If there is no constrain on \(x_z\) other than,
\(m_{\rho}c^2-\int^{x_a}_{0}{\psi}dx\ge0\)
since,
\(x_a=2x_z\)
\(m_{\rho}c^2-\int^{2x_z}_{0}{\psi}dx\ge0\)
from the post "We Still Have A Problem", then \(x_z\) can take on all values from
\(0\lt x_z\lt x_{z\,max}\)
where,
\(m_{\rho}c^2=\int^{2x_{z\,max}}_{0}{\psi}dx\)
A particle under no force from its surroundings will tend towards maximum \(\psi\), being mass-less. Under the action of a force (or to provide a centripetal force) the particle will change its \(\psi\) such that,
\(F=-\cfrac{\partial\,\psi}{\partial\,x}=F_{external}\)
the force \(F\) as a result of \(\psi\) equals the external force as required.
The particle's mass changes as the forces around it. In the case of a photon oscillating between one time dimension and one space dimension, it experiences less constrain by way of the space dimension than a charge or gravity particle that oscillate between two space dimensions. So, a photon fully manifest itself as \(\psi\). A charge or gravity particle experiences more constrain in two dimensions cannot manifest fully as \(\psi\) and so has mass.
If this is true, we can distill a photon to have mass by applying a force in the one space dimension that it is oscillating. And since a photon can display negative \(\psi\) effects, an electron (charge) or gravity particle can be made mass-less in a stream of photons, where the particle fully manifest itself as \(\psi\).
Under the right conditions we can all turn into pure energy.
