This page is simply thinking out loud, there are obvious issues with this logic as is. But the concept is worth looking into and considering physical evidence.
As a possible explanation for why only the \(E_A\) energy interacts with the photon in a way to absorb and create a photon. It is here conjectured that photon energy interaction with the system only creates or absorbs photons when space-time is contracting or expanding, and at a proportional energy level to the additional energy due to the contracting or expanding of space-time. This conjecture leads to a postulate for the model: Photon creation and absorption only happens when there is a change in the curvature of space-time. Mathematically:
\(
\begin{equation}
\Delta C =
\begin{cases}
\mbox{absorption}, & \mbox{When $\Delta$C is positive} \\ \mbox{creation}, & \mbox{When $\Delta$C is negative}
\end{cases}
\end{equation}
\)
Where C is the curvature of space-time. When the change in curvature is positive (increasing – away from zero curvature) there is an energy increase in the system causing the change in space-time curvature, thus the energy was adsorbed. When the change in curvature is negative (decreasing – toward zero curvature) there is an energy decrease in the system causing the change in space-time curvature, thus energy is created (photon). If over a period of time \(\Delta C = 0\) there is no change in space-time curvature thus no absorption or creation of photons. Providing a possible explanation as to way an electron can be in motion (orbital motion) and not emit a photon. Therefore the following postulate is proposed for the model.
\textbf{Postulate 1. } \textit{Photon creation and absorption only happens when there is a change in the curvature of space-time.}
\)
For clarity, the postulate states when a change of the curvature of space-time happens (an event), the event generates either an absorption or creation a photon. If there is not event (i.e. change in the curvature of space-time) then no photon is absorbed or created.
Previous Angular Momentum of the Hydrogen Atom via Scalar Model