Time Crystals from Minimum Time Uncertainty
General Physics
2016-01-27 v2
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.
Cite
@article{arxiv.1501.03111,
title = {Time Crystals from Minimum Time Uncertainty},
author = {Mir Faizal and Mohammed M. Khalil and Saurya Das},
journal= {arXiv preprint arXiv:1501.03111},
year = {2016}
}
Comments
11 pages, to appear in Eur. Phys. J. C