Extended uncertainty principle and the geometry of (anti)-de Sitter space

Abstract

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.

8 pages, plain TeX, references added

References in corpus (7)

• The Generalized Uncertainty Principle in (A)dS Space and the Modification of Hawking Temperature from the Minimal Length
• (Anti-)de Sitter Black Hole Thermodynamics and the Generalized Uncertainty Principle
• Natural extension of the Generalised Uncertainty Principle
• Triply Special Relativity
• de Sitter special relativity
• On Special Relativity with Cosmological Constant
• Doubly special relativity and translation invariance

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