Void Lensing Predictions in the Spectral Universe Model

Cosmic voids, vast underdense regions in the large-scale structure, serve as sensitive probes of gravitational theories due to their minimal matter content. In standard $\Lambda$CDM cosmology, void lensing is weak and primarily produces radial stretching from underdensity. Within the Spectral Universe Model---where spacetime emerges from entangled Planck-scale nod networks---gravitational effects arise from spectral distortions in nod connectivity rather than solely from classical density. Voids correspond to regions of reduced nod connectivity and weakened entanglement entropy, yielding modified effective geometry. We predict distinctive spectral lensing signatures in voids, including radial defocusing, weak negative convergence, subtle shear anisotropies, and scale-dependent distortions that systematically deviate from standard $\Lambda$CDM expectations. These signatures arise from spectral shifts in the eigenvalues of the nod connectivity matrix, $\lambda_i^{\rm void} < \lambda_i^{\rm background}$, which generate anomalous convergence given by \[ \kappa_{\rm void} \approx \kappa_{\Lambda\rm CDM} \cdot \langle \hat{\mathcal{F}}(\Omega) \rangle_{\rm void}, \] with $\langle \hat{\mathcal{F}}(\Omega) \rangle_{\rm void} \approx 0.7-0.9$. Such predictions align with emerging Euclid/DESI void suppression signatures and offer testable distinctions from standard cosmology. High-precision weak-lensing surveys may thus constrain emergent spacetime models and spectral gravity frameworks.