Natural extension of the generalized uncertainty principle

doi:10.1088/0264-9381/25/9/095006

Natural extension of the generalized uncertainty principle

C Bambi et al 2008 Class. Quantum Grav. 25 095006 (8pp) doi: 10.1088/0264-9381/25/9/095006

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C Bambi¹ and F R Urban^2,3,4
¹ Department of Physics and Astronomy, Wayne State University, Detroit, MI 48201, USA
² Istituto Nazionale di Fisica Nucleare, Sezione di Ferrara, I-44100 Ferrara, Italy
³ Dipartimento di Fisica, Università degli Studi di Ferrara, I-44100 Ferrara, Italy
⁴ Department of Physics and Astronomy, University of Sussex, Brighton BN1 9QJ, UK

Abstract. We discuss a gedanken experiment for the simultaneous measurement of the position and momentum of a particle in de Sitter spacetime. We propose an extension of the so-called generalized uncertainty principle (GUP) which implies the existence of a minimum observable momentum. The new GUP is directly connected to the nonzero cosmological constant, which becomes a necessary ingredient for a more complete picture of the quantum spacetime.

PACS numbers: 03.65.Ta, 04.60.Bc

Print publication: Issue 9 (7 May 2008)
Received 22 January 2008, in final form 4 March 2008
Published 15 April 2008

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Natural extension of the generalized uncertainty principle

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