2012/07/01 by L. Burderi, Luciano Burderi, T. Di Salvo +3 · 1 citation
Physics and Astronomy · #Atomic and Subatomic Physics Research #Computer science #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum Mechanics and Applications #Quantum mechanics #Spacetime #Theoretical physics #astro-ph.HE #gr-qc #hep-th #quant-ph
paper · pdf · doi:10.1103/physrevd.93.064017
published as Phys. Rev. D 93, 064017 (2016) · 12 pages, oral presentation at the 13th Marcel Grossmann Meeting, Stockholm 1-7 July 2012
arxiv created 2012/07/01 · openalex publication_date 2016/03/08 · arxiv updated 2016/03/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 \mathrm\ensuremathΔt that this clock can measure scales as the inverse of its size \mathrm\ensuremathΔr. This implies an uncertainty relation between space and time: \mathrm\ensuremathΔr\mathrm\ensuremathΔt>G\ensuremathℏ/c4, where G, \ensuremathℏ, 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.