The group law for the new internal-spacetime mapping between the group of internal Yang-Mills gauge transformations and the groups \((\otimes\mathrm{LB}1)^3\) and \((\otimes\mathrm{LB}2)^3\) of spacetime tetrad transformations
DOI10.1016/S0034-4877(24)00076-4MaRDI QIDQ6664552
Publication date: 16 January 2025
Published in: Reports on Mathematical Physics (Search for Journal in Brave)
group lawYang-Mills fieldsnew groupsnew groups isomorphismsnew tetradsnonnull electromagnetic fieldstetrad unification
Geometric group theory (20F65) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Geometries with differentiable structure (51H25)
Cites Work
- Title not available (Why is that?)
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- Tetrads in Yang-Mills geometrodynamics
- Classical Physics as geometry. Gravitation, electromagnetism, unquantized charge, and mass as properties of curved empty space
- Electrodynamics in the general relativity theory.
- Dynamical symmetry breaking in geometrodynamics
- Isomorphism between the local Poincaré generalized translations group and the group of spacetime transformations \((\otimes\mathrm{LB}1)^4\)
- Dynamical symmetry breaking in Yang-Mills geometrodynamics
- Monopole and Coulomb Field as Duals within the Unifying Reissner—Nordström Geometry
- Euler observers in geometrodynamics
- Invariant Theoretical Interpretation of Interaction
- Tetrads in geometrodynamics
- Gauge invariant method for maximum simplification of the field strength in non-Abelian Yang–Mills theories
- Conservation of Isotopic Spin and Isotopic Gauge Invariance
- Tetrads in low-energy weak interactions
- Tetrads in SU(3) × SU(2) × U(1) Yang–Mills geometrodynamics
- Signature-causality reflection generated by Abelian gauge transformations
- The new electromagnetic tetrads, infinite tetrad nesting and the non-trivial emergence of complex numbers in real theories of gravitation
- All Possible Symmetries of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>Matrix
- Ricci-Calculus
- General Relativity
- Kinematical waves in spacetime
- Singular gauge transformations in geometrodynamics
- Einstein–Maxwell tetrad grand unification
- Einstein-Maxwell-Yang-Mills tetrad grand unification
- Full spacetime inversion generated by electromagnetic abelian gauge transformations
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