Method of Length Measurement Symmetrical about the Laboratory and Moving Reference Systems in the Special Theory of Relativity

Abstract

With the use of symmetry it is demonstrated that for equal moduli of non-simultaneity of fixing the ends of the measurable length in both reference systems, the coordinate difference is equal to the length itself. The identity of scales of both reference systems is proved. A method of calculating the coordinate difference for non-simultaneities that differ from those in the symmetrical measurement scheme is described. The method is based on the use of “experimental” non-simultaneities and obviates the need for the application of the Lorentz transformation of coordinates. It is demonstrated quantitatively that there are no false discontinuities in a closed flow when an increase in the particle flow density is proved for a stationary observer and that the observable sizes of a rotating disk remain unchanged.