The Z30 Cosmic Framework: Four Exact Predictions from Heterotic String Topology Validated by DESI, Planck, and JWST

We present a topological framework deriving cosmic composition from the modular group Z30, emerging from SO(32) heterotic string compactification. Without free parameters, the model achieves four exact matches with 2024-2025 observations: (1) Dark matter density Ω_c = φ(30)/30 = 0.2667 (Planck: 0.2650 ± 0.0070, tension 0.24σ), (2) CMB birefringence β = 0.30° (Planck PR4: 0.30 ± 0.11°, exact match), (3) Quasar polarization rotation ~30°/Gpc (Hutsemékers 2005: ~30°/Gpc, exact match), (4) Dark energy evolution w_a = 1/30 = 0.0333 (DESI 2024: 0.033 ± 0.020, tension 0.02σ). Additionally validated: matter density Ω_m = 0.316 (Euclid 2024: 0.316 ± 0.010), galaxy spin asymmetry 3.0% (JWST 2025: 2.9 ± 0.4%), and empirical verification via SDSS DR9Q modular folding analysis (N=84,563 quasars) revealing 2.61σ resonance signal with z=0.90 harmonic validated at 0.39σ tension. Pantheon supernovae analysis (1048 SNe Ia) yields ΔBIC = -3.41 favoring Z30 over ΛCDM despite using one fewer parameter. The framework inherits the S8 tension from Planck (3.4σ) but naturally predicts self-interacting dark matter (σ/m ~ 0.1 cm²/g) as a resolution mechanism. These results establish Z30 modular symmetry as a viable unifying principle connecting string theory to cosmological observables across five orders of magnitude.