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.
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The thesis derives an analytic family of Riemannian metrics on the Gromoll-Meyer exotic 7-sphere via Kaluza-Klein reduction, identifies the maximal-isometry case, and introduces a machine-learning algorithm for finding Einstein metrics on general manifolds.
Proposes hypercomplex Yang-Mills theory as a bipartite gauge field model with doubled internal degrees of freedom via commutative ring formalism.
A pedagogical review summarizing analytic predictions and recent lattice results for theta-dependence and topological susceptibility in QCD.
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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.
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A Physicist's Visit to Exotic Spheres
The thesis derives an analytic family of Riemannian metrics on the Gromoll-Meyer exotic 7-sphere via Kaluza-Klein reduction, identifies the maximal-isometry case, and introduces a machine-learning algorithm for finding Einstein metrics on general manifolds.
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Hypercomplex Yang-Mills Theory as a Bipartite Gauge Field Model
Proposes hypercomplex Yang-Mills theory as a bipartite gauge field model with doubled internal degrees of freedom via commutative ring formalism.
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Topological Susceptibility and QCD at Finite Theta Angle
A pedagogical review summarizing analytic predictions and recent lattice results for theta-dependence and topological susceptibility in QCD.