The so-called "light speed engine" isn't discussed in detail but appears to be an ion engine which has already been used on space probes. Ion engines are a significant improvement over chemical engines because the speed of the ions it ejects is far, far faster than the speed of chemical propellant, which means a far stronger thrust is enjoyed per unit of mass ejected. It does not violate any laws of physics. However, the amount of ions these engines can eject over time eject is, at present, tiny and quite inferior to chemical engines making acceleration quite slow so they are no good in braking during planetary reentry.
I was expecting something other than an ion engine to be discussed.
The only thing I've ever seen that violates the laws of physics -- biophysics in particular -- is how a woman can gain 4 pounds by eating 4 ounces of ice cream.