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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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Statistical Distributions and Particle-Hole Canonical Transformations in Small (Finite) Systems
3 August 2014
(Updated september 14, 2014)

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Author: Y. Leblanc (eFieldTheory.COM)


In a previous paper we successfully identified the fermionic tilde degrees of freedom in Thermo Field Dynamics (TFD) as ordinary many-body physical fermion holes. In this paper we analyze the more general problem of statistical distributions and particle-hole canonical transformations in small (finite) systems, both for bosons and fermions. Unlike the fermion distribution case which is well-behaved, singularities and lack of single-valuedness plague the traditional Bose-Einstein distribution. Such a distribution cannot describe the Bose-Einstein condensed state. A microcanonical approach on the other hand reveals a well-behaved distribution over the entire energy spectrum (positive and negative) and so allows for the existence of physical bosonic holes which are necessary in TFD. The traditional Bose-Einstein distribution is recovered in the thermodynamic limit for positive energies. Bosonic holes are found in many physical problems of condensed matter as well as nuclear physics.

Copyright © 2014 Yvan Leblanc. All rights reserved

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

Cite as: Leblanc, Y., "Statistical Distributions and Particle-Hole Canonical Transformations in Small (Finite) Systems", manuscript no. eFTC-140801 (2014).; doi:10.13140/RG.2.1.1261.2960.

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