Spiral Torsion Geometry: A Universal Theory of Topological Quantization and Complexity Control

We introduce Spiral Torsion Geometry (STG), a novel geometric framework that unifieschaos theory, topological quantization, and complexity dynamics. By extending classical dif-ferential geometry with memory-phase coupling fields, STG defines a torsion-based structurethat induces discrete topological states across dynamical systems. This work presents the fullmathematical construction of STG, validates its predictions with computational experiments,and demonstrates its power in controlling and predicting complexity in chaotic systems. Weconclude with universal scaling laws, bifurcation structures, and implications for physics, com-putation, and consciousness.