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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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Microcanonical KMS Conditions and Propagators for Small (Finite) Systems
24 April 2015

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Author: Y. Leblanc (eFieldTheory.COM)


A straightforward calculation of the Kubo-Martin-Schwinger (KMS) conditions for small (finite) systems is presented in the microcanonical ensemble for stable or unstable constituents. Such conditions are also known as statistical state conditions in Statistical Field Dynamics (SFD) as well as thermal state conditions in equilibrium (TFD) or non-equilibrium Thermo Field Dynamics (NETFD). Contrary to the case of the large (thermodynamical) systems, the small systems KMS conditions do not define the vacuum (many-body ground state) but rather provide relations between neighboring statistical ground states in terms of entropy changes. Large systems results are recovered in the thermodynamical limit, when the limit exists. We discuss the implications on particle propagators and leave the analysis on perturbation theory to future research.

Copyright © 2015 Yvan Leblanc. All rights reserved

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

Cite as: Leblanc, Y., "Microcanonical KMS Conditions and Propagators for Small (Finite) Systems", manuscript no. eFTC-150401 (2015).; doi:10.13140/RG.2.1.2309.8726.

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