lobal Journal of Science Frontier Research, A: Physics and Space Science, Volume 24 Issue 4

90 degrees. The same principle does exist for the standing (confined) electromagnetic waves, For that reason every confined (standing) Electromagnetic wave can be described by a complex sum vector φ of the Electric Field Vector E and the Magnetic Field Vector B ( E has 90 degrees phase shift compared to B ). The vector functions φ and the complex conjugated vector function * φ will be written as: (30) B equals the magnetic induction, E the electric field intensity ( E has + 90 degrees phase shift compared to B ) and c the speed of light. The complex conjugated vector function * φ equals: 1 E * = B - i 2 c φ µ       (31) The dot product equals the electromagnetic energy density w: 2 2 1 E E 1 1 . * = B + i . B - i = H + E = w 2 2 2 c c φ φ µ ε µ             (32) Using Einstein’s equation W = m c 2 , the dot product equals the electromagnetic mass density w: 2 2 2 2 3 2 1 E E 1 1 . * = B + i . B - i = H + E = [kg/m ] c 2 2 2 c c ε φ φ ε µ ε ρ             (33) The cross product is proportional to the Poynting vector (Ref. 3, page 202, equation 15). 1 E E * = B + i B - i = i E H = i S 2 c c φ φ ε µ ε µ µ     × × ×         (34) Within this article, a novel "Gravitational- Electromagnetic Equation" is put forth, offering a detailed description of Electromagnetic Field Configurations. These configurations not only serve as mathematical solutions for the Scalar Quantum Mechanical "Schrödinger Wave Equation" but also, more precisely, correspond to the mathematical solutions encapsulated in the Tensor representation of the "Relativistic Quantum Mechanical Dirac Equation" (Equation 41). By establishing this linkage between the Gravitational-Electromagnetic Equation and the fundamental equations of Quantum Mechanics, specifically the Schrödinger Wave Equation and the Dirac Equation, the article outlines a comprehensive framework that integrates gravitational and electromagnetic interactions within the context of relativistic quantum mechanics. This synthesis of concepts aims to provide a deeper understanding of the dynamics governing electromagnetic fields and their connections to quantum mechanical phenomena at a relativistic scale. The 4-dimensional divergence of the sum of the Electromagnetic Stress-Energy tensor expresses the 4-dimensional Force-Density vector (expressed in [N/m 3 ] in the 3 spatial coordinates) as the result of Electro-Magnetic-Gravitational interaction. (35) In vector notation the 4-dimensional Force- Density vector can be written as: (36) The pivotal boundary condition in this alternative gravitational approach necessitates that the Force 4- vector equals zero across the 4 dimensions, reflecting a universal equilibrium within the multidimensional framework. The spatial components of the Force-Density vector, arising from the intricate interplay of Electro- Magnetic-Gravitational interactions, can be explicitly articulated. By integrating the specific electromagnetic values for the electric field intensity "E" and the magnetic field intensity "H" into the formulation described in equation (36), the resulting expression encapsulates the 4-dimensional manifestation of the Electro-Magnetic- Gravitational Fields Equation (37). This amalgamation of electromagnetic and gravitational fields within the 4- dimensional realm underscores the comprehensive nature of the proposed framework and its implications for understanding the interactions between these fundamental forces. 1 E = B + i 2 c φ µ       T = 0 = f µ µν ν ∂ Global Journal of Science Frontier Research ( A ) XXIV Issue IV Version I Year 2024 62 © 2024 Global Journals A Reinterpretation of Quantum Physics 4 4 3 2 1 T = = = 0 f f f f f              