Riemann-Cartan space in O-theory
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The O-theory Lagrangian, obtained as a generalization of the weak interaction Lagrangian SU(2) × U(1) to the octonionic algebra, is analyzed. It is shown that whenever the model is chiral, it inevitably leads to the Riemann-Cartan space. The torsion on the Earth’s surface is calculated. A comparison between the obtained value and the available empirical data is presented. Furthermore, it is inferred that the effect of torsion is small but cumulative.
KeywordsDirac Equation Spinor Particle Lepton Sector Lorentz Violation Octonionic Algebra
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