Observer-Dependence of Chaos Under Lorentz and Rindler Transformations |
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| Authors: | Zhao Zheng Baidyanath Misra Harald Atmanspacher |
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| Affiliation: | (1) Department of Physics, Beijing Normal University, Beijing, China;(2) International Solvay Institutes for Physics and Chemistry, Boulevard du Triomphe, Brussels, Belgium;(3) Institut für Grenzgebiete der Psychologie und Psychohygiene, Wilhelmstr. 3a, Freiburg, Germany;(4) Max-Planck-Institut für extraterrestrische Physik, Center for Interdisciplinary Plasma Science, Garching, Germany |
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| Abstract: | The behavior of Lyapunov exponents  and dynamical entropies h, whose positivity characterizes chaotic motion, under Lorentz and Rindler transformations is studied. Under Lorentz transformations, and h are changed, but their positivity is preserved for chaotic systems. Under Rindler transformations, and h are changed in such a way that systems, which are chaotic for an accelerated Rindler observer, can be nonchaotic for an inertial Minkowski observer. Therefore, the concept of chaos is observer-dependent. |
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| Keywords: | chaos Kolmogorov— Sinai entropy Lyapunov exponent Lorentz transformation Rindler transformation |
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