Reaching Light Speed Theoretically Impossible for Humans, But Would Cause Time Dilation
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Assuming a human could move at the speed of light, the biggest issue would be surviving the acceleration forces needed to reach that speed.
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At light speed, your mass would become infinitely large, requiring infinite energy to maintain that speed. So reaching light speed is theoretically impossible.
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Particle accelerators can accelerate subatomic particles to over 99.9% the speed of light speed, but accelerating a human to that speed is extremely unlikely.
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If you could move at near light speed, you would experience time dilation - time would move more slowly for you than for stationary observers.
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It's possible we are already moving at near light speed relative to distant galaxies, due to the motion of Earth, our solar system and our galaxy.