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A Note on the Quantum of Time by Isidro, J. M.; Gonzalez-Santander, J. L.; de Cordoba, P. Fernandez is a scholarly article available to read on EtoBox.

What is A Note on the Quantum of Time about?

Quantum mechanics rests on the assumption that time is a classical variable. As such, classical time is assumed to be measurable with infinite accuracy. However, all real clocks are subject to quantum fluctuations, which leads to the existence of a nonzero uncertainty in the time variable. The existence of a quantum of time modifies the Heisenberg evolution equation for observables. In this letter we propose and analyse a generalisation of Heisenberg's equation for observables evolving in real time (the time variable measured by real clocks), that takes the existence of a quantum of time into account. This generalisation of Heisenberg's equation turns out to be a delay-differential equation.

Author

Isidro, J. M.; Gonzalez-Santander, J. L.; de Cordoba, P. Fernandez

Published

2008

Language

EN