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**1. Homework Statement**

Show that if motion could occur at arbitrary speed, then time travel would be possible.

**2. Homework Equations**

**3. The Attempt at a Solution**

I'm not sure where to start of. I'm guessing that it has something to do with the light-cone and space-like vectors.

Also can anyone recommend a good book for a mathematical introduction to special relativity. I'm in my first year at college and my teacher is awful and I'm really starting to struggle with the subject.

Thanks for the help!

Ed