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Spin-Rotation Coupling in the Teleparallelism Description in High Speed Rotation System

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Abstract

The spin-rotation coupling can be described by the torsion axial-vector and teleparallelism of general relativity. In a large scale distance, with a high rotating velocity, the tangent velocity will exceed the velocity of light. To overcome that difficulty, we choose a nonuniform and position-dependent angular velocity, e.g. \(\Omega(\rho)=\frac{\Omega}{\sqrt[K]{1+(\Omega\rho/C)^{K}}}\). Based on this choice, we find that the tangent velocity will be less than the speed of light at infinity and never be meaningless. Moreover, the new rotation-spin coupling is derived. And in the case of K=2, it will be consistent with the previous result with the constant angular velocity.

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Pan, Y.Y., Ren, J. Spin-Rotation Coupling in the Teleparallelism Description in High Speed Rotation System. Int J Theor Phys 50, 724–728 (2011). https://doi.org/10.1007/s10773-010-0602-0

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