A Unified Solution to Relativistic Paradoxes via the Generalized Relativistic Transformation Framework

Recently, the Generalized Relativistic Transformation (GRT) was proposed [1,2,3,5], introducing a transformation capable of describing any orientation of information, velocity, and observer in relativistic events. Based on this approach, we propose two paradoxes to illustrate how the current interpretation of Relativity leads to unresolved contradictions: the Triplet’s Paradox and the Black Hole Paradox, both of which demonstrate the absence of a solution within the conventional framework. Also, we apply the GRT framework to provide a direct solution of the Twin Paradox, the Ladder Paradox, and to describe the electrical charge, force and work behavior on particle accelerators. In the latter case, we show that energy is conserved together with the concept of mixed relativistic reference frames [1,3]. We further discuss and demonstrate under which conditions spatial contraction or dilation occurs, results that can only be obtained through the GRT and not by Special Relativity as is currently understood. We also propose an alternative explanation for the observation that cosmic-ray showers reach the Earth's surface at a higher rate than conventionally expected.