Authors: Jozef Radomanski
As a result of the superposition of non-collinear relativistic velocities, apart from the resultant velocity, a component of turn is obtained which is called the Thomas-Wigner rotation. The paper discusses the Lorentz transformation using the paravector calculus. It has been shown that any Lorentz rotation is a combination of real velocity and a Euclidean rotation, and that as a result of the superposition of appropriately selected velocities any object can rotate in place, which may indicate the fallacy of the idea of the Lorentz rotation.
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