Time travel is real.

Let's start with the basics: you are traveling through time as you read this.  Yes, there are no gigantic dimensional shifts here, but you are traveling on a linear course from your percieved present to your perveived future (and ultimately your death). Bamn.

So the trick is, how do we speed this up or slow slow it down? What about reversing this process? Let's review some other facts on traveling through time: no matter how elaborate or small, we know that increased velocity speeds up time; the faster you travel (closer to the speed of light) the higher the rate at which time around you slows down.

 

Stars in the sky at night emitted the light you see thousands, millions, if not billions of years ago.  When you stare up into the night's sky, you are actually looking into the past.

If you lived on the equator (vs. living on one of Earth's poles), you would be traveling faster from the Earth's spin and with your extra velocity, would travel through time.  After 100 years, you would have traveled 3.8 miliseconds into the future compared to any friends you have living on a poll. (Mayhew).

 

In 1971, experimenters from the U.S. Naval Observatory undertook an experiment to test time dilation . They made airline flights around the world in both directions, each circuit taking about three days. They carried with them four cesium beam atomic clocks. When they returned and compared their clocks with the clock of the Observatory in Washington, D.C., they had gained about 0.15 microseconds compared to the ground based clock.

 
  Eastward Journey     Westward Journey
Predicted             -40 +/- 23 ns            + 275 +/- 21 ns
Measured             -59 +/- 10 ns           + 273 +/- 7 ns

What we have here is a time difference of about a billionth of a second.  Why so small?  While these planes were traveling fast (up to 600mph), it is no competition for the speed of light.

There are over 30 GPS satellites orbiting Earth. Their internal clocks, while top of the line and completely accurate, need to be re-calculated every day because they become off-sync with Earth's clock by a few billionths of a second. The problem? Time Travel.

Brian Cox, professor of particle physics at Manchester University has sent particles through time. “We can already see how time slows down for objects travelling at high speed by looking at what happens in particle accelerators. When we accelerate tiny particles to 99.99% of the speed of light in the Large Hadron Collider at Cern in Geneva, the time they experience passes at one seven-thousandth of the rate it does for us." (times)

Of course what we have here is simple time dilation and not a mastery of acceleration through space. Once we master time travel (beyond mere seconds, that is) we will have bigger problems to deal with: engineering and management.  How do we administer time travelers?  Sure the tourism industry would find a new market of consumers.  Would this be something we could regulate?  If you've read or seen a few books/movies relating to time travel, you know of all the indifferent theories about time travel.  What if a time traveler could never return to the 'present?' What if the slightest changes in history would alter the world in ways unimaginable? How or even what would be regulated?