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

Fig. 12: Nodal- and Antinodal Regions for Standing (Confined) Electromagnetic within two concentric spheres. Equation (18) V. U niversal E quilibriumin the “C oncept of Q uantum M echanical P robability ” in “T he N ew T heory ” The 4-dimensional notation forthe divergence of the Stress-Energy Tensor (25) expresses in the 4 th dimension (time dimension) the law of Conservation of Energy”. For an Electromagnetic Field the law for conservation of Energy has been expressed as: (29) From the equation for the “ Conservation of Electrom agnetic Energy”(38.1) the “Fundamental Equation for Confined Electromagnetic Interaction” in “The New Theory” will be derived, which equals the Relativistic Quantum Mechanical “Dirac” equation and the Schrödinger wave equation at velocities relative low compared to the speed of light. The “Fundamental Equation for Confined Electromagnetic Interaction” in “The Proposed Theory” can be considered to be the relativistic version of the Quantum Mechanical Schrödinger wave equation, which equals the Quantum Mechanical Dirac Equation. a) Confined Electromagnetic Energy within a 4- dimensional Equilibrium The physical concept of quantum mechanical probability waves has been created during the famous 1927 5 th Solvay Conference. During that period there were several circumstances which came just together and made it possible to create a unique idea of “Material Waves”(Solutions of Schödinger’s wave 4 4 4 3 3 2 2 1 1 T = = 0 w . S + = = f t f f f f f f f                              equation) being complex (partly real and partly imaginary) and describing the probability of the appearance of a physical object (elementary particle) generally indicated as “Quantum Mechanical Probability Waves”. The idea of complex (probability) waves is directly related to the concept of confined (standing) waves. Characteristic for any standingacoustical wave is the fact that the Velocity and the Pressure (Electric Field and Magnetic Field in QLT) are always shifted over 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: 1 E = B + i 2 c         (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         (31) The dot product equals the electromagnetic energy density w: Global Journal of Science Frontier Research ( A ) XXIV Issue IV Version I Year 2024 14 © 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