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Prog. Theor. Phys. Supplement No.136 (1999) pp. 1-17

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Trans-Planckian Redshifts and the Substance of the Space-Time River

Ted Jacobson*

Department of Physics, Univerity of Maryland, College Park, MD 20742-4111 USA

(Received December 17, 1999)

Abstract:

Trans-Planckian redshifts in cosmology and outside black holes may provide windows on a hypothetical short distance cutoff on the fundamental degrees of freedom. In cosmology, such a cutoff seems to require a growing Hilbert space, but for black holes, Unruh's sonic analogy has given rise to both field theoretic and lattice models demonstrating how such a cutoff in a fixed Hilbert space might be compatible with a low energy effective quantum field theory of the Hawking effect. In the lattice case, the outgoing modes arise via a Bloch oscillation from ingoing modes. A short distance cutoff on degrees of freedom is incompatible with local Lorentz invariance, but may nevertheless be compatible with general covariance if the preferred frame is defined non-locally by the cosmological background. Pursuing these ideas in a different direction, condensed matter analogs may eventually allow for laboratory observations of the Hawking effect. This paper introduces and gives a fairly complete but brief review of the work that has been done in these areas, and tries to point the way to some future directions.


URL : http://ptp.ipap.jp/link?PTPS/136/1/
DOI : 10.1143/PTPS.136.1


*E-mail address: jacobson@physics.umd.edu

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