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Quantum Black Holes: A Critical Analysis
by Y. Leblanc (eFieldTheory.COM)

Paperback: 256 pages
Publisher: CreateSpace (April 15, 2010)
ISBN-10: 1450542980
ISBN-13: 978-1450542982
List Price: $39.95 (USD)

This book presents an in-depth critical analysis of Bekenstein-Hawking Black Hole Thermodynamics. It also reviews the work of the Belinski group showing the non-existence of the Unruh and Hawking effects. These analyses lead to the collapse of Hawking's theory of black holes as thermal objects, leading to the breakdown of both the Area law and the Holographic principle. Quantum black holes are instead identified as pure state resonances (Gamow states) at the Planck scale.

Quantum Black Holes: A Critical Analysis
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eFTC-211101

Particle-Hole Description of the Bogoliubov Dilute Bosonic Gas Model in Small (Finite) Systems
11 November 2021

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Author: Y. Leblanc (eFieldTheory.COM)
Email:

Abstract

The standard theory of Bose-Einstein condensation (BEC) assumes that most particles occupy the ground state of the system. This view is based on the Bose-Einstein distribution for bosons. But such a distribution is easily shown to be pathological, especially very near the ground state where its variance actually blows up. On the other hand, a careful derivation of the boson distribution for finite systems yields a new and perfectly well behaved generic form compatible with a bosonic particle-hole description of the system. Reviewing the zero temperature canonical transformation theory to particles and holes for such a generic distribution, we succesfully apply it to the Bogoliubov theory of the dilute (weakly interacting) bosonic gas, a well known theoretical model of quantum liquids and superfluidity. We recover Bogoliubov's results without invoking Bose-Einstein condensation. Therefore, similarly to the case of the ideal gas, we find that the BEC description is replaced by a bosonic particle-hole description in the fully interacting case. We also describe the emergence of a new exclusion principle for finite systems which we call the Pauli-Bose exclusion principle.

Copyright © 2021 Yvan Leblanc. All rights reserved

PACS: 05.30.Ch, 03.70.+k, 11.10.Gh

Cite as: Leblanc, Y., "Particle-Hole Description of the Bogoliubov Dilute Bosonic Gas Model in Small (Finite) Systems", manuscript no. eFTC-211101 (2021). http://www.efieldtheory.com/abs/?eFTC-211101; doi:10.13140/RG.2.2.26730.44488.

 
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