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Trans-Planckian redshifts and the substance of the space-time river | | Ted Jacobson
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14 Dec 1999 | | Journal: | Prog.Theor.Phys.Suppl. 136 (1999) 1-17 | | Subject: | hep-th cond-mat gr-qc | | 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. | | Source: | arXiv, hep-th/0001085 | | Services: | Forum | Review | PDF | Favorites | |
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