Originally posted by Zero Mass
I am not talking about Michael J. Fox flux-capictator type time travel.
In that case, there is nothing special about time travel, and it happens all the time. I am traveling through time right now. Every second that goes by, I have traveled one second through time. This is different for different observers, and that is the reason for the interest, I think. But, for special relativity anyway, there is only provision for traveling into the future, in the sense that, your proper time can never have an oposite sign to the coordinate time in any reference frame.
Originally posted by Zero Mass
Einsteins theory of relativity touches on how both light and time can be bent due to a extreme force like gravity.
This is a bit vague. What do you mean by "light and time can be bent?" I'm assuming that you mean space-time can be bent, and that, as a result, the path that light takes appears, to us, to bend. As far as time being bent all by itself, I don't think that is what Einstein meant, and I don't think that it even makes sense to say.
The only force that we know to exhibit this bending effect, Einstein declared was not actually a force. That is one of the things that general relativity gives us. Gravity is the curvature of space-time; the gravitational field is the measure of that curvature, and the mass-energy tensor is responsible for the curvature (it is the source of gravity). Gravity is not an extreme force; it is the weakest "force" (as far as its effect on matter compared to the effect of the other forces). The gravitational force IS longrange, if that's what you mean, but not comparatively strong. Also, the existence of any arbitrarily small amount of gravity, by definition, will curve spacetime, so "extreme" should be sticken from the requirement.
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(I guess extreme could also mean extremely small. I'm sorry if that's what you meant.)
Originally posted by Zero Mass
I was just wondering that if the fourth dimension can be relative, then can it be tampered with in any way?
The fourth dimension is not relative, only what we attribute to it. Of course, it is widely accepted that the attribution can be "tampered with." That is precisely what happens in relativity that makes it different than Newtonian mechanics.
Originally posted by Zero Mass
The example about the sun I wrote of is how Einstein, among many scientists, have noticed that the images of stars right behind the sun are actually bent light images from stars in other positions.
Other positions? Is there some conflict? How would you define "position?" There is a meaningful definition that position is determined by the angle that rays of light from the stars make to each other at the position. This is called astrogator's coordinates. The contradiction to which you refer is probably the previous notion that light travels in straight lines through space vs. the notion that the world line of a light ray is a geodesic.
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(...which is to say: a curve of relative minimum proper length in space-time)
Originally posted by Zero Mass
The same kind of effect applies to space-time.
It is not the same KIND of effect; it is the SAME effect. Your first wording was inaccurate. Light always follows a geodesic, it does not bend in space-time. Space-time bends, so the topology (the connectivity of events by means of light) seems to manifest in the curvature of the light rays.
Originally posted by Zero Mass
...if there is an infinitely massive object (a black hole) then wouldn't it be possible to have a tear in space-time that could possibly completely alter what we consider linear time?
A black hole is NOT infinitely massive; some would say that the matter inside the black hole is infinitely DENSE. It is well known that a black hole is a tear in space-time, in the sense that space-time does not exist "inside" a black hole (especially not at the singularity, but, to an outside observer, there is some boundary beyond which the observable universe ends). What concept of linear time? What do you mean by linear?