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arXiv · 1503.03911

Planck Scale Physics, Gravi-Weak Unification and the Higgs Inflation

L. V. Laperashvili·H. B. Nielsen·B. G. Sidharth
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Abstract

Starting with a theory of the discrete space-time at the Planck scale, we developed a Gravi-Weak Unification (GWU) - a $Spin(4,4)$-invariant model unified gravity with weak $SU(2)$ gauge and Higgs fields in the visible and invisible sectors of the Universe. Considering the Gravi-Weak symmetry breaking, we showed that the obtained sub-algebras contain the self-dual left-handed gravity in the OW, and the anti-self-dual right-handed gravity in the MW. Finally, at the low energy limit, we have only the Standard Model (SM) and the Einstein-Hilbert's gravity. The Froggatt-Nielsen's prediction of the top-quark and Higgs masses was given in the assumption that there exist two degenerate vacua in the SM. This prediction was improved by the next order calculations. We have developed a model of the Higgs Inflation using the GWU action. According to this inflationary model, a scalar field (inflaton) starts trapped from the "false vacuum" of the Universe at the Higgs field's VEV $v_2 \sim 10^{18}$ GeV. The interaction between the ordinary and mirror Higgs fields $\phi$ and $\widetilde{\phi}$ generates a Hybrid model by A.~Linde of the Higgs Inflation in our Universe.

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L. V. Laperashvili, H. B. Nielsen, B. G. Sidharth. 2015-03-12. Planck Scale Physics, Gravi-Weak Unification and the Higgs Inflation. https://arxiv.org/abs/1503.03911

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