Time crystals from minimum time uncertainty
Date
2016
Authors
Faizal, Mir
Khalil, Mohammed M.
Das, Saurya
Journal Title
Journal ISSN
Volume Title
Publisher
SpringerOpen
Abstract
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.
Description
Sherpa Romeo green journal. Open access article. Creative Commons Attribution 4.0 International License (CC BY 4.0) applies
Keywords
Spontaneous emission , Temporal part , Loop quantum gravity , Generalize Uncertainty Principle , Planck length
Citation
Faizal, M., Khalil, M. M., & Das, S. (2016). Time crystals from minimum time uncertainty. The European Physical Journal C, 76, 30. DOI 10.1140/epjc/s10052-016-3884-4