The multiverse theory really complements time travel. This is done by creating a situation where you can not encounter a paradox. The individual that is time traveling is just merely going to a separate time line where that event occurs. This way you can go back kill your grandfather and come away scot free. The multiverse theory is supported by quantum physicists, and is the best way for describing backwards time travel. While the theory of relativity still is the best example of forward time dilation. This theory makes it possible to do away with all the contradictions to time travel.
While I was looking for topics for the trivia game I was creating, I began to look for iconic members in time travel to put into the trivia game. I found on Flavorwire a list of individuals who immortalize the time travel genre and really helped me figure out how I was going to attack that artifact. While looking through this I found that there are a couple of individuals who really stand out and make a big impact on pop culture. Starting of with the most iconic person in pop culture today, the doctor from the show Doctor Who, This person iconalizes time travel, and time travel theory. This show has been on for 50 years, influencing pop culture and as a result is the biggest show on television. Along with Doc Brown, these two individuals help spread the time travel genre and without them this genre would be underappreciated. Because of this I put a whole category in my trivia game about pop culture.
In this book the main character Billy gets abducted by aliens, and shown the ways of time travel. Except this version of time travel is all inter dimensional, and can be done anywhere and anytime though time dilation. Interesting enough time dilation is a real phenomenon that can happen when you reach the speed of light or maintain high a velocity around black holes. This book gave a real life example on how to achieve instantaneous time travel. However, I doubt that Billy could achieve this by himself
In this short story Eckel when back in time to murder a T-rex. However, there was one tiny little problem, as he was leaving he stepped on a butterfly. This change in the earth's history caused a dictator to be elected as the president of the United States rather than a good peaceful man. This story reinforces that major events will still happen however, the potential outcomes could possibly be different. I.e. in the new time line the dictator was elected when in the first time line the good guy was victorious,
In this episode a man named Mr. Corigan was sent back in time to the day that president Lincoln was assassinated. After many futile attempts to stop the event from happening, Lincoln was still killed by John Wilkes Booth. However, when he went back to the present subtle things had changed like his butler was now a part of his club, this is due to one of the cops he told going around telling everyone about the event.
This gives us a middle ground for what can happen when you time travel. You can not change the major events that do occur, however, you can alter miner events to either ruin or improve upon your life down the road.