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Note that there are particles, like photons and gravitons, that only move at the speed of light. For "normal" objects , the following problems appear:

1) The mass will increase indefinitely - at the speed of light, an object would have an infinite mass.

2) Related to the previous point: it would require an infinite energy to take the object to the speed of light.

3) The addition of speeds doesn't work out. If - for example - a rocket moves at 2/3 of the speed of light (with respect to Earth), and it fires a bullet in the "forward" direction, at 2/3 of the speed of light (with respect to the rocket), then the speed of the bullet with respect to Earth would be less than the speed of light. It looks as if this makes it difficult to come up with a mechanism to make anything move as fast as, or faster than, the speed of light.

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