Droscher and Hauser took the theoy a step further

So, if a second ring of a different material is used, the extended theory predicts that there will be a point where the repulsive gravitophotons will begin to interact with the gravitons to create a significant amount of quintessence particles.

The quintessence particles will then reduce the gravitational potential of the spacecraft.

When this occurs violations of the conservation and energy and momentum arise.

So to avoid the violations, they say that the spacecraft will transition into what they called the nth parallel space.

In parallel space the physical laws will take on covariant forms that are characterized by a scaling transformation.

And just as in real space the velocity cannot be greater than the speed of light.

So, as we can see, the speed of light in parallel space is n time c, this means that real space superluminal velocities are possible. 

Also, since the lorentz transformation is invariant, when a spacecraft transitions from real space into nth parallel space and back to real space, the spacecraft will have traveled some distance in real space.