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Spin(8) gauge field theory
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In this article, a theoretical foundation for spin(8) gauge field theory is proposed to explain the numerical results announced in a previous paper, and a spin-8 gauge field model is proposed.Abstract:
A theoretical foundation for spin(8) gauge field theory is proposed to explain the numerical results announced in a previous paper.read more
Citations
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Spin Gauge Theory of Gravity in Clifford Space: A Realization of Kaluza-Klein Theory in 4-Dimensional Spacetime
TL;DR: In this paper, the generalized Dirac field is assumed to be a polyvector-valued object (a Clifford number) which can be written as a superposition of four independent spinors, each spanning a different left ideal of Clifford algebra.
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On the noncommutative and nonassociative geometry of octonionic space time, modified dispersion relations and grand unification
TL;DR: In this article, it was shown that the flux of the SU(2) Yang-Mills field strength Fμν through the internal isospin space yields corrections O(1∕MPlanck2) to the energy-momentum dispersion relations without violating Lorentz invariance as it occurs with Hopf algebraic deformations of the Poincare algebra.
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Kaluza-Klein theory without extra dimensions: Curved Clifford space
TL;DR: In this article, a theory in which 16-dimensional curved Clifford space (C-space) provides a realization of Kaluza-Klein theory is investigated, and it is shown that the covariant Dirac equation in C-space contains Yang-Mills fields of the U ( 1 ) × SU ( 2 ) × U ( 3 ) group as parts of the generalized spin connection.
Journal ArticleDOI
Spin gauge theory of gravity in clifford space: a realization of kaluza–klein theory in four-dimensional space–time
TL;DR: In this paper, the generalized Dirac field is assumed to be a polyvector-valued object (a Clifford number) which can be written as a superposition of four independent spinors, each spanning a different left ideal of Clifford algebra.
Journal ArticleDOI
On modified Weyl–Heisenberg algebras, noncommutativity, matrix-valued Planck constant and QM in Clifford spaces
TL;DR: In this article, Yang's noncommutative spacetime algebra and the area-coordinates algebra associated with Clifford spaces are constructed and a novel Weyl-Heisenberg algebra in Clifford spaces is constructed that is based on a matrix-valued extension of Planck's constant.
References
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CP Violation in the Renormalizable Theory of Weak Interaction
TL;DR: In this article, it was shown that no CP-violating interactions exist in the quartet scheme without introducing any other new fields, and that the strong interaction must be chiral SU ( 4) X SU( 4) invariant as precisely as the conservation of the third component of the iso-spin.
Book
The Topology of Fibre Bundles.
TL;DR: In this paper, a succint introduction to fiber bundles is provided, which includes such topics as differentiable manifolds and covering spaces, and a brief survey of advanced topics, such as homotopy theory and cohomology theory, before using them to study further properties of fibre bundles.