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Finite Quantum Dynamics

David Ritz Finkelstein·Mohsen Shiri-Garakani
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Abstract

We general-quantize the dynamics of the quantum harmonic oscillator to obtain a covariant finite quantum dynamics in a finite quantum time. The usual central (``superselected'') time results from a self-organization. Unitarity necessarily fails, imperceptibly for middle times and grossly near the beginning and end of time. Time and energy interconvert during space-time decondensation or melt-down, at a rate governed by a constant like the Planck power.

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David Ritz Finkelstein, Mohsen Shiri-Garakani. 2006-02-15. Finite Quantum Dynamics. https://arxiv.org/abs/quant-ph/0602122

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