Mathematical Modeling of Fine Superstring Structure of Hydrogen Atoms

To address the phenomenon of electron clouds in hydrogen atoms and other extra-nuclear electron clouds, a high-dimensional confinement and asymptotic freedom theory of electron pairs is proposed. Furthermore, to resolve the non-contradictory interaction between electrons and protons, a string reaction theory is introduced. The model presented explains not only why electrons do not combine with protons to lose their electron cloud motion properties but also why multiple extra-nuclear electrons do not undergo classical collisions. Additionally, it provides an explanation for the string reaction nature of the photoelectric effect. The model presented herein is supported by previous laboratory results. The paper presents a model of string reaction between electrons and protons, which explains the trajectory of electrons in hydrogen atoms and why electrons can continuously orbit around protons. This innovative model describes that, under certain constraints, electrons can traverse through protons. After traversal, the electrons retain their original physical properties but undergo slight changes in velocity, while the physical properties of the protons remain unchanged. This model explains using string theory, transforming the purely mathematical nature of string theory into an interpretation of the physical phenomena. This demonstrates that string theory is a practical tool that can be applied to physics.