2002/02/14 by Carmen Chicone, C. Chicone, Bahram Mashhoon +1
Earth and Planetary Sciences · Engineering · Mathematics · Physics and Astronomy · #Acceleration #Artificial intelligence #Bounded function #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Convolution (computer science) #Coupling (piping) #Geometry #Geophysics and Sensor Technology #High-pressure geophysics and materials #Kernel (algebra) #Mathematical analysis #Mathematics #Physics #Pure mathematics #Quantum mechanics #Quantum nonlocality #Rotation (mathematics) #Uniqueness #gr-qc
paper · pdf · doi:10.1016/s0375-9601(02)00439-5
published as Phys.Lett. A298 (2002) 229-235 · LaTeX file, 2 figures, 14 pages
arxiv created 2002/02/14 · openalex publication_date 2002/06/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider the problem of uniqueness of the kernel in the nonlocal theory of accelerated observers. In a recent work, 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.