### Abstract

Original language | English |
---|---|

Number of pages | 5 |

Journal | PHYSICAL REVIEW. D |

Volume | 93 |

Publication status | Published - 2016 |

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### All Science Journal Classification (ASJC) codes

- Physics and Astronomy (miscellaneous)

### Cite this

*PHYSICAL REVIEW. D*,

*93*.

**Quantum clock: A critical discussion on spacetime.** / Di Salvo, Tiziana; Iaria, Rosario; Burderi, Luciano.

Research output: Contribution to journal › Article

*PHYSICAL REVIEW. D*, vol. 93.

}

TY - JOUR

T1 - Quantum clock: A critical discussion on spacetime

AU - Di Salvo, Tiziana

AU - Iaria, Rosario

AU - Burderi, Luciano

PY - 2016

Y1 - 2016

N2 - 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.

AB - 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.

KW - Nuclear and High Energy Physics

UR - http://hdl.handle.net/10447/209923

UR - http://harvest.aps.org/bagit/articles/10.1103/PhysRevD.93.064017/apsxml

M3 - Article

VL - 93

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

ER -