We reviewed the canonical quantisation of the geometry of the spacetime in the cases of a
simply and a non-simply connected manifold. In the former, we analysed the information …

A localized particle in Quantum Mechanics is described by a wave packet in position space,
regardless of its energy. However, from the point of view of General Relativity, if the particle's …

The non–zero value of Planck constant h underlies the emergence of several inequalities
that must be satisfied in the quantum realm, the most prominent one being Heisenberg …

We investigate the cosmology of mini primordial black holes (PBHs) produced by large
density perturbations. The mini PBHs evaporate promptly in the early Universe, and we …

Abstract The Generalized Uncertainty Principle (GUP) has emerged in numerous attempts to
a theory of quantum gravity and predicts the existence of a minimum length in Nature. In this …

We analyze the generalized uncertainty principle (GUP) impact onto the nonextensive black
hole thermodynamics by using Rényi entropy. We show that when introducing GUP effects …

This paper is based on the study of the paper of Scardigli and Casadio (2015)[56] where the
authors computed the light deflection and perihelion precession for the Generalized …

A bstract The remnants are investigated by fermions' tunnelling from a 4-dimensional
charged dilatonic black hole and a 5-dimensional black string. Based on the generalized …

In this paper, we argue that once quantum gravitational effects change the classical
geometry of a black hole and remove the curvature singularity, the black hole would not …

We address the question of regular primordial black holes with de Sitter interior, their
remnants and gravitational vacuum solitons G-lumps as heavy dark matter candidates …