Dynamics of the Vacuum and Casimir Analogs to the Hydrogen Atom

Abstract

This paper will discuss the current viewpoint of the vacuum state and explore the idea of a “natural” vacuum as opposed to immutable, non-degradable vacuum. This concept will be explored for all primary quantum numbers to show consistency with observation at the level of Bohr theory. A comparison with the Casimir force per unit area will be made, and an explicit function for the spatial variation of the vacuum density around the atomic nucleus will be derived. This explicit function will be numerically modeled using the industry multi-physics tool, COMSOL, and the eigenfrequencies for the n = 1 to n = 7 states will be found and compared to expectation.