The energy required to go faster approaches infinity as you approach the speed of light, so no conceivable method of accelerating a spacecraft to that speed is going to work. My hope is that some trick can be found to move across vast distances by another means, like wormholes or something we can’t even imagine today.
That is highly unlikely I am afraid. But maybe we can one day discover how to bend space so that we can just “jump” from one point to the other one. Gravity for example bends space – that is one way how we can discover distant stars because of their gravitational effect on its surroundings.
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