Vacuum fluctuations, the size of extra spatial dimensions and microscopic black holes at CERN

TL;DR

This paper explores the relationship between vacuum fluctuations and the size of extra dimensions, suggesting that the likelihood of producing microscopic black holes at CERN is low and proposing alternative black hole disintegration mechanisms.

Contribution

It introduces a novel conjecture linking extra dimension size to quantum vacuum fluctuations and challenges existing assumptions about black hole production and decay at CERN.

Findings

Extra dimensions may be related to quantum vacuum fluctuations.

Production of mini black holes at CERN is unlikely under this conjecture.

Black hole disintegration might not follow Hawking radiation if matter-antimatter repulsion exists.

Abstract

We have suggested, that the size of extra spatial dimensions (if they exist) should be related to the quantum vacuum fluctuations; an extra dimension must be sufficiently large to allow appearance of virtual quark-antiquark pairs, which are an inherent part of the physical vacuum in quantum chromodynamics. We argue that the conjecture of extra dimensions with the universal size equal to the reduced Compton wavelength of a pion is a serious alternative to the postulated universal mass in the theory of large extra dimensions (LED). Our conjecture leads to the conclusion that the production of artificial mini black holes at LHC at CERN is unlikely. It is shown that the recent lower limit on the mass of a microscopic black hole (established by CMS collaboration at CERN) may be interpreted as the upper limit (equal to six) for the number of extra dimensions. Additionally, we challenge the current wisdom that mini black holes disintegrate through the Hawking radiation. We point that it might be wrong, if there is a hypothetical repulsion between matter and antimatter; resulting in the creation of particle-antiparticle pairs from the quantum vacuum and matter-antimatter asymmetry in the spectrum of radiation.