THE THEORY OF COMMUNICATION DYNAMICS: Application to Modelling the Valence Shell Orbitals of Periodic Table Elements

Abstract

Atoms are considered basic building blocks of the material world. Computational modeling is a useful technique for studying and predicting natural events. Due to the complexity and wide scale range of particle systems, current computational modelling approaches, including Classical Mechanics, General Relativity, and Quantum Mechanics are separately designed to describe systems at different sizes and precisions. While these disparate models have practical value for discrete, domain-specific problems, lack of consistency between models results in challenges when multi-scale integration and computational scalability is required. In this paper, we proposed a novel theoretical framework, inspired by the communication theory of Shannon, to describe physical reality from a new perspective. We call this approach Communication Dynamics. As an initial demonstration of the relevancy of this model, we represent electron orbital structures of atoms. Our model aims to use a uniformly applicable mathematical formula to describe natural structures at different scales. We believe this information theoretical approach represents a new way to investigate particle-wave duality and opens a pathway to multi-scale model integration between physics and other fields of science. The appendix containing actual calculations is 141-page Wolfram Mathematica file, which can be obtained from SDPS web page.