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

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) ( ) ( ) ( ) ( ) Energy-Time Domain E . E H . H 1 0 0 f . ( E ) + = 0 4 2 3-Dimen t    +      sional Space Domain f 3 (E ) 1 f - E ( E ) E ( E ) 2 0 0 2 f 1 t c              +   −           + ( ) ( ) 0 0      −      =  This article presents a new “Gravitational-Electromagnetic Equation” describing Electromagnetic Field Configurations which are simultaneously the Mathematical Solutions for the Scalar Quantum Mechanical “Schrodinger Wave Equation” and more exactly the Mathematical Solutions for the Tensor representation of the “Relativistic Quantum Mechanical Dirac Equation” (41). 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: The fundamental boundary condition for this alternative approach to gravity is the requirement that the Force 4 vector equals zero in the 4 dimensions, expressing a universal 4-dimensional equilibrium: The 3 spatial components of the Force-Density vector, as a result of Electro-Magnetic-Gravitational interaction can be written as: Substituting the electromagnetic values for the electric field intensity “E” and the magnetic field intensity “H” in (36) results in the 4-dimensional representation of the Electro-Magnetic-Gravitational Fields Equation (37): T = 0 = f     4 4 3 2 1 T = = = 0 f f f f f             Global Journal of Science Frontier Research ( A ) XXIV Issue IV Version I Year 2024 15 © 2024 Global Journals An Experiment to Test a New Theory in Physics, Fundamentally Different From General Relativity, by Changing the Speed of Light in Electromagnetic Interaction