PrimoThePro said:
Interesting you should say specifically that time travel would require the power of our sun, while you are wrong, all indications are it would take for more than that for "active" timetravel, optimistic estimates say we will have harnessed the power of stable fusion, EI the power of our sun, buy the end of the decade. More realistic estimates say 20-30 years, but general agreement is that by the end of this century the knowledge of stable fusion will be ours.
Now, I say "active" time travel because we already preform time-travel. Every time someone got on concord their watches would be a few nano seconds behind due to the time dilation effect that occur on moving objects. Granted this time loss in negligible, but with the use of ion engines (yes we have those) it is feasible that would could propel a ship to a significantly fast enough in relation to light, to cause noticeable time dilation to those on the ship. Currently it IS possible for us to propel a ship at a planet 12 light-years away and have it arrive before the crew die of old age. In fact would could do it in about 16 years est. Problem is that is 16 years for those on the ship. Everyone they knew by the time they arrived would be dead if they were not on the ship with them.
On theory which I dont remember well involves shooting antimatter particals (yes we have this too)backwards in a set configuration which have been associated with each other using a weird component of string theory. The interesting part about this theory is that you could only travel back to the occurrence of the first set of fired particals. Which would explain the lack of timetravelers as we have yet to develop this technology.
The theory for alternate dimensions (not alternate realities, thats something quite different) is fairly strong if very circumstantial. One such bit of evidence is light. I dont know how much physics you know, but light is very strange. In some instances it acts as a partical, in other it acts as a wave. This currently cannot be explain in any empirical data, however light makes sense in string theory if light is actually ripples in a higher dimension. In the same way a fish can see the ripples in a pond when you throw a stone in, but not the stone, this is how we may be seeing light.
Basically all the evidence we have for "proof" of other dimensions is theoretical based on really funky stuff we can do with string theory.