Title: The discrete topology of time operator in closed quantum dynamical systems: the case of a finite wave collapse

Authors: Yohannes Yebabe Tesfay

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Abstract: Sympathetic, the topological structure of time is one of the fundamental and the most sophisticated research themes of modern physics. All the calculations of Newtonian mechanics are derived based on the assumption of absolute and independent time. Though, Einstein, in the SR, had thrown away the absolute and independent time conception of the Newtonian mechanics. Later, Einstein, in his GT, showed that gravitation is the curvature of four-dimensional spacetime. In this paper, the author proposed to test whether the metric time is continuous or discrete in a closed quantum dynamical systems considering a finite wave collapse. By applying the energy-time uncertainty quantum formalisation, the author gives a complete proof that the metric time is discrete. The proof of the theorem, therefore, gives strong evidence of the scheme of quantum gravity.

Keywords: abstract algebra; relativity; metric time; QM; quantum formalisation.

DOI: 10.1504/IJCSM.2021.114183

International Journal of Computing Science and Mathematics, 2021 Vol.13 No.1, pp.1 - 9

Received: 26 Sep 2019
Accepted: 07 Jan 2020
Published online: 13 Apr 2021 *

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