Time crystals from minimum time uncertainty

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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
URI
https://hdl.handle.net/10133/5625
Collections
Das, Saurya