Paradox If we accelerate an object (such as a proton) to closer and closer to the speed of light it will gain relativistic mass until eventually it gains so much (approaching the Planck Temperature) that it may turn into a Planck Scale black hole. My problem with this is that the proton knows nothing about its relativistic mass increase in its frame of reference, so how can it turn into a black hole?
This is inspired by the paradox of two objects accelerating at exactly the same rate to relativistic velocities whilst connected by a string. The string breaks apparently, although I don't understand why.
