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Considering the fastest thing man has created, the Voyager probes, have not left the influence of the sun in 50 years, we don't have the capability. There's problems with time dilation and considering the generations it would take to get there, the issue of sentencing people to a life on a ship where they did not have a choice to be there.
The faster you go, the power required to go faster climbs exponentially. Once you reach the speed of light, your mass becomes infinite, volume becomes zero and power becomes infinite. Reaching 10% of the speed of light requires technology that only exists in science fiction.
We're going nowhere anytime soon. Perhaps never.
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