Is this solution for interstellar travel viable?

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TL;DR
Does Casimir Vacuum gravitationally repeal matter? If so, there is a way to enhance the effect through B field? If so, what are the consequences for interstellar travel?
I have in mind a way to enable FTL travel. Is this way viable?

In the paper: "Weighing the vacuum with the Archimedes experiment"

we can see the dependency of the gravitational repulsion exerted by Casimir Vacuum on the energy between the plates. The force goes as E / c^2.

In the papers: "Casimir effect with quantized charged spinor matter in background magnetic field"

we can observe that negative energy between the plates can be arbitrarily low if a B field sufficiently strong is provided. Moreover when the B field diverges the total energy (field energy + Casimir vacuum energy) goes to minus infinite. (see equations 85, 106, 107 for the Casimir vacuum energy) So this implies that, if a B field sufficiently strong is provided, we can have an arbitrarily strong repulsive gravitational force: it is exactly what we need in order to make FTL travel possible.

To understand why, read the following: fact is that, when negative mass is involved, the Shapiro effect changes sign so, instead of a Shapiro delay, you'll have a Shapiro 'early arrival'. So, in presence of a negative gravitational mass, light (and ultra relativistic particles or spaceships) cover the distance between A and B in a time shorter than d(A,B)/c0. Where d(. , .) is the ordinary euclidean distance. For the same reason, in presence of a positive gravitational mass, light (and ultra relativistic particles) cover the distance between A and B in a time higher than d(A,B)/c0.

The aforementioned idea (the Shapiro time gain) is not new but was presented in

"Microlensing by natural wormholes: Theory and simulations"
 
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Giovanni Cambria said:
gravitationally speaking 2 Casimir plates are equivalent to a (very tiny) negative mass.

No, they're not. Dark energy, which is basically what the region between two Casimir plates is being described as in the references you give, has positive energy density and negative pressure. This does lead to effects like the accelerated expansion of the universe, but it in no way allows FTL travel.

Giovanni Cambria said:
negative Shapiro delay

Which just means that the path of light through spacetime is different from what one would expect if spacetime were flat, in such a way that the travel time is shorter. But that is a change in the structure of the light cones in spacetime. It is not a way for anything to travel FTL, i.e., outside the light cones.

In short, you have a fundamental misunderstanding.

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