I’m not a physicist and I don’t play one on the internet, but I believe that we will never have time travel. My premise is simple: if it was invented 50, 250, 500, or even 5,000 years from now, there is no way that the first time we’d ever discover someone from the future was 2022. Surely if it will ever be invented a time traveller would travel to somewhere in the past before us, and we don’t have evidence of that… so at no time in the future will a time machine be invented.
The only possibility that I see for a time machine to work is that we live in a multiverse and if a person did go back in time then they wouldn’t change our history, they would create another new history splitting the history we know and creating a new one that they know… and so in this case while I’d be wrong, you and I will never know.
In the future, if we don’t blow ourselves up and send the world back into the Stone Age, we’ll get closer and closer to traveling the speed of light. A very long time from now humans will visit other planets beyond our solar system. Those travellers will experience time differently than anyone who stays on earth. But while they will age less, they won’t be going back in time.
Time travel like H. G. Wells wrote about will never exist. It’s a fun thing to think about, but the reality is that if it ever was to be invented, we’d already know about it… we wouldn’t have to wait for some time in the future to learn about it.