Completely pseudoscience.
As stated, wormholes and Alcubierre drives are in GR, but forbidden, which is due to the fact that true negative energy that causes a negative curvature of space-time does not exist based on all observations. The Casimir effect does not produce true negative energy. It can be explained in terms of the van der Waals force, which is simply an electromagnetic force, plates that are close together are attracted to each other because that puts them in a lower energy configuration, same as 2 opposite charges being close together is a lower energy configuration. The mass of the plates themselves will always be much larger than the equivalent reduction in energy they experience.
The gibberish about high energy lasers, rotating mirrors and negative energy is not worth going into. Their citation is to someone who is some sort of crackpot or fraudster, known for running a terrible study demonstrating psychic powers which was later thoroughly disproven:
https://en.wikipedia.org/wiki/Harold_E._PuthoffThe specific paper you linked has all sorts of nonsense, such as claiming that something moving close to the speed of light could somehow "tunnel" to the other side of the light barrier, but this ignores the basis of relativity that states that all reference frames are equivalent, and therefore an object sitting on your desk could equivalently be considered to be moving at near the speed of light. There is no valid frame to measure velocity relative to, and their entire discussion is therefore nonsensical.
For added evidence that the authors are either completely incompetent or deliberately deceptive, they cite the "FTL neutrinos" from CERN from 2011. In 2012, results were published documenting the errors in that experiment, and showing consistency with the limit of the speed of light. The paper you cited is dated 2017, and the authors should have been aware of, or at least done a simple search to find the follow up results.