Is out there any strong theory that supports the idea of Time Traveling?

Is out there any strong theory that supports the idea of Time Traveling?

I'm obsessed with the idea of Time Travels are possible, but I don't know if this is anything worth of my time or if I should give up with the subject.

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GR doesn't disallow it, but we can't achieve it yet. Though, there's an interesting thought experiment involving an alien on a bicycle observing earth.

Please, tell me more about that experiment. Also, how GR doesn't disallow it? I thought it was the total opposite.

GR doesn't disallow it because it says that all space and time exists all at once, and it is your movement relative to what you are observing that causes time to flow one way. Here's how this works: Let's imagine an alien observing earth from lightyears away. It is not moving. When it is still, we share the same "now moment". But, let's say he gets on his bicycle and starts heading towards earth. The closer he gets, and the faster he moves, the more into the future the earth will appear to him. If he moves further away, it seems to be further in the past. This helps to also explain the fact that we see stars as they were long ago, relative to their distance. It's a poor explanation, I know. But that's the gist.

That's why if you travel close to the speed of light, time nearly stops. Also why a photon does not experience time on its own. Only an observer can perceive of the time it takes for a photon to reach its destination. if you are the photon, as soon as you're emitted you reach your destination. And the whole universe comes and goes instantly.

Should I specialize in GR if I'm really interested in this topic? Or is it just a meme?

No memes here, I'm being serious. Study physics, GR included. I theorize the best way to time travel is to exploit this little relativity effect by moving relative to the target in order to achieve the desired "now moment", then generate a wormhole to the target so you wouldn't have to cross space-time to get there thus preserving your shared now moment.

That sound good to me, any other subject that talks about the topic? I've never been very attracted to GR in the first place, but now you've catched my attention

GR doesn't disallow it but we know GR is incomplete. Quantum gravity will certainly forbid time travel, since "arrow of time" seems to be baked into the physics of our universe.

Not that I can think of off the top of my head but it's late and I've had far too much coffee this week. But I think that if you look into physics, GR, and gain a better grasp of the mechanics of the universe, you'll have a better shot at understanding what you'd like to understand.