Coherent Convergence Continuum Theory (CCCT): A Unified Framework for Emergent Seed-Like Geometric Projections in Refractive and Filamentary Wave Systems

This paper proposes the Coherent Convergence Continuum Theory (CCCT), a speculative but physically grounded framework describing how coherent wave-propagating systems containing refractive gradients, caustic convergence, and filamentary organization may preferentially generate lower-dimensional geometric projections characterized by overlapping circular arc intersections analogous to classical seed-of-life geometry. The framework emerged from iterative synthetic simulation studies comparing atmospheric refractive systems, moist caustic convergence fields, and simplified filamentary plasma-like systems against matched geometric controls using spatial correlation, Fourier-radial analysis, edge reconstruction, and coherence-preserving uplift metrics. The results suggest that overlapping circular-intersection geometries may emerge probabilistically as lower-dimensional projection states in coherent convergence systems. This paper further proposes a refractive-to-filamentary continuum connecting atmospheric refractive organization and plasma-like coherence phenomena through shared convergence dynamics. Version 2: proofread and polished final text.