Just so that you guys don't break your time machines and get trapped forever in the vortex, I'd like to point out that there was is no year 0 in the Gregorian calendar (that we use) or the Julian calendar that preceded it. It goes from 1BC to 1AD, because dates are not equivalent to the mathematical number line.
There is a year 0 in the Buddhist and Hindu calendars, but good luck finding a Roman Empire then.
I would use a time machine to observe the natural world as it existed throughout geological time. I am particularly interested in discovering species that left no trace in the fossil record, which would be the vast majority of them. Fun!
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