Warp does work
Ok!.... so the original Phoenix was supposedly constructed of titanium, which in theory probably would not be able to withstand the Ionized radiation, but Zephram Cochrane survived so this must mean that the cockpit was lined with something else that was able to withstand the warp speed trial. lol
But more modern ships such as the NX Enterprise had Polarized Duranium Hull Plating which protected the ship from phased energy beams, which also travel at the speed of light. Not only that but the NX Enterprise is equipped with a navigational deflector which if I am not mistaken is explained to be a shield that is operational during warp speed to deflect stray particles.
So I guess that proves MR US Boffin Incorrect.
Maybe his equations were based on strapping a pair of warp engines to as Cadillac. hahhahahahhahahhaha