# Post-Galilean transformations of space and time derivatives and their consequences - Physics > General Physics

Abstract: Using post-Galilean space and time derivatives transformations and quantummechanics, we have found a new particle-wave equation besides the Klein-Gordonequation describing a spinless scalar particle. This new equation can also beobtained from Dirac-s equation if $\beta=\gamma1\pm\frac{v}{c}$. Biot-Savartlaw and additional continuity equations are obtained as a consequence of theinvariance of Dirac-s equation and Maxwell-s equations under thesetransformations.

Author: Arbab I. Arbab, Faisal A. Yassein

Source: https://arxiv.org/