Preprint Review Version 1 Preserved in Portico This version is not peer-reviewed

# Explaining Defects of the Universal Vacua with Black Holes-Hedgehogs and Strings

Version 1 : Received: 29 November 2018 / Approved: 30 November 2018 / Online: 30 November 2018 (10:23:29 CET)

A peer-reviewed article of this Preprint also exists.

Das, C.R.; Laperashvili, L.V.; Nielsen, H.B.; Sidharth, B.G. Explaining Defects of the Universal Vacua with Black Holes-Hedgehogs and Strings. Universe 2019, 5, 78. Das, C.R.; Laperashvili, L.V.; Nielsen, H.B.; Sidharth, B.G. Explaining Defects of the Universal Vacua with Black Holes-Hedgehogs and Strings. Universe 2019, 5, 78.

Journal reference: Universe 2019, 5, 78
DOI: 10.3390/universe5030078

## Abstract

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 $v_1\approx 246$ 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 the 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 $\delta\sim 10^{-21}$ 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 ($T_c\sim 10^{18}$ 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. This theory predicts the stability of the EW-vacuum and the accuracy of the MPP.

## Subject Areas

hedgehogs; topological defects; multiple point principle

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