Space-time uncertainty relation from quantum and gravitational principles

Understand

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.