Time crystals from minimum time uncertainty

The European Physical Journal C

Mohammed M. Khalil¹  Saurya Das²  Mir Faizal³ 

[1] Department of Electrical Engineering, Alexandria University, 12544, Alexandria, Egypt;Department of Physics and Astronomy, University of Lethbridge, 4401 University Drive, T1K 3M4, Lethbridge, AB, Canada;Department of Physics and Astronomy, University of Waterloo, N2L 3G1, Waterloo, ON, Canada;

关键词: Spontaneous Emission;    Temporal Part;    Loop Quantum Gravity;    Generalize Uncertainty Principle;    Planck Length;   

DOI  :  10.1140/epjc/s10052-016-3884-4

来源: Springer

【 摘 要 】

Motivated by the Generalized Uncertainty Principle, covariance, and a minimum measurable time, we propose a deformation of the Heisenberg algebra and show that this leads to corrections to all quantum mechanical systems. We also demonstrate that such a deformation implies a discrete spectrum for time. In other words, time behaves like a crystal. As an application of our formalism, we analyze the effect of such a deformation on the rate of spontaneous emission in a hydrogen atom.

【 授权许可】

CC BY