Extended representation of the lorentz transformations

An extended variant of the solution of the generalized Lorentz transformations (their particular solution is Einstein's special theory of relativity) is suggested in which the experimentally recorded physical quantity c⁻¹ (time) rather than the anisotropic velocity of light c is considered invariant for a quasi-closed light trajectory. The theory explains the Sagnac vortex effect and the negative result of experiments of the Michelson-Morley type. The theory can be tested experimentally against the transverse Doppler effect. Samara Branch of the P. N. Lebedev Physical Institute of the Russian Academy of Sciences. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 8–14, July, 1999.