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Natural extension of the generalized uncertainty principle

C Bambi1 and F R Urban2,3,4

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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

04.60.-m Quantum gravity

95.30.Sf Relativity and gravitation

98.80.Es Observational cosmology (including Hubble constant, distance scale, cosmological constant, early Universe, etc)

98.80.Cq Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.)

MSC

83C75 Space-time singularities, cosmic censorship, etc.

83F05 Cosmology

85A40 Cosmology (For relativistic cosmology, see 83F05)

83C45 Quantization of the gravitational field

Subjects

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 9 (7 May 2008)

Received 22 January 2008, in final form 4 March 2008

Published 15 April 2008



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