)) prevent divergences. We derive effective actions for cosmological scales and discuss implications for CMB anomalies, void lensing, and early universe dynamics, aligned with JWST, Euclid, DESI, and PIXIE/PRISM data.