Scalar Pre-potentials for Spinor and Tensor Fields on Spacetime

Abstract We review a technique for solving class of classical linear partial diferential systems relevance to physics in Minkowski spacetime. All the equations are amenable analysis terms complex solutions kernel scalar Laplacian and complexifed Hertz potential. The complexifcation prescription ensures existence regular physical with chirality propagating, non-singular, pulse-like characteristics that bounded all three spatial dimensions. is applied source-free Maxwell, Bopp-Landé-Podolsky linearised Einstein feld systems, particular used constructing models describing single-cycle laser pulses mechanism discussed initiating astrophysical jets. Our article concludes brief introduction spacetime Cliford algebra ideals we use represent spinor felds. employ these demonstrate how same tensor felds enables one construct new chiral, massless Dirac equation