"It's operationally going forwards and backwards at the same time as long as the soloton is not slowed by a diffracting EM field or to rest by absorption. best jrc"
...it sounds like your soliton paths are very much like photon paths... so you are getting to where you can make up a universe. Here is my post on how quantum gravity bonds bodies to the universe and not really to each other. Rather, it is the sprinkled photon shadows that make it seem like there is a force of gravity between bodies.
Universe from Sprinkled Random Photons
You mention that light velocity limits all action, which is certainly true. The quantum photon does not really have a direction because it is the emitter and absorber that give meaning to the photon direction. By definition, the absorber is an absorber because the photon decays to heat faster than it decays at the emitter.
In fact, if the absorber does not absorb at all, it is a mirror and reflects the photon back to the emitter... which can also be a mirror. This is how lasers work...
So the arrow of time comes from the sprinkled random photon paths along with the photon decay to heat at the absorber. Note that the heat produced is also quantum emission of multiple lower frequency photons but now with random phase and direction.
Those new photon paths are causally linked to the first photon path, but now also randomly sprinkled photon paths.
What is really fun is that these paths now show both scalar gravity between bodies as well as vector gravity that is perpendicular to that line. Vector gravity is what stabilizes galaxy rotations, not dark matter. Vector gravity is due to moving bodies that radiate and is analogous to moving charge generating magnetic fields...