Paper 76: Directional Boundary Interference from Hexagonal Coherence Tiling as a Falsifiable Model of CMB Anisotropy

We present a falsifiable model of Cosmic Microwave Background (CMB) anisotropy based on direction-dependent modulation from a finite SU(2) coherence lattice. Extending Holosphere Theory, we derive a directional modulation envelope Mℓ(n^)M_\ell(\hat{n})Mℓ(n^) shaped by angular strain and polyhedral tiling with pentagonal defects. This framework explains observed anomalies—including hemispheric power asymmetry, Cold Spot suppression, and high-ℓ\ellℓ harmonic dropout—as deterministic consequences of coherence breakdown and phase interference. Using a strain field seeded by cosmological phase transitions, we simulate directional power spectra and polarization correlations that align with Planck observations. The model preserves all five acoustic peaks, reproduces triadic trough structure, and achieves a reduced chi-squared of χν2=5.51\chi^2_\nu = 5.51χν2=5.51, without fitting. These results establish Holosphere Theory as a physically grounded, parameter-free alternative to ΛCDM cosmology.