Paper 56: Coherence-Based Nucleosynthesis Without a Hot Big Bang

We present a coherence-driven alternative to Big Bang nucleosynthesis (BBN) that derives the observed abundances of light elements from structural phase transitions within a rotating Holosphere lattice. Rather than requiring a hot, dense early universe, we propose that hydrogen, helium, deuterium, and lithium form through angular coherence resonance and shell activation in spatially distributed regions of the cosmic lattice. The nuclear binding of these elements emerges from quantized strain alignment across Holosphere boundaries. Elemental yields are determined by coherence zone topology, resonance energy thresholds, and phase decay geometry—not by temperature or baryon-to-photon ratios. This model naturally explains spatial variation in element ratios, avoids the horizon and entropy problems, and eliminates the need for reheating or thermal equilibrium. We show that helium-4 and deuterium abundances follow directly from the geometry and population density of coherent triadic shells, offering testable alternatives to BBN in both voids and galactic walls.