Acceleration-induced nonlocality: uniqueness of the kernel |
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| Institution: | 1. Department of Mathematics, University of Missouri-Columbia, Columbia, MO 65211, USA;2. Department of Physics and Astronomy, University of Missouri-Columbia, Columbia, MO 65211, USA;1. Faculty of Civil and Environmental Engineering, Gdańsk University of Technology, ul. Gabriela Narutowicza 11/12, 80-233 Gdańsk, Poland;2. South Scientific Center of RASci & Southern Federal University, Rostov on Don, Russia;3. Universidad Nacional de Colombia, Cr. 45, # 26-85, Bogotá D.C., Colombia;4. Lawrence Technological University, 21000 West Ten Mile Road, Southfield, MI 48075-1058 USA;1. Laboratorio de Información Cuántica, CIDETEC, Instituto Politécnico Nacional, UPALM, CDMX 07700, Mexico;2. Catedrática CONACyT, Centro de Investigación en Computación, Instituto Politécnico Nacional, UPALM, CDMX 07738, Mexico;3. Department of Chemistry, P.O. Box 15551, UAE University, Al Ain, UAE |
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| Abstract: | We consider the problem of uniqueness of the kernel in the nonlocal theory of accelerated observers. In a recent work Ann. Phys. (Leipzig) 11 (2002) 309], we showed that the convolution kernel is ruled out as it can lead to divergences for nonuniform accelerated motion. Here we determine the general form of bounded continuous kernels and use observational data regarding spin-rotation coupling to argue that the kinetic kernel given by K(τ,τ′)=k(τ′) is the only physically acceptable solution. |
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