I'm not sure what this means. c cannot be exceeded in any frame of reference. Your "local" velocity is always zero -- you always measure your own speed with res

I'm not sure what this means. c cannot be exceeded in any frame of reference. Your "local" velocity is always zero -- you always measure your own speed with respect to yourself to be zero. From your perspective, reaching the speed of light causes all distances in the direction of travel to become zero. Your clock functions correctly and time travels at the ordinary pace. From a stationary observer's perspective, distances are the same but your clock has stopped.