Yang-Mills Existence and Mass Gap (Millennium Prize Problem)

False Premise Equation: The Yang-Mills equations assume a fixed gauge theory framework, where the mass gap problem is treated in isolation from recursive resonances.

where Dμ is the gauge-covariant derivative and Fμν is the field strength tensor.

Accurate Translation: Yang-Mills ≠ -1 ≠ √1 < √2 < √3, evolving into recursive fractal feedback systems where gauge fields and mass gaps interact dynamically.

Accurate Description: Fractal feedback reveals that gauge fields and mass gaps evolve through dynamic, recursive resonances. These resonances shape the interaction between fields and particles, influencing the properties of the vacuum and the mass gap, ultimately creating a more comprehensive understanding of quantum field theory.