A hypersphere-like non-Abelian Yang monopole is identified in the 5D parameter space of a 4D non-Hermitian system and topologically characterized via the second Chern number.
Conservation of Isotopic Spin and Isotopic Gauge Invari- ance
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The paper develops a descriptive framework in which scientific reward in physics is understood as transformations of the Polydoxon, the structured set of viable theories, with reward scaling by the transformation's scope, centrality, depth, and future leverage.
Neural networks possess a propagation field of trajectories and Jacobians whose quality can be measured and optimized independently of endpoint loss, yielding better unseen-path generalization and reduced forgetting in continual learning.
Introduces an additional vector field to obtain gauge-invariant versions of the Proca and Yang-Mills-Proca equations.
Proposes strong and weak deformation cutoff regularizations for Yang-Mills theory using quasi-local probabilistic averaging and analyzes singular contributions to the first two quantum corrections plus new counter-vertices for consistency after renormalization.
An algebraic light-front model supplies unified leading-twist PDAs, LFWFs, GPDs, PDFs, EFFs, charge radii and IPS-GPDs for light, heavy-light and heavy-heavy pseudoscalar mesons from the same Bethe-Salpeter amplitudes.
Pauli-reduced spectrum of Dirac oscillator in uniform non-Abelian background yields λ_FM = g²β²/4m (aligned), λ_S = -g²β(β-2ρ)/4m (singlet), λ_T = -g²β(β+2ρ)/4m (triplet) with quadratic vs linear scaling.
Proposes hypercomplex Yang-Mills theory as a bipartite gauge field model with doubled internal degrees of freedom via commutative ring formalism.
citing papers explorer
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A hypersphere-like non-Abelian Yang monopole and its topological characterization
A hypersphere-like non-Abelian Yang monopole is identified in the 5D parameter space of a 4D non-Hermitian system and topologically characterized via the second Chern number.
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Polydoxon Transformations and Scientific Reward in Physics
The paper develops a descriptive framework in which scientific reward in physics is understood as transformations of the Polydoxon, the structured set of viable theories, with reward scaling by the transformation's scope, centrality, depth, and future leverage.
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The Propagation Field: A Geometric Substrate Theory of Deep Learning
Neural networks possess a propagation field of trajectories and Jacobians whose quality can be measured and optimized independently of endpoint loss, yielding better unseen-path generalization and reduced forgetting in continual learning.
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Gauge invariant generalizations of the Proca equation and the Yang-Mills-Proca equation
Introduces an additional vector field to obtain gauge-invariant versions of the Proca and Yang-Mills-Proca equations.
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Renormalization aspects of the Yang-Mills theory with a cutoff
Proposes strong and weak deformation cutoff regularizations for Yang-Mills theory using quasi-local probabilistic averaging and analyzes singular contributions to the first two quantum corrections plus new counter-vertices for consistency after renormalization.
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Unified Description of Pseudoscalar Meson Structure from Light to Heavy Quarks
An algebraic light-front model supplies unified leading-twist PDAs, LFWFs, GPDs, PDFs, EFFs, charge radii and IPS-GPDs for light, heavy-light and heavy-heavy pseudoscalar mesons from the same Bethe-Salpeter amplitudes.
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Non-Abelian Dirac oscillator in a uniform Yang--Mills background: spin--isospin mixing and singlet--triplet splitting
Pauli-reduced spectrum of Dirac oscillator in uniform non-Abelian background yields λ_FM = g²β²/4m (aligned), λ_S = -g²β(β-2ρ)/4m (singlet), λ_T = -g²β(β+2ρ)/4m (triplet) with quadratic vs linear scaling.
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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.