Tetrads in SU(3) × SU(2) × U(1) Yang–Mills geometrodynamics

DOI10.1142/S0219887818500457zbMath1386.83122arXiv1207.0912MaRDI QIDQ4609870

Alcides Garat

Publication date: 26 March 2018

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.0912

zbMATH Keywords

new groupsnew tetradsnew group isomorphismsgravity-Yang-Mills classical unification

Mathematics Subject Classification ID

Geometric group theory (20F65) Geometrodynamics and the holographic principle (83E05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) 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)

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Tetrads in low-energy weak interactions ⋮ Kinematical waves in spacetime ⋮ Quantum spinor reflections in Minkowski spacetime ⋮ Signature-causality reflection generated by Abelian gauge transformations ⋮ Proof for the weak and the strong energy conditions theorems in Einstein-Yang-Mills theories ⋮ 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

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