3D Generalized Relativistic Transformation Approach: Theoretical and Experimental Evidence

The Generalized Relativistic Transformation (GRT) is, in fact a framework shift for understand the description of relativistic events. It reproduces known relativistic solutions and introduces new ones. In previous works [1-4], this approach was applied to the three-dimensional description of relativistic events specifically regarding how the observer describes the quantities of the relativistic reference frame, and how the observer's proper quantities are projected onto that frame [1,2]. This framework enables a clearer understanding of the true nature of the optical Doppler Effect [2,4] and the derivation of a relativistic system of units and quantities [4]. Furthermore, adapting relativistic algebra to the GRT framework [3] allowed for the description of mixed relativistic reference frames. Together, these developments led to the resolutions of relativistic paradoxes within the GRT approach [5]. In this work, we present theoretical and experimental evidence supporting the veracity of the proposed relativistic transformations. We show that relativistic charge dependence can be derived directly from the Millikan experiment within a relativistic context. Similarly, relativistic charge behavior emerges from the Thomson charge-to-mass ratio and the Planck’s charge equation. Moreover, Maxwell’s equations remain fully relativistically invariant under the GRT scenario. To demonstrate that Planck constant also requires correction in a relativistic scenario, we apply the GRT approach directly to standard experiments used to determine the proper Planck's constant measurement result. Finally, we revisit the Doppler effect under the GRT framework to reinforce that this phenomenon should be interpreted solely as a result of relativistic time correction.