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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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Non-Equilibrium and Quasi-Equilibrium Statistical Field Dynamics in Rigged Hilbert Space
22 October 2016

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Author: Y. Leblanc (eFieldTheory.COM)


Statistical Field Dynamics (SFD) is re-expressed in a complex energy basis within rigged Hilbert space (RHS), both in the non-equilibrium and quasi-equilibrium cases. We show that, in the context of perturbation theory, the so-called Nakamura-Yamanaka renormalization condition is equivalent to the Chu-Umezawa diagonalization condition and leads to a consistent SFD in the quasi-equilibrium limit, characterized by an exact spectral density function given by the Nakanishi complex delta function on the renormalized energy shell. The Nakanishi complex delta function is in fact the exact spectral density function of all interacting Quantum Field Theories (QFT) in RHS. Applications range from the Gamow nuclear shell model to alpha or clusters condensation in nuclei, Bose-Einstein condensation (BEC) in trapped atomic gases or multifragmentation in heavy ions collisions.

Copyright © 2016 Yvan Leblanc. All rights reserved

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

Cite as: Leblanc, Y., "Non-Equilibrium and Quasi-Equilibrium Statistical Field Dynamics in Rigged Hilbert Space", manuscript no. eFTC-161001 (2016).; doi:10.13140/RG.2.2.10398.95047.

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