Expect the next Star Trek series to explain warp drive as "an artifical inhibition of the Higgs field, allowing conventional matter to transition past light speed."
Star Trek incorrectly explained that by referring to 'inertia dampers' when they should have said 'inertia negation'. Inertia dampers are real devices but they have a completely different purpose.
In Star Trek, Inertia damping/negation is used to counter the effects of sudden acceleration that would impart structural stresses on star ships when suddenly accelerating to or decelerating with the impulse drive, and which would cause passengers to be thrown against walls and crushed by the inertial effects of the vehicle suddenly accelerating or slowing.
Such a device does not need to negate or alter inertia – a similar effect can be achieved by creating a gravitational field opposing the acceleration of the vessel. Such technology, while still nonexistent at the present time and considered unlikely to be achieved in the foreseeable future, is by far more realistic than manipulating inertial mass however maybe they will decide to capitalise on the Higgs discovery and refer to some form of Higgs shielding.