Information Theory, Spectral Geometry, and Quantum Gravity

Achim Kempf and Robert Martin
Phys. Rev. Lett. 100, 021304 – Published 18 January 2008

Abstract

We show that there exists a deep link between the two disciplines of information theory and spectral geometry. This allows us to obtain new results on a well-known quantum gravity motivated natural ultraviolet cutoff which describes an upper bound on the spatial density of information. Concretely, we show that, together with an infrared cutoff, this natural ultraviolet cutoff beautifully reduces the path integral of quantum field theory on curved space to a finite number of ordinary integrations. We then show, in particular, that the subsequent removal of the infrared cutoff is safe.

  • Received 1 August 2007

DOI:https://doi.org/10.1103/PhysRevLett.100.021304

©2008 American Physical Society

Authors & Affiliations

Achim Kempf and Robert Martin

  • Departments of Applied Mathematics and Physics, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada

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Issue

Vol. 100, Iss. 2 — 18 January 2008

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