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Related Experiment Video

Updated: Jul 7, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Information theory, spectral geometry, and quantum gravity.

Achim Kempf1, Robert Martin

  • 1Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada.

Physical Review Letters
|February 1, 2008
PubMed
Summary
This summary is machine-generated.

Information theory and spectral geometry link to reveal a natural ultraviolet cutoff. This cutoff simplifies quantum field theory path integrals on curved spaces, with safe infrared cutoff removal.

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Last Updated: Jul 7, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
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The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
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Published on: August 12, 2013

Area of Science:

  • Theoretical Physics
  • Quantum Gravity
  • Information Theory
  • Spectral Geometry

Background:

  • A quantum gravity-motivated ultraviolet cutoff bounds spatial information density.
  • Path integrals in quantum field theory on curved spaces are complex.

Purpose of the Study:

  • To establish a link between information theory and spectral geometry.
  • To utilize this link to analyze a natural ultraviolet cutoff.
  • To simplify quantum field theory calculations on curved spacetime.

Main Methods:

  • Investigating the deep connection between information theory and spectral geometry.
  • Applying spectral geometry methods to analyze the ultraviolet cutoff.
  • Analyzing the behavior of quantum field theory path integrals with cutoffs.

Main Results:

  • A profound link between information theory and spectral geometry is demonstrated.
  • The natural ultraviolet cutoff, when combined with an infrared cutoff, simplifies path integrals.
  • Path integrals on curved spaces are reduced to a finite number of ordinary integrations.
  • The removal of the infrared cutoff is shown to be safe.

Conclusions:

  • The established link provides new insights into quantum gravity.
  • The ultraviolet cutoff offers a powerful tool for simplifying quantum field theory calculations.
  • The results suggest a pathway towards a more tractable theory of quantum gravity.