Significance of c/sqrt(2) in Relativistic Physics

Details Significance of c/sqrt(2) in Relativistic Physics Significance of c/sqrt(2) in Relativistic Physics

2004-06-29

arxiv.org/abs/gr-qc/0406118v2

Class.Quant.Grav. 21 (2004) L139

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, 1 figure, slightly expanded version accepted for publication in Class. Quantum Grav

Scientific paper

10.1088/0264-9381/21/24/L01

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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