deformed density matrix and quantum entropy of the black hole畸形的密度矩阵和量子黑洞的熵.pdfVIP

Entropy 2006, 8[1], 31-43 Entropy ISSN 1099-4300 /entropy/ Full paper Deformed Density Matrix and Quantum Entropy of the Black Hole A.E.Shalyt-Margolin NCPHEP (National Centre for Particle and High Energy Physics) Bogdanovich Str. 153, Minsk 220040, Belarus Fax: +375 172 926075, E-mail: a.shalyt@mail.ru; alexm@hep.by Received: 10 January 2006 / Accepted: 15 March 2006 / Published: 15 March 2006 Abstract: In the present work the approach - density matrix deformation - earlier developed by the author to study a quantum theory of the Early Universe (Planck’s scales) is applied to study a quantum theory of black holes. On this basis the author investigates the information paradox problem, entropy of the black hole remainders after evaporation, and consistency with the holo- graphic principle. The possibility for application of the proposed approach to the calculation of quantum entropy of a black hole is considered. Keywords: deformed density matrices, entropy density, information problem MSC 2000 codes: PACS codes: 03.65; 05.70 Entropy 2006, 8[1], 31-43 32 1 Introduction. Deformed Density Matrix in QMFL Quantum entropy of a black hole is commonly considered as a formula for the communal entropy representing a series, where the major term is coincident with Bekenstein-Hawking entropy in a semiclassical approximation, whereas other terms are its quantum corrections. This paper presents the development of a new approach to a quantum theory close to the singularity (Early Universe), whose side product is the application to a quantum theory of black holes the calculations of entropy including. The principal method of this