A NEW VIEW ON RELATIVITY PART 1. KINEMATIC RELATIONS BETWEEN INERTIAL AND RELATIVISTICALLY ACCELERATED SYSTEMS BASED ON SYMMETRY

Several new ideas related to Special and General Relativity are proposed. The black-box method is used for the synchronization of the clocks and the space axes between two inertial systems or two accelerated systems and for the derivation of the transformations between them. There are two consistent ways of defining the inputs and outputs to describe the transformations and relative motion between the systems. The standard approach uses a mixture of the two ways. By formulating the principle of special and general relativity as a symmetry principle we are able to specify these transformations to depend only on a constant. The transformations become Galilean if the constant is zero. Validity of the Clock Hypothesis for uniformly acceler