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Light travels more slowly in a medium, including being completely stopped.
The speed of light is really infinity.
At the speed of light, you are moving infinitely fast, and you are already there.
Moving faster than that is literally meaningless. You get infinities and imaginary numbers out of the equations.
…. with the physics we currently have and expect to see in the foreseeable future (i.e. without a radical and unexpected change), even that is impossible.
Time dilation becomes infinite and time stops for the object travelling at c.
If this was a physicality and not just a perception then the whole universe would be compressed into a singularity.
Of course this is not a physical reality.
For an object starting 'at infinity' and falling freely towards a black hole....