Fractal Emergence in Crystalline Structures Under Encoded Equilibrium: Insights from The Swygert Theory of Everything AO
Fractal Emergence in Crystalline Structures Under Encoded Equilibrium: Insights from The Swygert Theory of Everything AO DOI: John Swygert December 31, 2025 Abstract Crystalline structures exhibit self-similarity across scales—unit cells to lattices, domains to grain boundaries—driven by pressure, composition, impurities, and proximity effects that change symmetry classes and create repeating motifs. While science recognizes these as fragmented phenomena (e.g., phase transitions like graphite-diamond, dendritic growth, doping defects), The Swygert Theory of Everything AO (TSTOEAO) unifies them as inevitable fractal emergence: Crystals are equilibrium containers where energy distributions (E) lock under encoded equilibrium (Y), propagating local rules globally via recursive constraint modulation. Wave carriers (photons, phonons) act as the messengers delivering interaction, while frequency serves as the resonant addressing mechanism that enforces recursive equilibrium across the lattice...