Just in case any folks still aren't convinced, here's old news of actual experimental observations of repulsive forces and dynamical Casimir effects. You can follow the trail right to the papers.
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The existence of the QV and its effects is experimentally verified. Starting with attraction between plates (old news), repulsive forces and dynamical effects linked to above.
Utilizing the properties of the QV for propulsion is no longer a theoretical problem. It is an engineering problem.
The existence of the quantum vacuum is not in doubt; nor the casimir force; not the dynamical Casimir effect.
None of these things enable the use of the quantum vacuum for propulsion, without an extension to quantum field theory as it is currently understood. So yes, it very much is still a theoretical problem.
No new field theory is needed. Just focused application of existing theory. All the theoretical work has already been done. It hasn't been brought under the same roof until now, and seemingly by accident.
The key enablers of QV propulsion in this context are:
1) Asymmetric casimir cavity, which is also operated as an RF resonant cavity.
2) A dielectric material which interacts both with the QV and the RF.
Basically a dielectric in an asymmetric vacuum and RF environment. Be it a resonant cavity on one side of the dielectric slug and open air on the other (Cannae), or a dielectric fully enclosed in an asymmetric resonant cavity (Shawyer).Take a sealed casimir cavity. By virtue of being sealed, it is also a resonant cavity. Only a finite number of resonant modes can exist within. The walls of this cavity are not parallel. This means that you have a force gradient from large to small end. Not equal like with parallel plates. A radiation pressure differential. A difference of potential. The potential to do work. This is on the vacuum side of the interaction.
Next is the Shawyer approach, with uneven radiation pressure inside the cavity. Another force gradient. Another difference of potential. The potential to do work. This is the RF side of the interaction.
Either of the above happening alone achieves nothing. Movement/thrust would be tantamount to pushing your car from the inside.
Place inside the cavity a dielectric, or
something better. The QV is known to interact with matter (vast amounts of evidence posted). RF is known to also interact with matter(vast amounts of evidence posted). This competing interplay of forces on the atoms of the dielectric, IMHO results in a biased random walk of the atoms comprising the dielectric; all atoms at once working together. This at the most fundamental level boils down to a simple momentum vector diagram. All this happening inside the asymmetric resonant cavity is the source of the thrust.
I am keenly aware that these are just words until it is shown exhaustively mathematically. I arrived at these ideas by reading a LOT of scattered material and a lot of preoccupied sleepless nights. I have arrived at this based off of very loose back of the envelope math. Given that the actual value of vacuum energy is a point of controversy and thus doesn't help me much. It is somewhere between extremely large or extremely small. Either way, I know there is vacuum energy difference in potential from the top to the bottom of the cavity and those relative differences are all that matter. From there, after mathematical conversion to momentum, it doesn't take a mathematician to know that the competing vacuum and RF momentum contributions to the dielectric aren't
exactly equal. So something has to budge. Also being that we're dealing with an asymmetric resonant cavity, there is a definite sign to the biased random walk, due to the anisotropy of the RF environment inside the cavity.
Or I am just flat wrong.....
The underlying concepts; Casimir effect, vacuum polarization, zitterbewegung predate WWII. All of which are tested and accepted.

The only thing left is for more replications to happen, and IF they succeed, a salient theory of operation using the established concepts described above needs to be formalized.
This all boils down to what you can do with matter and light when placed within a Casimir cavity.
No new field theory is required. Just new theory of application.
Side note:
If this thing by some miracle also ends up being antigravity, or modified inertia, then we'll need new theory.