Circle Fractaloids and PI Constant Screening Method in Quantum Mechanics
Abstract
Pavel Florian
The Dirac constant, also known as the reduced Planck constant, is the Planck constant divided by 2π. This constant is utilized in the quantization of angular momentum and spin in quantum mechanics. Although it has not been directly measured as the regular Planck constant h, which was first used by Max Planck in to explain the quantization of direct motion and the radiation of a black body, it is believed that circular motion can be accurately described by this constant [1,2].
In this study, a new method was developed for multi-nucleus electron systems with non- zero inter-electron integrals, where the Dirac constant is squared and the influence of the π value is not entirely eliminated from the description of the system's energy, electron energy levels and wavefunctions.
This method involves using alternative π constant values for circle fractaloids instead of the regular circle π for highly precise quantum chemistry computations, with the goal of determining the most accurate π value. The π values for circle fractaloids are found to be greater than the regular circle π, and the results suggest that particles may be moving in a fractal space-time for inner movements.
