Vol. 16 (2013) > lrr-2013-2

doi: 10.12942/lrr-2013-2
Living Rev. Relativity 16 (2013), 2

Minimal Length Scale Scenarios for Quantum Gravity

1 Nordita, Roslagstullsbacken 23, 106 91 Stockholm, Sweden

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Article Abstract

We review the question of whether the fundamental laws of nature limit our ability to probe arbitrarily short distances. First, we examine what insights can be gained from thought experiments for probes of shortest distances, and summarize what can be learned from different approaches to a theory of quantum gravity. Then we discuss some models that have been developed to implement a minimal length scale in quantum mechanics and quantum field theory. These models have entered the literature as the generalized uncertainty principle or the modified dispersion relation, and have allowed the study of the effects of a minimal length scale in quantum mechanics, quantum electrodynamics, thermodynamics, black-hole physics and cosmology. Finally, we touch upon the question of ways to circumvent the manifestation of a minimal length scale in short-distance physics.

Keywords: Generalized uncertainty principle, Minimal length, Quantum gravity

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Since a Living Reviews in Relativity article may evolve over time, please cite the access <date>, which uniquely identifies the version of the article you are referring to:

Sabine Hossenfelder,
"Minimal Length Scale Scenarios for Quantum Gravity",
Living Rev. Relativity 16,  (2013),  2. URL (cited on <date>):
http://www.livingreviews.org/lrr-2013-2

Article History

ORIGINAL http://www.livingreviews.org/lrr-2013-2
Title Minimal Length Scale Scenarios for Quantum Gravity
Author Sabine Hossenfelder
Date accepted 11 October 2012, published 29 January 2013
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