A geometric model is presented which unifies the three fundamental physical interactions: gravitational, electromagnetic, and weak. All of the indicated fields are unified on the basis of a single geometrical scheme – the geometry of a 5-dimensional metric-affine space-time with curvature, torsion, and nonmetricity. The initial Lagrangian of the proposed interactions unification model consists in one geometrical quantity – the scalar curvature 5R of five-dimensional metric-affine space-time. This initial Lagrangian L = 5R contains within itself a description of not only the three indicated fundamental physical interactions, but also the scalar Higgs fields which govern the induction of masses on the intermediate vector bosons – the carriers of the weak interaction.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 21–29, February, 2013.
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Krechet, V.G. Five-dimensional geometric model of gravitational and electroweak interactions. Russ Phys J 56, 133–143 (2013). https://doi.org/10.1007/s11182-013-0009-5
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DOI: https://doi.org/10.1007/s11182-013-0009-5