Superluminal relativity and physical reality

This work is a revised version (Version 2) of a previous paper by the author, presented in a manner intended to emphasize more clearly the connection between its epistemological postulates and the subsequent development of its formalism. Several modifications have been introduced, and new sections have been added. As in the first version, the study concerns the physical interpretation of the imaginary quantities that arise in the formulation of superluminal relativity (including complex coordinates, velocities, angles, charges, and masses). In this framework, the kinematics of tachyons is analyzed, and the nature of the imaginary velocities appearing therein is examined. Furthermore, it is shown that a physical interpretation of the complex quantities (masses and charges) occurring both in quantum mechanics and in superluminal relativity is indeed possible. In this context, the complex nature of the electric charge is investigated, with particular attention to its divisibility. It is demonstrated that singular fractions of the electric charge exist whose squared values coincide with the observed quark charges. Within the same conceptual framework, the physical nature of a complex mass is also explored. It is shown that the imaginary component of such a mass implies that its gravitational field intensity behaves as a wave, propagating with the velocity of the wave associated with the particle itself. It is further demonstrated that the corresponding wavelength coincides with that given by the De Broglie relation, and that the resulting wave equation—second order in both spatial and temporal coordinates—is compatible with the Klein–Gordon wave equation. This constitutes a significant indication of the physical character of the associated wave and suggests an alternative interpretation to the orthodox probabilistic view of quantum mechanics.