Time crystals from minimum time uncertainty

被引:0
|
作者
Mir Faizal
Mohammed M. Khalil
Saurya Das
机构
[1] University of Waterloo,Department of Physics and Astronomy
[2] Alexandria University,Department of Electrical Engineering
[3] University of Lethbridge,Department of Physics and Astronomy
来源
关键词
Spontaneous Emission; Temporal Part; Loop Quantum Gravity; Generalize Uncertainty Principle; Planck Length;
D O I
暂无
中图分类号
学科分类号
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.
引用
收藏
相关论文
共 50 条
  • [31] Time and Uncertainty The Study of Time XI Abstracts
    Harris, Paul A.
    Crawford, Michael
    KRONOSCOPE-JOURNAL FOR THE STUDY OF TIME, 2007, 7 (01): : 103 - 110
  • [32] Inner time and social time in a world of uncertainty
    Melucci, A
    TIME & SOCIETY, 1998, 7 (02) : 179 - 191
  • [33] TIME UNCERTAINTY IN SIMPLE REACTION-TIME
    KLEMMER, ET
    JOURNAL OF EXPERIMENTAL PSYCHOLOGY, 1956, 51 (03): : 179 - 184
  • [34] Energy–time uncertainty relations and time operators
    Al. Ivanov
    Journal of Mathematical Chemistry, 2008, 43 : 1 - 11
  • [35] Money, Uncertainty and Time
    Pacella, Andrea
    Esposito, Guido Tortorella
    OECONOMIA-HISTOIRE EPISTEMOLOGIE PHILOSOPHIE, 2012, 2 (01): : 111 - 115
  • [36] Stability in a time of uncertainty
    Shelton, JS
    Beach, J
    JOURNAL OF CLINICAL PSYCHIATRY, 2004, 65 (07) : 896 - 897
  • [37] The Time of Uncertainty in Poland
    Dzida, Grzegorz J.
    JOURNAL OF DIABETES SCIENCE AND TECHNOLOGY, 2020, 14 (04): : 731 - 732
  • [38] Money, Uncertainty and Time
    Rossi, Sergio
    HISTORY OF ECONOMIC IDEAS, 2009, 17 (03) : 200 - 202
  • [39] UNCERTAINTY AND THE COMMUNICATION OF TIME
    LEYDESDORFF, L
    SYSTEMS RESEARCH, 1994, 11 (04): : 31 - 51
  • [40] Money, Uncertainty and Time
    Hein, Eckhard
    EUROPEAN JOURNAL OF ECONOMICS AND ECONOMIC POLICIES-INTERVENTION, 2010, 7 (01): : 208 - 209