Paul Bailey’s research while affiliated with Johnson Space Center and other places

In this paper, Madelung’s quantum Euler equations will be re-derived, which will be shown to lead to the familiar form of the acoustic wave equation for a medium. A model of the density variation in the vacuum field around the nucleus of the hydrogen atom is then introduced and used to create a simplified representation of the atom in COMSOL. The time-independent form of the acoustic wave equation (Helmholtz equation) is used to find the eigenfrequency acoustic modes of the simulated atom. The analysis technique for the single atom case is extended to build a model of molecular hydrogen, and the numerical analysis results are presented and discussed. The paper concludes with some speculative discussion on the nature and make up of the dynamic vacuum medium being modeled around the hydrogen nucleus. This polar form of the Schrödinger equation can be separated into its real and imaginary parts respectively:

A vacuum test campaign evaluating the impulsive thrust performance of a tapered radio-frequency test article excited in the transverse magnitude 212 mode at 1937 MHz has been completed. The test campaign consisted of a forward thrust phase and reverse thrust phase at less than 8×10−6 torr vacuum with power scans at 40, 60, and 80 W. The test campaign included a null thrust test effort to identify any mundane sources of impulsive thrust; however, none were identified. Thrust data from forward, reverse, and null suggested that the system was consistently performing with a thrust-to-power ratio of 1.2±0.1 mN/kW.

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.