【】 Full article: (Authored by Nader Butto, from Petah Tikva, Israel.)

This work presents a vortex-based geometric interpretation of atomic structure, in which electrons are described as localized vortex excitations embedded in a structured vacuum, offering a physically intuitive framework for understanding shells, subshells, orbitals, quantum numbers, and electron configurations without altering the formal structure of quantum mechanics. QUANTUM_NUMBERS vortex_geometry ElectronConfiguration.

1. Introduction

The atomic structure of matter represents one of the foundational achievements of modern physics and chemistry. Early experimental investigations by Rutherford established the nuclear model of the atom [1], while Bohr introduced the concept of discrete electronic energy levels to explain atomic spectra [2]. Sommerfeld subsequently extended this picture by incorporating angular momentum quantization and relativistic corrections [3]. These developments paved the way for the formulation of quantum mechanics, which replaced classical electron orbits with a wave-based description of electronic states.

The quantum-mechanical framework, formalized through the work of Schrödinger, Pauli, Born, and Dirac, provides a mathematically rigorous and highly successful description of atomic behavior [4]-[7]. Within this formalism, electrons are described by wavefunctions whose squared modulus gives the probability density of finding an electron in a given region of space. Atomic orbitals arise as solutions of the Schrödinger equation and are characterized by a set of quantum numbers that determine their energy, angular momentum, spatial orientation, and spin. This approach accurately predicts atomic spectra, selection rules, and chemical periodicity.