One of the theories among common people is that traveling faster than the speed of light will allow you to go back in time. I believe that not only is it physically impossible for anything to travel faster than the speed of light, but I argue that even if we could, it would not be going back in time! Take a look again at Dr. Hawking's fabulous light cones diagram.

Something that is also missing in this example is that if you were going backwards in time, what makes you think you can go forward again? So now there is this idea that you can switch between negative and positive speeds at any time, traveling negative or positive distances at will! I highly doubt this is possible, and I would like to hear someone tell me how to travel at a negative speed!
I think that theory is pretty much destroyed in my mind. However, there are many more interesting theories out there. One such theory is that of a wormhole, and wormholes are becoming a more popular theory. Wormholes connect two areas in space time in a shorter distance than three dimensions allow. Space time is said to be curved, and wormholes supposedly could connect two portions of spacetime as shown in this diagram.

Where are these wormholes? There are supposed to be microscopic wormholes that allow small particles of matter and antimatter to enter and leave our existence. This involves quantum mechanics, which is a very uncertain science. Experiments have shown particles to appear and disappear in a vacuum tube (that means no matter was inside, and no matter could get in or out through physical means!). Where do these particles come from? Scientists believe wormholes may be the answer, allowing particles to jump in and out of space and time. One key question. How come we do not do the same? Why don't wormholes appear in a person's brain and cause his memory cells to be whisked away to some other time period, resulting in the man forgetting where he left his house key? I suppose wormholes can only occur under certain conditions. One condition is thought to be in a black hole.
A black hole is a very complex system. Black holes will be covered more in depth in a later post, but for now, you only need to know the basics of a black hole. Black holes form when a star of a very large mass collapses on itself, creating a ton of gravitational force, forces so great, that even light cannot escape. This massive amount of gravity bends space time so much that it is said to create a singularity, or a point in which the laws of general relativity cannot mathematically explain the result. This is because according to relativity, the space time curvature would be infinite. Scientists believe this radical conclusion can be solved by entering wormholes. The problem with that is that the gravity would crush matter drastically, and you would have to travel faster than the speed of light to get through the wormhole.
Allow me to further explain why you cannot go faster than the speed of light. According to our current laws of physics (which I believe are very much correct) energy and mass are proportional. If you have two masses, one of 10 grams and one of 5 grams, the 10 gram mass will have more energy. Speed and mass are also related. The faster an object is traveling, the greater amount of mass an object has. Finally, speed and energy are related, because to move an object of any mass requires energy. As explained by Dr. Hawking, as an object picks up speed, it acquires more mass. As it picks up mass, the object needs more energy to increase its speed. As you get closer to the speed of light, the object needs more and more energy to speed it up because it is accumulating more and more mass. An object of any mass cannot reach the speed of light because an object would acquire an infinite amount of mass in the process, requiring an infinite amount of energy to make the object go faster. The only thing that can travel as fast as light is something with no mass, such as a particle of light (amazing!).
That, however, does provide evidence as to why wormholes only affect small particles! Because only a small particle of no mass can travel fast enough to go through a wormhole! However, this also shows that humans cannot physically travel time through a wormhole (sad face). Humans have mass, so that ends that! Also, a human would be absolutely destroyed in a black hole! The intense amount of gravity would rip a human being to shreds! Say goodbye to wormhole time travel (for humans, anyway).
A few final thoughts. If we could travel time, then how come we haven't seen any beings appear? Or, even more intriguing, are history professors of the future among us, learning what they can about us to tell their students in the future? Are they the aliens that we supposedly see? Are they what we interpret as ghosts? How come we aren't all destroyed? Most likely if we could travel time, someone would ruin it for everyone and destroy the world with nukes before humans even existed! Dr. Hawking makes a point that there could be multiple histories, and if you go back in time, you are creating another history. However, that would mean you live more than once, or if time travel occurred in the new histories, you would live infinitely many times! I find that ridiculous! Therefore, I believe time travel is impossible for certain for a human being, and even if microscopic particles could travel time, it would have very little effect on humans. That is my current stand. If you have any other time travel theories or protest my reasoning for any of the above mentioned theories, comment and I may or may not respond.