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Finite Quantum Dynamics

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Abstract

We decontract the quantum harmonic oscillator dynamics to obtain a covariant finite quantum dynamics in quantum time. The usual central (“superselection”) time results from a condensation of events. Dynamics results from an entanglement of the oscillator quantum variables with the quantum time variable. Unitarity necessarily fails, slightly for middle times but grossly near the beginning and end of time. Time and energy interconvert during space-time meltdown, at a rate governed by a regulant like the Planck power.

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Authors and Affiliations

  1. School of Physics, Georgia Institute of Technology, Atlanta, GA, USA

    David Ritz Finkelstein

  2. Department of Chemistry and Physical Sciences, Pace University, Pleasantville, NY, USA

    Mohsen Shiri-Garakani

Authors
  1. David Ritz Finkelstein
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  2. Mohsen Shiri-Garakani
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Correspondence to Mohsen Shiri-Garakani.

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Finkelstein, D.R., Shiri-Garakani, M. Finite Quantum Dynamics. Int J Theor Phys 50, 1731–1751 (2011). https://doi.org/10.1007/s10773-011-0682-5

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  • DOI: https://doi.org/10.1007/s10773-011-0682-5

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