An algebraic tensor ring decomposition converts Yang-Mills nonlinearities into tractable differential-algebraic ideals whose bifurcation analysis produces exact solutions including mass-gapped color waves, screened dyonic tubes, and chaotic SU(3) phases.
Solving for the Cartan temporal fields yields the algebraic locking:c 0 =−( ˙θV − ˙θU) and Γ =− 1√ 3( ˙θV + ˙θU)
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Systematic Extraction of Exact Yang-Mills Solutions via Algebraic Tensor Ring Decomposition
An algebraic tensor ring decomposition converts Yang-Mills nonlinearities into tractable differential-algebraic ideals whose bifurcation analysis produces exact solutions including mass-gapped color waves, screened dyonic tubes, and chaotic SU(3) phases.