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- Title
A NOTE ON THE QUANTUM OF TIME.
- Authors
ISIDRO, JOSÉ M.; GONZÁLEZ-SANTANDER, J. L.; FERNÁNDEZ DE CÓRDOBA, P.
- Abstract
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. Here 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.
- Subjects
QUANTUM theory; TIME; HEISENBERG uncertainty principle; DIFFERENTIAL equations; REAL-time clocks (Computers)
- Publication
Modern Physics Letters A, 2008, Vol 23, Issue 16, p1161
- ISSN
0217-7323
- Publication type
Article
- DOI
10.1142/S0217732308027126