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Significance of c/sqrt(2) in Relativistic Physics

C. Chicone·B. Mashhoon
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Abstract

In the description of \emph{relative} motion in accelerated systems and gravitational fields, inertial and tidal accelerations must be taken into account, respectively. These involve a critical speed that in the first approximation can be simply illustrated in the case of motion in one dimension. For one-dimensional motion, such first-order accelerations are multiplied by $(1-V^2/V_c^2)$, where $V_c=c/\sqrt{2}$ is the critical speed. If the speed of relative motion exceeds $V_c$, there is a sign reversal with consequences that are contrary to Newtonian expectations.

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BibTeXRIS

C. Chicone, B. Mashhoon. 2004-10-21. Significance of c/sqrt(2) in Relativistic Physics. https://doi.org/10.1088/0264-9381%2F21%2F24%2Fl01

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