Theoretical Derivation of Bohr’s Postulate for the Charge in a Hydrogen Atom. Coulomb’s Law in Logarithmic Form with Corrections for Strong Interactions at Small Distances. The Physical Meaning of Planck’s Constant

Abstract

Vadim Khoruzhenko

Thisarticleproposesarevolutionarytheoreticalmodelthatintroducesafifthspatialdimension—”spacedensity”—as a fundamental property governing gravitational, electromagnetic, strong, and weak interactions. The model is based on the hypothesis that changes in space density can lead to phenomena analogous to known fundamental forces. Through a series of mathematical derivations, it is shown how the distribution of space density around spherical objects influences classical field theories. The main results include:

1. Theoretical Proof of Bohr’s Postulate: For the first time, a theoretical justification for Bohr’s postulate on the quantization of the electron’s angular momentum in a hydrogen atom is proposed, which is key to quantum mechanics.

2. Relationship Between Charge and Mass: Anovel relationship between charge and mass is established, allowing mass to be interpreted as the energy required to compress a clump of space density.

3. Complex Solution and Imaginary Energy: It is shown that the interaction of two clumps of space density has only a complex solution, where the imaginary part determines the resonant frequency of the system.

4. Strong and Weak Interactions: The model offers an explanation for strong and weak interactions through the properties of space density, opening new possibilities for understanding nuclear forces. This work not only reproduces known physical patterns but also provides a new perspective on the nature of fundamental interactions, linking them to the intrinsic properties of space.

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