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arXiv:1604.01945

An ideal quantum clock and Principle of maximum force

Yu. L. Bolotin, V. A. Cherkaskiy, Anatoli Tur, Vladimir Yanovsky

Published Apr 7, 2016• 6 citations
arXivHTMLPDF

Abstract

We show that the space-time uncertainty relation for the quantum clock can be derived from the maximum force principle.
DOI
10.48550/arxiv.1604.01945

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In the framework of any quantum theory in the Schroedinger picture a general operator time concept is given. For this purpose certain systems are emphasized as ideal quantum clocks. Their definition follows heuristically from a common property of ideal clocks and from general postulates of traditional quantum theory. Any such ideal quantum clock allows the definition of a symmetric time operator T. T and the Hamiltonian H necessarily satisfy the time-energy uncertainty relation. The argument of Pauli against the existence of any time operator does not strike, because T is symmetric but not selfadjoint.
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