Space-time uncertainty relation from quantum and gravitational principles

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Scientific paper

10.1016/j.physletb.2008.07.078

By collecting both quantum and gravitational principles, a space-time uncertainty relation $(\delta t)(\delta r)^{3}\geqslant\pi r^{2}l_{p}^{2}$ is derived. It can be used to facilitate the discussion of several profound questions, such as computational capacity and thermodynamic properties of the universe and the origin of holographic dark energy. The universality and validity of the proposed relation are illustrated via these examples.

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