Journal
MODERN PHYSICS LETTERS A
Volume 25, Issue 20, Pages 1697-1703Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217732310033426
Keywords
Uncertainty principle; de Sitter spacetime; black holes
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It has been proposed that on (anti)-de Sitter background, the Heisenberg uncertainty principle should be modified by the introduction of a term proportional to the cosmological constant. We show that this modification of the uncertainty principle can be derived straightforwardly from the geometric properties of (anti)-de Sitter spacetime. We also discuss the connection between the so-called extended generalized uncertainty principle and triply special relativity
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