Lagrangian formulation of the de Broglie–Proca for space with noninteger dimension

Abstract

Fractals are the fundamental characteristics of the universe. In this research, the Lagrangian formulation of the de Broglie–Proca (dBP) field for space with noninteger dimension is examined. Based on the Laplace of the dBP’s equations in noninteger space, the solutions of these equations are found where the dimensionality of the space is [Formula: see text]. Also, we obtain the wave equation for the electric field and the wave equation for the magnetic field in noninteger space.