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

(22) With “K” a constant value dependend of the mass of the BLACK HOLE. The Dot product between the unit vector and the Quantum Vector Function φ represents the quantum mechanical probability function [ , t] r Ψ which is a fundamental solution of the Schrödinger Wave Equation. (23) The Scalar function represents a fundamental solution of the Quantum Mechanical Schrödinger wave equation. [36, 37] a) Black Holes with Discrete Spherical Energy Levels at Sub-Atomic dimensions A critical condition for the containment of Electromagnetic Energy is that the Poynting vector equals zero at the spherical surface of the confinement. In the case of confinement within a sphere, a standing electromagnetic wave pattern necessitates the presence of concentric spheres. At each sphere, there exists an antinodal plane for either the electric field (E) or the magnetic field (B), with a distance in radius between each sphere equivalent to half the wavelength of the confinement. The constant k is defined as k = n *π * λ , where "n" is a natural number (1, 2, 3, 4, ...) and λ represents the wavelength. i. Time and Radius dependent Black Holes with discrete Energy Levels. The confinements of Electromagnetic Radiation within spherical Regions Every concentric sphere represents an anti- nodal surface for the Electric Field (E) or the Magnetic Field (H). The Poynting Vector^: S = E H × at this spherical surface equals zero at any time and at any location at this sphere. The Electromagnetic Energy persists within each sphere and the subsequent concentric sphere. These concentric spheres are characterized by a difference in radius equivalent to half a wavelength of the electromagnetic radiation contained within the confinement, corresponding to distinct discrete energy levels. Each concentric sphere serves as an antinodal surface for either the electric field or the magnetic field. Fig. 5: Nodal and Antinodal Spheres for Standing (Confined) Spherical Electromagnetic waves with a 90 degrees phase shift between the Electric field and the Magnetic field. Equation (9) ( ) ( ) ( ) ( ) ( ) ( ) 0 0 1 8 π r E ( , , ) = H + i f(r) 2 0 ε ( , , ) Cos ω t μ - i Cos i Sin ω t 0 0 0 0 - Sin k r Sin k r 0 k r i Cos k r e r G = r c r K θ ϕ ε µ µ θ ϕ θ ϕ −  Φ     Φ Φ        Φ          Φ             ( ) ( ) ( ) ( ) ( ) ( ) ( ) { } ( ) ( ) 0 0 0 0 1 8 π r 1 8 π r 0 ε ( , , ) Cos ω t μ - i Cos i Sin ω t 1 1 1 0 ε ε = Cos ω t = μ μ i Sin ω t 0 0 0 0 - Sin k r Sin k r 0 k r i Cos k r r, t e e e G G = r K K K ε µ ε µ θ ϕ − − −         Φ                 Ψ       0 0 1 8 t π r i e G ω ε µ Global Journal of Science Frontier Research ( A ) XXIV Issue IV Version I Year 2024 55 © 2024 Global Journals A Reinterpretation of Quantum Physics