Foundations of Quantum Mechanics and General Relativity – Theory and Practice –Part II


Authors : Ismail Abbas

Volume/Issue : Volume 10 - 2025, Issue 8 - August


Google Scholar : https://tinyurl.com/ytbvr79c

Scribd : https://tinyurl.com/sbktfprw

DOI : https://doi.org/10.38124/ijisrt/25aug071

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Abstract : One might wonder how two seemingly different subjects or theories, one Eastern (quantum mechanics) and the other Western (general relativity), can fit together.  The Answer is that they have More Common Properties than Differences.  Both live and operate in an infinite free space bounded by Dirichlet boundary conditions.  Both can be studied via matrix mechanics in a 4D unit x-t space, inside a closed volume delimited by a closed area, proposed by the author as a control volume.  The proposed definition of the force vector Fxy, Fxt, Fyz...etc. is similar for both.  Most importantly, the geometry of both theories in x-y-z space follows the sawtooth shape, whether in 1D, 2D or 3D. Matrix models can be used to describe the relationships between the dynamics of classical/quantum systems and spacetime curvature information. We therefore assume that the foundations of quantum mechanics and general relativity should be related in some way, since they both constitute a special case of studying the vacuum energy density within the same statistical theory of Cairo techniques.  In Previous Articles, we have Stated that: Cairo Intelligence Techniques = Natural Intelligence = Artificial Intelligence in the strict sense = Unified Field Theory is a universal law of physics in the 4D unitary x-t space. This outstanding paper reformulates the foundations of quantum physics and classical general relativity to fit the predefined control volume in the four-dimensional unitary x-t space and explains in more detail what the principles of quantum mechanics and general relativity are. The current description of quantum physics and Einstein's theory of gravity is incomplete and even misleading. General relativity and quantum mechanics are the newest sciences and should therefore be the most accurate, but unfortunately, the opposite is true. The field of cosmic science, or the nature of the universe, as well as the subject of quantum physics, is so vast and confusing that its theoretical practitioners will always have to adopt new explanations from their own context to conform to the facts of recent discoveries. Here we use the techniques of B-matrix mechanics applied to Cairo's statistical theory to define and establish what are called the second theory of quantum mechanics and the second theory of general relativity.  In this Article, we Provide a Rigorous and Detailed Answer to Two of the Most Important Questions:  Is the conceivable theory of quantum mechanics that of the classical Schrödinger equation of 1927, supplemented by Bohr's interpretation of the Ψ wave function, or that of the square of the Schrödinger equation solved by the strings of matrix mechanics B for Ψ squared, supplemented by the advanced strict artificial intelligence of the Cairo Techniques?  Is gravity a virtual force induced by the curvature of space, or a real force causing this curvature? Contrary to current expectations, the answer to these two questions, as derived from the application of the Cairo Techniques theory, of which they are a part, demonstrates the following:  The conceivable theory of quantum mechanics consists of describing the square of the Schrödinger equation as solved by the strings of the transition matrix B, supplemented by the advanced strict artificial intelligence of the Cairo Techniques.  Contrary to Einstein's conclusion, gravity is a real force that induces curvature in space, and not the other way around. This suggests that the graviton should theoretically exist, but in cosmic space, not on Earth.

References :

  1. Search on Google and Wikipedia.
  2. Matt Strassler, The Impossible Commentary: Is Gravity a Force? Is It an Illusion?, https://bigthink.com › hard-science › gravity-force-com, 10/26/2023.3-SE or its square?
  3. I. Abbas, A numerical statistical solution for Laplace and Poisson PDE, ResearchGate, International Journal of Innovative Science and Research Technology, October2020.
  4. John Mathews, Numerical Methods, Printice-hall Inc., 1992
  5. I.Abbas, SE square
  6. I.Abbas, An Efficient Replacement for Schrödinger's Partial Differential Equation April 2024International Journal of Innovative Science and Research Technology DOI: 10.38124/ijisrt/IJISRT24APR1768 Lab: Ismail Abbas's Lab
  7. I.Abbas,Fundamentals of Quantum Mechanics Theory and Practice May 2025 Lab: Ismail Abbas's Lab Quantum Buzzle, Vacuum Dynamics and the Big Bang June 2024International Journal of Innovative Science and Research Technology DOI: 10.38124/ijisrt/IJISRT24JUN1700 Lab: Ismail Abbas's Lab8-Fundamenls of QM
  8. I.Abbas, BOOK Fundamentals of Artificial Intelligence 2025, Amazon.
  9. I.Abbas, THEORY AND PRACTICE OF ARTIFICIAL INTELLIGENCE, Article, ResearchGate, IJISRT journal, March 2025
  10. I. Abbas, A Rigorous Reformulation of Einstein's Derivation of Special Relativity, ResearchGate and IJISRT Journal, 2023.
  11. I.Abbas, A rigorous experimental technique for measuring the thermal diffusivity of metals August 2022,Lab: Ismail Abbas's Lab
  12. I.Abbas, IJISRT journal, FALL and RISE of Matrix Mechanics January 2024 Lab: Ismail Abbas's Lab
  13. An Effective Alternative to Current Mathematics October 2024International Journal of Innovative Science and Research Technology DOI: 10.38124/ijisrt/IJISRT24SEP1243
  14. I. Abbas, Quantum Buzzle, Vacuum Dynamics and the Big BangJune 2024 International Journal of Innovative Science and Research Technology, DOI:10.38124/ijisrt/IJISRT24JUN1700
  15. Abbas, BOOK, Fundamentals of Artificial Intelligence March 2025-Amazon.
  16. I.Abbas, Foundations of Quantum Mechanics and General Relativity – Theory and Practice, ResearchGate, August 2025.
  17. Abbas, How to transform B-Matrix chains into Markov chains and vice versa, ResearchGate, IJISRT review, December 2020.
  18. I.M. Abbas et al, 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),8-
  19. I.M. Abbas et al, IEEE.1996, Pseudo spark discharge, Plasma Science Transactions 24(3):1106-1119,DOI:10.11

One might wonder how two seemingly different subjects or theories, one Eastern (quantum mechanics) and the other Western (general relativity), can fit together.  The Answer is that they have More Common Properties than Differences.  Both live and operate in an infinite free space bounded by Dirichlet boundary conditions.  Both can be studied via matrix mechanics in a 4D unit x-t space, inside a closed volume delimited by a closed area, proposed by the author as a control volume.  The proposed definition of the force vector Fxy, Fxt, Fyz...etc. is similar for both.  Most importantly, the geometry of both theories in x-y-z space follows the sawtooth shape, whether in 1D, 2D or 3D. Matrix models can be used to describe the relationships between the dynamics of classical/quantum systems and spacetime curvature information. We therefore assume that the foundations of quantum mechanics and general relativity should be related in some way, since they both constitute a special case of studying the vacuum energy density within the same statistical theory of Cairo techniques.  In Previous Articles, we have Stated that: Cairo Intelligence Techniques = Natural Intelligence = Artificial Intelligence in the strict sense = Unified Field Theory is a universal law of physics in the 4D unitary x-t space. This outstanding paper reformulates the foundations of quantum physics and classical general relativity to fit the predefined control volume in the four-dimensional unitary x-t space and explains in more detail what the principles of quantum mechanics and general relativity are. The current description of quantum physics and Einstein's theory of gravity is incomplete and even misleading. General relativity and quantum mechanics are the newest sciences and should therefore be the most accurate, but unfortunately, the opposite is true. The field of cosmic science, or the nature of the universe, as well as the subject of quantum physics, is so vast and confusing that its theoretical practitioners will always have to adopt new explanations from their own context to conform to the facts of recent discoveries. Here we use the techniques of B-matrix mechanics applied to Cairo's statistical theory to define and establish what are called the second theory of quantum mechanics and the second theory of general relativity.  In this Article, we Provide a Rigorous and Detailed Answer to Two of the Most Important Questions:  Is the conceivable theory of quantum mechanics that of the classical Schrödinger equation of 1927, supplemented by Bohr's interpretation of the Ψ wave function, or that of the square of the Schrödinger equation solved by the strings of matrix mechanics B for Ψ squared, supplemented by the advanced strict artificial intelligence of the Cairo Techniques?  Is gravity a virtual force induced by the curvature of space, or a real force causing this curvature? Contrary to current expectations, the answer to these two questions, as derived from the application of the Cairo Techniques theory, of which they are a part, demonstrates the following:  The conceivable theory of quantum mechanics consists of describing the square of the Schrödinger equation as solved by the strings of the transition matrix B, supplemented by the advanced strict artificial intelligence of the Cairo Techniques.  Contrary to Einstein's conclusion, gravity is a real force that induces curvature in space, and not the other way around. This suggests that the graviton should theoretically exist, but in cosmic space, not on Earth.

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30 - November - 2025

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