rooted in my new relativistic energy momentum relation (that is correct, gives same values as old, but rooted in Compton instead of de Broglie) I go forward and try to make a wave equation...dose this makes more sense (than my last idiot attempt)?

\begin{equation}

- \hbar \frac{\partial \Psi }{\partial t}=-\hbar \nabla \cdot(\Psi \textbf{c})

\end{equation}

where \(\textbf{c}=(c_x, c_y, c_z)\) would be the light velocity field. Dividing both sides by \(\hbar\), we can rewrite this as

\begin{equation}

- \frac{\partial \Psi}{\partial t}=- \nabla\cdot(\Psi \textbf{c})

\end{equation}

The light velocity field satisfy

\begin{equation}

\nabla \cdot \textbf{c}=0

\end{equation}

that is the light velocity field is a solenoidal which means we can re-write our wave equation as

\begin{equation}

\frac{\partial \Psi }{\partial t}-\textbf{c}\cdot \nabla \Psi = 0

\end{equation}

and yes same structural form as the Advection equation, thanks for tips C.
On the ``expanded" form we have
\begin{equation}

\frac{\partial \Psi }{\partial t}- c_x\frac{\partial \Psi }{\partial x}- c_y\frac{\partial \Psi }{\partial y}- c_z\frac{\partial \Psi }{\partial z}=0

\end{equation}

This last equation seems to makes some logical sense to me.. 4 dimensional quantum space-time?? or nothing there, errors, grave errors? light is special so have to be careful when cooking with it, uncooking also risky, especially when new to the art...

hemmm....