Spectral Graviton Condensation in Spectral Nod Gravity

This paper explores spectral graviton condensation within the ghost-free Spectral Nod Gravity (SNG) framework, integrating the fluctuating equivalence operator (\(\fleq\)) with discrete Planck-scale nod structures. Gravitons form spectral condensates in entangled nod networks, where gravity emerges from collective interactions modulated by state-dependent relations. We quantify the combined graviton power \(\mathcal{P}_g \fleq (N_g \cdot \delta_n \cdot \eta_e)^\alpha \bar{\epsilon}\), with spectral energy density \(\rho_g^{(s)} \fleq \mathcal{P}_g / V_c\) providing effective negative pressure for dark energy. The model incorporates vacuum-derived matter, photon's effective mass \(m \fleq E/c^2\), and black holes as Cosmic Grinders redistributing energy into spectral layers. Simulations using SciPy and NumPy validate cosmological implications, including modified Friedmann evolution with fluctuating densities and CMB power spectrum anomalies like low-\(\ell\) enhancements. Predictions include lab-testable chiral graviton modes, anomalous void lensing, and grinder-driven structure formation, aligned with 2025--2026 data from JWST, Euclid, DESI, LIGO, and PIXIE/PRISM.