Defining entropy bounds
Author(s) -
Don N. Page
Publication year - 2008
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2008/10/007
Subject(s) - physics , semiclassical physics , theoretical physics , mathematical physics , spacetime , entropy (arrow of time) , gravitation , quantum field theory , quantum gravity , quantum , counterexample , quantum mechanics , mathematics , discrete mathematics
Bekenstein's conjectured entropy bound for a system of linear size R andenergy E, S < 2 pi E R, has counterexamples for many of the ways in which the"system," R, E, and S may be defined. Here new ways are proposed to definethese quantities for arbitrary nongravitational quantum field theories in flatspacetime, such as defining R as the smallest radius outside of which onlyvacuum expectation values occur. Difficulties of extending these definitions togravitational quantum theories are noted.Comment: 30 pages, LaTeX, rewritten Introduction and references adde
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