2. Shuangcai Zheng, A New Space‐Time Transformation

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Volume 14: Pages 106-122, 2001

A New SpaceTime Transformation

Shuangcai Zheng

c/o Z. Du, 3500 Sutherland Ave. J204, Knoxville, Tennessee 37919 U.S.A.

The transformation of relativistic spacetime between two coordinate systems, one of which is rotating with respect to another at a constant angular velocity, is established in this paper. From the transformation, we deduce a series of transformations between the two coordinate systems: the transformation of velocity, the transformation of acceleration, the transformation of momentum and energy, and the transformation of force. And from several formulas for these transformations, we deduce a new formula for the Doppler effect and the gravitational field of a spinning body. At the same time some fundamental concepts of relativity are discussed.

Keywords: transformation of spacetime, transformation of momentum and energy, gravitational field of a spinning body

Received: July 31, 1998; Published online: December 15, 2008