Validation of Universe OS V10-B (Exponent-Only) Specifications: Absolute Value Junction of Large Scale Structure Anomalies via Proof Core v1.2 (Vol. 2)

This paper (Vol. 2) provides a geometric resolution to three major observational anomalies in large-scale cosmic structures by utilizing the frozen specifications of Universe OS V10-B. Grounded in the absolute constants of Proof Core v1.2, we derive the S8 tension, the cosmic dipole anomaly, and the CMB low-$\ell$ power deficit as necessary consequences of the system's synchronization lag ($\Delta_{\mathrm{Res}}$) and projection boundary ($N_{\mathrm{proj}}$). By treating the universe as a discrete computational lattice with a 128-division dyadic quantization (W-Flag), we prove the absolute convergence of theoretical values with observational data without the use of free parameters. The S8 tension is identified as a 7.17% throughput decay, the dipole anomaly as node interference at $n=13, 21$, and the CMB deficit as a resolution limit of the $N_{\mathrm{proj}}$ manifold.