Direct relativistic extension of the Madelung-de-Broglie-Bohm theories

Non-relativistic Madelung-de-Broglie-Bohm theories result from reformulations of Quantum Mechanics based on the Schrodinger equation. Starting from an intriguing Schrödinger-like equation, which describes a particle with mass and spin-0 and with the correct relativistic relation between its linear momentum and kinetic energy [1-5], the basic equations of the non-relativistic quantum mechanics with trajectories and quantum hydrodynamics are extended to the relativistic domain. Some simple but instructive free particle examples are discussed. This approach differs from other approaches in the simplicity of the deduction of the basic relativistic equations of the extended theories, and in the easier intuitive interpretation of both the basic relativistic equations and the relativistic results obtained using the extended theories.
1. L. Grave de Peralta, European Journal of Physics, 41, 065404 (2020).
2. L. Grave de Peralta, Scientific Reports 10, 14925 (2020).
3. L. Grave de Peralta, Results in Physics 18, 103318 (2020).
4. L. Grave de Peralta, Journal of Modern Physics 11, 788 (2020).
5. L. Grave de Peralta, Journal of Modern Physics 11, 196 (2020).