Space-time uncertainty relation from quantum and gravitational principles

Abstract

By collecting both quantum and gravitational principles, a space-time uncertainty relation $(\delta t)(\delta r{)}^3⩾\pi r^2{l}_p^2$ 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.

the published version

References in corpus (4)

• A Dark Energy Model Characterized by the Age of the Universe
• A New Model of Agegraphic Dark Energy
• Space-time in light of Karolyhazy uncertainty relation
• Holographic Foam, Dark Energy and Infinite Statistics