Gravi-Weak Unification and the Black-Hole-Hedgehogs Solution with Magnetic Field Contribution

In the present paper, we investigated the gravitational black-hole-hedgehogs solution with magnetic field contribution in the framework of the f(R)--gravity described by the Gravi-Weak unification model. Assuming the Multiple Point Principle (MPP), we considered the existence of the two degenerate vacua of the Universe: the first Electroweak (EW) vacuum with $v_1 approx 246$ GeV (true vacuum), and the second Planck scale (false vacuum) with $v_2 sim 10^{18}$ GeV. In these vacua, we investigated different topological defects. The main aim of this paper is an investigation of the black-hole-hedgehog configurations as defects of the false vacuum. We have obtained the solution which corresponds to a global monopole, that has been swallowed by the black-hole with core mass $M_{BH}approx 3.65times 10^{18},, {rm{GeV}}$ and radius $delta approx 6cdot 10^{-21} {rm{GeV}}^{-1}.$ We investigated the metric in the vicinity of the black-hole-hedgehog and estimated its horizon radius: $r_happrox 1.14 delta$. We have considered the phase transition from the false vacuum to the true vacuum and confirmed the stability of the EW--vacuum.

Degenerate Vacua of the Universe and What Comes Beyond the Standard Model

We present a new cosmological model of the Universe based on the two discoveries: 1. cosmological constant is very small, and 2. Nature shows a new law in physics called Multiple Point Principle (MPP). The MPP predicts the two degenerate vacua of the Universe with VEV $v_1approx 246$ Gev and $v_2sim 10^{18}$ GeV, which provide masses of the Higgs boson and top-quark. A new cosmological model assumes the formation of two universal bubbles. The Universe at first stage of its existing is a bubble with a de-Sitter spacetime inside, having black-holes-hedgehogs as topological defects of the vacuum. Such a bubble has a false vacuum with VEV $v_2$, which decays very quickly. Cooling Universe has a new phase transition, transforming the false vacuum to the true (Electroweak) vacuum. Hedgehogs confined, and the universal bubble is transformed into the bubble having spacetime with FLRW-metric and the vacuum with new topological defects of $U(1)_{(el-mag)}$ group: magnetic vortices and Sidharths pointlike defects. The problem of stability/metastability of the EW-vacuum is investigated. Noncommutativity of the vacua spacetime manifold is discussed. The prediction of a new physics is given by the future observations at LHC of the triplet $SU(2)$ Higgs bosons (at energies $Esim 10$ TeV), and/or of the new bound states $6t + 6bar t$ formed by top-antitop quarks (at $Esim 1$ TeV). The problem What comes beyond the Standard Model is discussed at the end of this paper.

Black Holes-Hedgehogs and Strings as Defects of the Universal Vacua

In the present paper, assuming the Multiple Point Principle (MPP) as a new law of Nature, we considered the existence of the two degenerate vacua of the Universe: a) the first Electroweak (EW) vacuum at $v_1approx 246$ GeV -- true vacuum, and b) the second Planck scale false vacuum at $v_2 sim 10^{18}$ GeV. In these vacua we investigated different topological defects. The main aim of this paper is an investigation of the black-hole-hedgehogs configurations as defects of the false vacuum. In the framework of the $f(R)$ gravity, described by the Gravi-Weak unification model, we considered a black-hole solution, which corresponds to a hedgehog -- global monopole, that has been swallowed by the black-hole with mass core $M_{BH}sim 10^{18}$ GeV and radius $deltasim 10^{-21}$ GeV$^{-1}$. Considering the results of the hedgehog lattice theory in the framework of the $SU(2)$ Yang-Mills gauge-invariant theory with hedgehogs in the Wilson loops, we have used the critical value of temperature for the hedgehogs confinement phase ($T_csim 10^{18}$ GeV). This result gave us the possibility to conclude that the SM shows a new physics (with contributions of the $SU(2)$-triplet Higgs bosons) at the scale $sim 10$ TeV. Theory predicts the stability of the EW-vacuum and the accuracy of the MPP.

Topological Structure of the Vacuum, Cosmological Constant and Dark Energy

In this review we present a theory of cosmological constant and Dark Energy (DE), based on the topological structure of the vacuum. The Multiple Point Principle (MPP) is reviewed. It demonstrates the existence of the two vacua into the SM. The Froggatt-Nielsens prediction of the top-quark and Higgs masses is given in the assumption that there exist two degenerate vacua in the SM. This prediction was improved by the next order calculations. We also considered B.G. Sidharths theory of cosmological constant based on the non-commutative geometry of the Planck scale space-time, what gives an extremely small DE density providing the accelerating expansion of the Universe. Theory of two degenerate vacua - the Planck scale phase and Electroweak (EW) phase - also is reviewed, topological defects in these vacua are investigated, also the Compton wavelength phase suggested by B.G. Sidharth was discussed. A general theory of the phase transition and the problem of the vacuum stability in the SM is reviewed. Assuming that the recently discovered at the LHC new resonance with mass $m_S simeq 750$ GeV is a new scalar $S$ bound state $6t + 6bar t$, earlier predicted by C.D. Froggatt, H.B. Nielsen and L.V. Laperashvili, we try to provide the vacuum stability in the SM and exact accuracy of the MPP.