Authors : Dr. Ismail Abbas

Volume/Issue : Volume 9 - 2024, Issue 5 - May

Google Scholar : https://tinyurl.com/2astna28

Scribd : https://tinyurl.com/2k7abc2p

DOI : https://doi.org/10.38124/ijisrt/IJISRT24MAY1442

Note : A published paper may take 4-5 working days from the publication date to appear in PlumX Metrics, Semantic Scholar, and ResearchGate.

Abstract : The modern theory of quantum mechanics is incomplete. It is capable of describing the quantum energy field on the microscopic scale via the Schrödinger equation and its derivatives but is not capable of describing the energy field on the macroscopic scale such as the domain of thermal diffusion and sound intensity in audio rooms. . etc. On the other hand, in previous articles we have shown that the so-called theory of Cairo techniques and its chains of B matrices are more complete. They can numerically resolve both the macroscopic energy field on the thermodynamic scale, such as the energy field in thermal diffusion PDEs, and the sound energy field of PDEs in audio rooms. . etc. In a precise and revolutionary way. Additionally, they are also capable of describing and resolving the quantum energy distribution at the microscopic scale initially described via the Schrödinger equation and its derivatives. Considering that they can describe and solve pure mathematical problems such as numerical integration and infinite integer series in more detail, we better conclude that the numerical statistical methods of Cairo techniques and its B matrix chains are capable of describing almost all fields with the exception of the gravitational field (of general relativity) which will be the subject of the next article. Therefore, we propose that the Cairo techniques and their B-matrix chains constitute the required foundations of a unified field theory. It's logical and it makes sense. In this paper, we present detailed theoretical and numerical studies of six diverse physical and mathematical studies where the numerical results are surprisingly accurate. In conclusion, B-matrix strings and numerical statistical theory of Cairo techniques provide a framework for a unified energy density field theory. Schrödinger's equation can be considered as a diffusion equation with a diffusion coefficient β 2 = ħ / 2 m . D=(6.65E-34/2 Pi/2.9.31E-31=E-34/18.6 E-31=E- 3/18.6=5.6E-4. . !! SQRT Mue 0/Eps 0)=377 Ohm = Z01/Z0 =2.65 E-3 mho

References :

1. I.M. Abbas, A Numerical Statistical Solution to the Laplace and Poisson Partial Differential Equations, I.M. Abbas, IJISRT review, Volume 5,Issue11, November – 2020.
2. I.M. Abbas, IJISRT, Time Dependent Numerical Statistical Solution of the Partial Differential Heat Diffusion Equation, Volume 6, Issue ,January – 2021
3. I. Abbas How Nature Works in Four-Dimensional Space: The Untold Complex Story, Researchgate, IJISRT review, May 2023
4. Abbas etal, Theory and Design of audio rooms -A Statistical View, Researchgate, IJISRT review, July 2023
5. John H. Mathews, Numerical methods for Mathematics, Science and Engineering,1994, pp. 346- 399.
6. Mona Rahmani, UBC, Numerical methods for solving the heat equation, the wave equation and the Laplace equation (finite difference methods, January 2019
7. B12- -I.Abbas, How to transform B-Matrix chains into Markov chains and vice versa, Researchgate, IJISRT review, December 2020
8. I. Abbas, A statistical numerical solution for the time- independent Schrödinger equation, Researchgate, IJISRT review, November 2023.
9. I. Abbas, Cairo Techniques Solution of Schrödinger's Partial Differential Equation -Time Dependence, March 2024International Journal of Innovative Science and Research Technology DOI: 10.38124/ijisrt/IJISRT24MAR911
10. I. Abbas, A statistical numerical solution for the time- independent Schrödinger equation, Researchgate, IJISRT review, November 2023.
11. I. Abbas, FALL and RISE of Matrix Mechanics, Researchgate, IJISRT review, January 2024.
12. Cairo Techniques Solution of Schrödinger's Partial Differential Equation -Time Dependence March 2024International Journal of Innovative Science and Research Technology DOI: 10.38124/ijisrt/ IJISRT24MAR911
13. I.Abbas, Effective unconventional approach to statistical differentiation and statistical integration, Researchgate, IJISRT review, November 2022
14. I. Abbas, Using matrix algebra, how to show that the infinite power series [(1+x)/2]^N is equal to (1+x)/(1-x), ∀x∈[0,1[Nov.2020
15. A critical analysis of the propagation mechanisms of ionizing waves in the event of a breakdown, I Abbas, P Bayle, Journal of Physics D: Applied Physics13 (6),
16. I.M. Abbas, IEEE.1996, Pseudo spark -discharge, Plasma ScienceTransactions24(3):1106 - 1119, DOI:10.1109/27