6533b7d9fe1ef96bd126cc90
RESEARCH PRODUCT
The quantum clock: a critical discussion on space-time
Luciano BurderiR. IariaTiziana Di Salvosubject
High Energy Physics - TheoryNuclear and High Energy PhysicsInverseFOS: Physical sciencesInterval (mathematics)General Relativity and Quantum Cosmology (gr-qc)Type (model theory)Planck constant01 natural sciencesMeasure (mathematics)General Relativity and Quantum Cosmologysymbols.namesakeTheoretical physicsSettore FIS/05 - Astronomia E Astrofisica0103 physical sciencesIdeal (ring theory)010306 general physicsHigh Energy Astrophysical Phenomena (astro-ph.HE)PhysicsQuantum Physics010308 nuclear & particles physicsGravitational constantHigh Energy Physics - Theory (hep-th)symbolsAstrophysics - High Energy Astrophysical PhenomenaQuantum Physics (quant-ph)Quantum clockdescription
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 $\Delta t$ that this clock can measure scales as the inverse of its size $\Delta r$. This implies an uncertainty relation between space and time: $\Delta r$ $\Delta t$ $> G \hbar / c^4$; where G, $\hbar$ 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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-01-01 |