As you speed up, you experience time differently. The speed of causality, or the the speed light travels is when that object is no longer experiencing time. If you were moving at the speed of light, you would arrive at your destination instantly. You can’t go any faster because you arrived instantly. The so called limit is how a stationary observer sees it traveling.
There is a concept called spacetime. We all move through spacetime at the “speed of light”. But the faster you move through space, the slower you move through time. So at the limit of speed, your time is 0. You would need to be going backwards through the time period to offset the space portion. This is not likely possible.
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