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.
Consis- tency requiresκ=±1 andλ= 1/(ω 2 −k 2)
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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.