Four-Dimensional Atomic Structure and Law (eBook)

A novel spacetime theory was developed to model the atomic structure and the law of electronic motion. Four space dimensions are four geometric elements in a sphere: two periphery points, two semicircular arcs, two hemispherical surfaces, and the inner and outer solid spheres that correspond to the electron octet in a neon shell. The dimension stairs within the atoms are the theoretical basis of electronic orbital quantization in quantum mechanics. The law of nature is dynamic calculus of spherical quantities that defines the motion of an electron from one dimension to another featuring general harmonic oscillation. The fresh mindset will subvert the traditional worldview. Two-dimensional spacetime is described with the instantiation of a helium shell in rigorous mathematics and extended to life phenomena. A husband and a wife are two dimensions of the family; and animals and plants are two kingdoms of the advanced lives. The interplay and transformation between both dimensions are the eternal theme of nature and can be abstracted as a mathematical rope. A DNA molecule, composed of space and time strands, is a stepwise LC oscillatory circuitry or a rope; so is a human lineage with both sexes. Under the four-dimensional space framework, we formulate the wave functions of all electrons within inert atoms. The electronic structure of a chiral carbon conforms to the yin and yang theory and the five element theory in traditional Chinese medicine. It constitutes a physical instance of spherical quantity solutions to three-dimensional Schrodinger's equation. Spherical quantities in dynamic calculus complement physical quantities with linear algebra, comply with the Pythagorean theorem and Maxwell's equations, and characterize the rhythms of entities essentially.