A Universal Framework for Symmetry Breaking: Applications in Mathematics and Physics

This work presents a universal framework for symmetry breaking, providing a comprehensive approach to understanding and predicting both mathematical and physical symmetry-breaking processes. The framework offers insights into fundamental problems in mathematics, such as potential pathways toward solutions for the Riemann Hypothesis and the existence and smoothness of solutions to the Navier-Stokes equations. Additionally, it extends to physical systems by describing the evolution of spatial dimensions during the Big Bang and explaining Higgs symmetry breaking in particle physics. By integrating recursive energy interactions, dimensional evolution, and coherence stabilization, this model serves as a bridge between mathematical theory and physical phenomena, offering a rigorous and unified approach to understanding how symmetries emerge, evolve, and break across different scales and disciplines.