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Phys. Rev. D 69, 064006 (2004) [7 pages]

Notes on spacetime thermodynamics and the observer dependence of entropy

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Donald Marolf*
Physics Department, UCSB, Santa Barbara, California 93106, USA

Djordje Minic
Institute for Particle Physics and Astrophysics, Department of Physics, Virginia Tech, Blacksburg, Virginia 24061, USA

Simon F. Ross
Centre for Particle Theory, Department of Mathematical Sciences, University of Durham, South Road, Durham DH1 3LE, United Kingdom

Received 11 November 2003; published 10 March 2004

Because of the Unruh effect, accelerated and inertial observers differ in their description of a given quantum state. The implications of this effect are explored for the entropy assigned by such observers to localized objects that may cross the associated Rindler horizon. It is shown that the assigned entropies differ radically in the limit where the number of internal states n becomes large. In particular, the entropy assigned by the accelerated observer is a bounded function of n. General arguments are given along with explicit calculations for free fields. The implications for discussions of the generalized second law and proposed entropy bounds are also discussed.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.69.064006
DOI:
10.1103/PhysRevD.69.064006
PACS:
04.70.Dy, 04.62.+v

*Email address: marolf@physics.syr.edu

Email address: dminic@vt.edu

Email address: S.F.Ross@durham.ac.uk