Riemann-Cartan space in O-theory

V.Yu. Dorofeev1

Abstract

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.

References

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