1996arXiv (Cornell University)Open access

"Centrifugal force: A gedanken experiment" - new surprises

G. Z. Machabeli, A. D. Rogava

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Abstract

A recently proposed "gedanken experiment" [G.Z. Machabeli and A.D. Rogava. Phys. Rev. A {\bf 50}, 98 (1994)], exhibiting surprising behavior, is reexamined. A description of this behavior in terms of the laboratory inertial frame is presented, avoiding uncertainties arising due to a definition of a centrifugal force in relativity. The surprising analogy with the radial geodesic motion in Schwarzschild geometry is discovered. The definition of the centrifugal force, suggested by J.C. Miller and M.A. Abramowicz, is discussed.

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A recently proposed "gedanken experiment" [G.Z. Machabeli and A.D. Rogava. Phys. Rev. A {\bf 50}, 98 (1994)], exhibiting surprising behavior, is reexamined. A description of this behavior in terms of the laboratory inertial frame is presented, avoiding uncertainties arising due to a definition of a centrifugal force in relativity. The surprising analogy with the radial geodesic motion in Schwarzschild geometry is discovered. The definition of the centrifugal force, suggested by J.C. Miller and M.A. Abramowicz, is discussed.

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Available abstract

A recently proposed "gedanken experiment" [G.Z. Machabeli and A.D. Rogava. Phys. Rev. A {\bf 50}, 98 (1994)], exhibiting surprising behavior, is reexamined. A description of this behavior in terms of the laboratory inertial frame is presented, avoiding uncertainties arising due to a definition of a centrifugal force in relativity. The surprising analogy with the radial geodesic motion in Schwarzschild geometry is discovered. The definition of the centrifugal force, suggested by J.C. Miller and M.A. Abramowicz, is discussed.

Key concepts: Centrifugal force, Fictitious force, Inertial frame of reference, Classical mechanics, Geodesic, Motion (physics), Schwarzschild radius, Analogy

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