The p0 is the Newtonian momentum, so Eqs. (29) and (32) can be solved, p0 does not contain gamma but p contains gamma:
p = gamma p0 = gamma m v = h bar kappa
and
E = gamma m c squared = h bar omega
as in many previous UFT papers.
. The origin of the Lorentz factor gamma is relativistic, i. e.
c squared dtau squared = c squared dt squared – v squared dt squared