Fundamental bound for time measurements and minimum uncertainty clocks

Abstract

We present a simple argument leading to a fundamental minimum uncertainty in the determination of times. It only relies in the uncertainty principle and time dilation in a gravitational field. It implies any attempt to measure times will have a fundamental level of uncertainty. Implications are briefly outlined.

6 pages, RevTex, one figure

References in corpus (1)

• Fundamental decoherence from quantum gravity: a pedagogical review

Cited by in corpus (2)

• The Montevideo Interpretation: How the inclusion of a Quantum Gravitational Notion of Time Solves the Measurement Problem
• The time-energy uncertainty relation for quantum events