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
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 :
- 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.
- I.M. Abbas, IJISRT, Time Dependent Numerical Statistical Solution of the Partial Differential Heat Diffusion Equation, Volume 6, Issue ,January – 2021
- I. Abbas How Nature Works in Four-Dimensional Space: The Untold Complex Story, Researchgate, IJISRT review, May 2023
- Abbas etal, Theory and Design of audio rooms -A Statistical View, Researchgate, IJISRT review, July 2023
- John H. Mathews, Numerical methods for Mathematics, Science and Engineering,1994, pp. 346- 399.
- Mona Rahmani, UBC, Numerical methods for solving the heat equation, the wave equation and the Laplace equation (finite difference methods, January 2019
- B12- -I.Abbas, How to transform B-Matrix chains into Markov chains and vice versa, Researchgate, IJISRT review, December 2020
- I. Abbas, A statistical numerical solution for the time- independent Schrödinger equation, Researchgate, IJISRT review, November 2023.
- 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
- I. Abbas, A statistical numerical solution for the time- independent Schrödinger equation, Researchgate, IJISRT review, November 2023.
- I. Abbas, FALL and RISE of Matrix Mechanics, Researchgate, IJISRT review, January 2024.
- 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
- I.Abbas, Effective unconventional approach to statistical differentiation and statistical integration, Researchgate, IJISRT review, November 2022
- 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
- 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),
- I.M. Abbas, IEEE.1996, Pseudo spark -discharge, Plasma ScienceTransactions24(3):1106 - 1119, DOI:10.1109/27
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
