Fundamental bound for time measurements and minimum uncertainty clocks

TL;DR

This paper derives a fundamental limit on the precision of time measurements based on quantum uncertainty and gravitational effects, indicating an unavoidable minimum uncertainty in all time measurements.

Contribution

It introduces a simple, principle-based argument establishing a fundamental lower bound on time measurement accuracy considering quantum and gravitational effects.

Findings

Establishes a fundamental minimum uncertainty in time measurements.

Links quantum uncertainty with gravitational effects to derive bounds.

Implications suggest no perfect time measurement is possible.

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.