Talk detail

Participant	Burderi, Luciano
Institution	Department of Physics - University of Cagliari - SP Monserrato-Sestu, Km 0.7 - Monserrato - Cagliari - Italy

Session	QG2	Accepted	Yes	Order	6	Time	25'
Talk	Oral abstract	Title	A quantum clock: a critical discussion on space-time
Co-authors	Tiziana Di Salvo (University of Palermo)
Abstract	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. 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: $$ \Delta r \Delta t \geq G \hbar / c^{4}, $$ 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 principle.