4. Atomic orbital transition modeling using a Planck scale quantum gravity simulator

Abstract

A gravity orbit simulation program that reduces orbits to rotating n-body particle-particle orbital pairs at the Planck scale was adapted to map atomic orbitals as electron-proton orbital pairs. The orbital is treated not as a region of probability where the electron may be found, but instead as a physical unit of momentum identical to the photon albeit of inverse phase. Furthermore it is the orbital radius (the Bohr radius) which is treated as the physical structure, while rotating it pulls the electron with it creating the orbit. This orbital (Bohr) radius can be subdivided into (it is a construct of) discrete alpha (Sommerfeld fine structure constant) steps. During the electron transition phase between orbitals, the photon adds to (or subtracts from) the orbital radius in these alpha steps (the electron has a passive role), the simulation then calculates the relativistic velocity for each step and then sums over the transition. An incoming photon, as described by the Rydberg formula, first divides into 2 photons, the first photon cancels the existing orbital (ionization of this orbital radius), the second (transition phase) photon replaces it with the new orbital (new orbital radius). Photons are specific for each transition and show a linear relation between orbital radius and transition frequency.

Keywords: atomic orbitals, electron transition, Rydberg formula, gravitational orbitals, simulation hypothesis, mathematical universe, quantum gravity, Planck unit, Planck scale

JEL Classification: C60