On the noncommutative and nonassociative geometry of octonionic space time, modified dispersion relations and grand unification
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Publication:3529826
DOI10.1063/1.2752013zbMath1144.81321OpenAlexW2170212243MaRDI QIDQ3529826
Publication date: 14 October 2008
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.2752013
Unified quantum theories (81V22) Spinor and twistor methods applied to problems in quantum theory (81R25) Applications of global differential geometry to the sciences (53C80) Kaluza-Klein and other higher-dimensional theories (83E15)
Related Items (21)
Geometrical applications of split octonions ⋮ ON OCTONIONIC GRAVITY, EXCEPTIONAL JORDAN STRINGS AND NONASSOCIATIVE TERNARY GAUGE FIELD THEORIES ⋮ Rotations in the space of Split octonions ⋮ Quaternionic-valued gravitation in \(8D\), grand unification and Finsler geometry ⋮ Octonion quantum chromodynamics ⋮ Black holes with MDRs and Bekenstein-Hawking and Perelman entropies for Finsler-Lagrange-Hamilton spaces ⋮ On nonlinear quantum mechanics, noncommutative phase spaces, fractal-scale calculus and vacuum energy ⋮ Nonassociative Geometry of Nonholonomic Phase Spaces with Star R‐flux String Deformations and (non) Symmetric Metrics ⋮ Decoupling and Integrability of Nonassociative Vacuum Phase Space Gravitational Equations With Star and R‐flux Parametric Deformations ⋮ Nonassociative black holes in R-flux deformed phase spaces and relativistic models of Perelman thermodynamics ⋮ Quaternion-octonion \(SU(3)\) flavor symmetry ⋮ \(\mathbb{R} \otimes \mathbb{C}\otimes \mathbb{H}\otimes \mathbb{O}\)-valued gravity as a grand unified field theory ⋮ Quaternion-octonion analyticity for Abelian and non-Abelian gauge theories of dyons ⋮ THE CLIFFORD SPACE GEOMETRY OF CONFORMAL GRAVITY AND U(4) × U(4) YANG–MILLS UNIFICATION ⋮ Linearized electromagnetic and gravito-Heavisidian chirality in split octonion space-time ⋮ On \(\mathbf{C} \otimes \mathbf{H} \otimes \mathbf{O}\)-valued gravity, sedenions, Hermitian matrix geometry and nonsymmetric Kaluza-Klein theory ⋮ Exceptional Jordan matrix models, octonionic strings/branes and star product deformations ⋮ On Jordan-Clifford algebras, three fermion generations with Higgs fields and a \(\mathrm{SU}(3) \times \mathrm{SU}(2)_L \times \mathrm{SU}(2)_R \times \mathrm{U}(1)\) model ⋮ The Riemann curvature tensor and Higgs scalar field within CAM theory ⋮ BORN'S RECIPROCAL GENERAL RELATIVITY THEORY AND COMPLEX NON-ABELIAN GRAVITY AS GAUGE THEORY OF THE QUAPLECTIC GROUP: A NOVEL PATH TO QUANTUM GRAVITY ⋮ OCTONION AND CONSERVATION LAWS FOR DYONS
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