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

TL;DR

This paper explores the existence of topological defects like black-hole-hedgehogs within a universe with two degenerate vacua, using the Multiple Point Principle and $f(R)$ gravity, suggesting new physics at around 10 TeV.

Contribution

It introduces a novel analysis of black-hole-hedgehogs as vacuum defects within the MPP framework, linking topological defects to potential new physics at TeV scales.

Findings

Black-hole-hedgehogs are viable vacuum defects in the false vacuum.

The Standard Model may exhibit new physics at approximately 10 TeV.

The electroweak vacuum is predicted to be stable, consistent with MPP.

Abstract

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 $v_1\approx 246$ 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 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 $\delta\sim 10^{-21}$ 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. Theory predicts the stability of the EW-vacuum and the accuracy of the MPP.