Thing is, you're not going to be able to explain any of it to an eight year old. It's just too complicated and requires horrific maths. Plus, of course, an awful lot of it isn't real science anyway. Temporal physics is, AFAIK, only a branch of physics in science fiction.
If I was doing this, I'd start with "string theory postulates that...", have him notice the kid looking shifty / bored / confused, and instead say "never mind any of that. Santa can go to places we can't get to and jump about in time."
Madeline L'Engle managed it pretty well with a Wrinkle in Time. (Managed to describe the fifth dimension) which seemed a whole lot more complex than what I'm trying to accomplish. I figure it can be done.... just needs to be broken down.
I'm confused where the string theory bit comes into it. String theory is a subatomic theory that describes the the relationship between hitherto unrelated elements (e.g. gravity and electromagnetism). The multi-dimensional part is introduced because it is a solution to a series of complex mathematical equations. There is no unique answer and the number of dimensions is introduced to provide a better fit. It has nothing to do with time travel, unless you are talking about cosmic strings. These are hypothetical strands that run through the universe. I think the theory goes that they are so dense they could distort gravity and, thus, time.
I have never seen Sliders, so can't comment on the scientific robustness of the explanations it provides. I'm afraid a Western Framework means nothing to me either.
I think if you want suggestions on how to explain it to an 8-year-old, then you need to explain it to us first (I am a physicist, by the way). As for teleportation, is that any more unfeasible than an inter-dimensional time machine?
Quantum mechanics has been playing with teleportation and has gotten a little success (preliminary). But the downside of it is that you have to pretty much recombine atoms at the new location. So that means tracing Santa would be a pain in the butt if I went with that. (He'd literally be in two places at one time.)
String theory postulated a multiverse AND a means to travel through the multiverse, where each "verse" is a dimension of sorts. (or so the program says.)
If you've ever seen Star Trek chess, the pieces can jump up a level on the chess board and down a level as well (but at a different spot, if IIRC).
http://en.wikipedia.org/wiki/Three-dimensional_chess
If the atoms of Santa are by definition in one space, i.e. say, we are verse 2, and he jumps to verse 3, then he could by string theory also end up in another physical space when he jumps from verse 3 back to 2, without having to use any real time. The problem I'm trying to get around is time--time is a BIG HUGE factor of why Santa can't exist. If he removed himself from physical space of our verse, it makes it a bit easier on him.
Add to that a time machine, and it makes it easier on poor Santa, so while Jane in England is getting presents so if Suzuki Hiroshi in Kanto.
Maybe I should just link up the string theory program I watched...
http://www.pbs.org/wgbh/nova/physics/elegant-universe.html
As for the Western theory of time travel v. the Eastern. I've geeked out on theories of time travel. (though more like hypotheses).
Western version postulates a singular timeline. You cannot break or bend this timeline--it's fixed. In fact if you try to break this timeline, you'll create a paradox and cease to exist. (Such as killing your own grandfather.) The other more fatalistic version of this Western version of the timeline is that no matter what you cannot break it which eliminates the butterfly effect from the picture. Major events are set and you can't change it. (See Diana Gabaldon).
The Eastern version, which you can view in Japanese anime, Japanese dramas, Korean dramas, and some Chinese Mainland dramas has a different view of the timeline. They postulate a more tree version of the timeline.
Say you are traveling the tree trunk of a tree. You have the main trunk and you are following, when you get to a branch, that branch represents a choice. but you opt for the trunk. At every juncture you make a decision, an alt-dimension opens up. So you may only see the tree trunk, but every decision you make makes another alternate dimension.
This is why movies like Il Mare work (Korean movie). Because the theory of time travel works along this timeline. In effect also, you can't create paradoxes. You just keep creating branches. So you could go back in time and kill your grandfather as many times as you want, but that's simply another branch of the tree where your grandfather was killed. So when you get back, you still are alive because you exist in the timeline choice where your grandfather met your grandmother and you eventually were born. Also doesn't eliminate the butterfly effect. (Tarot cards, for the record, also use this timeline theory too.)
However, the Eastern version of the timeline theory doesn't work very neatly with Santa hopping around. His machine would have to figure out in addition to the dimensions which one is the real timeline he's supposed to be in. It's just easier if I go with the fatalistic one line with paradoxes and clean up the paradoxes by never having them.