Idea version 1.0:
When my newton cap is on, it's a close approximation to reality but only as we whiz along in our snail-paced lives; however, as we pick up speed and compete in a world of the furious fast, the approximation becomes less and less, and when we go all out and shift into high gear, the newton hat helps us not one bit. It requires the wearer to put on einstein's hat. And, we can't go wrong with that, as it correctly portrays reality.
Yeah. You're looking at light in a Newtonian fashion.
Idea version 2:
Houston, we have a problem, for the faster we go, for some, we're picking up speed and climbing the percentage ladder to the speed of light, but for others, never shall we gain.
What happens is that as you get closer and closer to lightspeed you find your clocks slowing, your yardsticks shrinking and your mass increasing. These all balance out so your environment looks normal but they distort your measure of anything outside yourself.
(And, yes, there is no doubt this is true. We see it routinely in atom smashers where particles live longer than they should. We see it with the GPS system--the satellites are whizzing around in orbit rather than sitting on the ground. The error this would introduce if you used Newtonian math is considerably greater than the accuracy of even the plain vanilla civilian system. {The fact that they are in lower gravity than on the surface of the Earth also introduces an error in the opposite direction which also must be dealt with.})