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

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

2009-09-07

arxiv.org/abs/0909.1202v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, plain TeX, references added

Scientific paper

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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