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[–] venuspcs [S] ago 

"It would also have to be able to change their spatial coordinates to match those of the Earth's, or else they would just die alone to the vacuum of space." What if, like some now believe, that all points in time/space are connected? You wouldn't have to account for Space to travel through time if your destination was the same as it was when you departed. It would also mean that by changing your spacial coordinates you could not only travel through time but space simultaneously (which would mean you traveled faster than light) and thus you could end up in a different time and on a different world.

"It would also have to work with a somewhat reasonable power source, or else it would either never be able to start up at all or send people on a one-way trip." So something like the Watch in "Sliders" or the Tardus on "Doctor Who"?

Your comments about not being able to "change" certain things may be completely incorrect. Postulate this: I invent a time machine, now, in the year 2015. I immediately travel back in time to 1971 and kill my mother the week before she gets pregnant. I would never exist, which means I never invented the time machine and traveled back in time and killed her. I now never exist, but if my mom wound up getting pregnant as she initially would have a week later. I would have been born, invented a time machine 43 years later and traveled back in time and killed her.....now imagine that I did in fact travel back and kill her, yes I would cease to exist (as I would have never been born) but she would also cease to exist (from the time I killed her, forward in time). So yes it may actually be possible to change your future by traveling back in time. Additionally, if I was able to go back and kill her, all evidence of me ever inventing time travel (and using it) would be erased from existence as well which may very well be why we have no proof that anyone has ever time traveled. The same goes for all your other theories on "changing anything". Anything you change would most likely erase you from existence and erase any evidence you ever time traveled, or that time travel was ever invented.

Now traveling into the future is a little more straight forward.....at least until you return to your time.....If you travel into the future from 2015 to 2115 and do anything it will not affect the past, yours or anyone's.....or will it? If however, you travel to 2115 and bring back anything (disease, technology, etc) to 2015 it would change the past for everyone that lives between 2015 and 2115 as well as anyone who exists after 2115. Which means that those alive in 2115 would never know that time travel existed either....there whole reality would change and they would never been any the wiser. Now let's assume that time isn't linear but that all points in time exist in the same space....if that is correct, as many now theorize, anything in you change in the future would also affect your past....most likely to the point that you cease to exist, thereby erasing any trace (in any time) that you ever time traveled.

Sadly I have next to no knowledge of the "Many Worlds Theory"....which I should probably read up on. But in my opinion if there are thousands or even millions of other dimensions and time travel is nothing more than a doorway to an alternate dimension (at a different point in time) you wouldn't be creating a paradox or even an alternate time line (as they already existed) you would simply be jumping from one dimension to another. However, the chance of ever returning to your dimension at the exact time you left would be, well, IMPOSSIBLE or at least highly unlikely and even if you did manage to jump back you would never really know that it was in fact the Dimension you came from as there would likely be tens of thousands of IDENTICAL dimensions to yours that are only milliseconds apart in time.