2005/11/02 by Kunming Xu, Xu, Kunming · 1 citation
Physics and Astronomy · #Experimental and Theoretical Physics Studies #FOS: Physical sciences #General Physics (physics.gen-ph) #Quantum Mechanics and Applications #Quantum and Classical Electrodynamics #physics.gen-ph
paper · pdf · doi:10.48550/arxiv.physics/0511020
20 pages, 10 figures
arxiv created 2005/11/02 · openalex publication_date 2005/11/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Euclidean geometry does not characterize dynamic electronic orbitals satisfactorily for even a single electron in a hydrogen atom is a formidable mathematical task with the Schrodinger equation. Here the author puts forward a new spacetime concept that regards space and time as two orthogonal, symmetric and complementary quantities. They are inherent physical quantities that cannot be divorced from physical objects themselves. In two-dimensional helium shell, space and time are instantiated by two interactive 1s electrons; in four-dimensional neon shell, space and time dimensions blend into four types of curvilinear vectors represented by 2s, 2px, 2py, and 2pz electronic orbitals. The description of electronic orbitals constitutes an explanation of canonical spacetime properties such as harmonic oscillation, electromagnetism, and wave propagation. Through differential and integral operations, the author formulates a precise wavefunction for every electron in an inert neon atom where spacetime, as dimensional graduated by ten electrons, is continuous, and trigonometric function is the mechanism for dimension curling up. This fresh spacetime view based on dimensional interpretation of complex functions is an extension of classical mechanics and is compatible with relativity and quantum physics. It brings sharp insight into the geometries of 2p-orbitals and has broad support from chemistry.