Current-Field Equations Including Charge Creation-Annihilation Fields and Derivation of Klein-Gordon and Schrödinger Equations and Gauge Transformation

We found new current-field equations including charge creation-annihilation fields. Although it is difficult to treat creation and annihilation of charge pairs for Maxwell’s equations, the new equations easily treat them. The equations cause the confinement of charge creation and annihilation centers, which means the charge conservation for this model. The equations can treat not only electromagnetic field but also weak and strong force fields. Weak gravitational field can be also treated by the equations, where four current means energy and momentum. It is shown that Klein-Gordon and Schrödinger equations and gauge transformation can be directly derived from the equations, where the wave function is defined as complex exponential function of the energy creation-annihilation field.