Fiscaletti, D.; Licata, I.; Tamburini, F. Bubble Nucleation from a de Sitter–Planck Background with Quantum Boltzmann Statistics. Symmetry2022, 14, 2297.
Fiscaletti, D.; Licata, I.; Tamburini, F. Bubble Nucleation from a de Sitter–Planck Background with Quantum Boltzmann Statistics. Symmetry 2022, 14, 2297.
Fiscaletti, D.; Licata, I.; Tamburini, F. Bubble Nucleation from a de Sitter–Planck Background with Quantum Boltzmann Statistics. Symmetry2022, 14, 2297.
Fiscaletti, D.; Licata, I.; Tamburini, F. Bubble Nucleation from a de Sitter–Planck Background with Quantum Boltzmann Statistics. Symmetry 2022, 14, 2297.
Abstract
– Every physical theory involving quantum fields does require a model of the quantum vacuum. The vacuum associated to quantum gravity must incorporate the prescriptions from both the theory of relativity and quantum physics. In this work, starting from the hypothesis of nucleation of sub-Planckian bubbles from a de Sitter vacuum, we study the necessary conditions to obtain baby universes, black holes and particles. The de Sitter-Planck background is described by an “infinite” Quantum Boltzmann statistics that generates fermions and bosons, and manifests itself as a deformation of the geometry that leads to a generalized uncertainty principle and a unified expression for the generalized Compton wavelength and event horizon size, drawing a connection between quantum black holes and elementary particles, the latter seen as a collective organization of the bubbles of the vacuum described by the generalized Compton wavelength. The quantum thermodynamics of black holes is then outlined and the physical history of each bubble is found to depend on the cosmological constant described in terms of thermodynamic pressure. Finally, a suggestive treatment of the Casimir effect is provided in the de Sitter-Planck background with Quantum-Boltzmann statistics and wormholes are explored as bubble coalescence processes.
Keywords
De Sitter-Planck background; sub-Planckian bubbles; quantum-Boltzmann statistics; generalized uncertainty relations; Quantum Black Holes; cosmological wormholes.
Subject
Physical Sciences, Quantum Science and Technology
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
