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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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α-Representations of the Microcanonical KMS Conditions for Small (Finite) Systems
21 January 2016

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Author: Y. Leblanc (eFieldTheory.COM)


We derive the microcanonical Kubo-Martin-Schwinger (KMS) conditions for small (finite) systems in the general α-representations. Propagators are also calculated. We find that only the α = 1 and α = 0 representations allow for the existence of statistical Bogoliubov transformations as well as perturbation theory in terms of Feynman diagrams.

Copyright © 2016 Yvan Leblanc. All rights reserved

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

Cite as: Leblanc, Y., "α-Representations of the Microcanonical KMS Conditions for Small (Finite) Systems", manuscript no. eFTC-160101 (2016).; doi:10.13140/RG.2.1.2083.9447.

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