Significance of c/sqrt(2) in Relativistic Physics
C. Chicone, B. Mashhoon
Abstract
In the description of 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-V2/Vc2), where Vc=c/2 is the critical speed. If the speed of relative motion exceeds Vc, there is a sign reversal with consequences that are contrary to Newtonian expectations.
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