Quantum clock: A critical discussion on spacetime

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


We critically discuss the measure of very short time intervals. By means of a Gedankenexperiment, we describe an ideal clock based on the occurrence of completely random events. Many previous thought experiments have suggested fundamental Planck-scale limits on measurements of distance and time. Here we present a new type of thought experiment, based on a different type of clock, that provide further support for the existence of such limits. We show that the minimum time interval Δ t that this clock can measure scales as the inverse of its size Δ r. This implies an uncertainty relation between space and time: Δ r Δ t > G ℏ / c4, where G, ℏ, and c are the gravitational constant, the reduced Planck constant, and the speed of light, respectively. We outline and briefly discuss the implications of this uncertainty conjecture.
Original languageEnglish
Number of pages5
Publication statusPublished - 2016

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

Fingerprint Dive into the research topics of 'Quantum clock: A critical discussion on spacetime'. Together they form a unique fingerprint.

Cite this