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Phys. Rev. Lett. 71, 666–669 (1993)

Entropy and area

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Mark Srednicki
Center for Particle Astrophysics, University of California, Berkeley, California 94720
Theoretical Physics Group, Lawrence Berkeley Laboratory, 1 Cyclotron Road, Berkeley, California 94720

Received 15 March 1993; published in the issue dated 2 August 1993

The ground-state density matrix for a massless free field is traced over the degrees of freedom residing inside an imaginary sphere; the resulting entropy is shown to be proportional to the area (and not the volume) of the sphere. Possible connections with the physics of black holes are discussed.

© 1993 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.71.666
DOI:
10.1103/PhysRevLett.71.666
PACS:
05.30.-d, 11.10.-z, 97.60.Lf