by wendy » Mon Feb 21, 2005 5:08 am
Four dimensions is hardly material for "science" because the thing makes no call down to a testable "reality". That is, you can't make a proposition about the way four-dimensions works, and go outside and test it, like you can chemicals or black holes or plate tectonics.
At best it is mathematics. One can play off geometry and mechanics. But these ultimately are axiom-based, and you must be careful you pick axioms that are relevant.
At worst, we might encounter all sorts of spiritualism and unknowns, rather like those folk who create imaginary continents to place their utopias at. Spirits and Gods, formerly frequenting the clouds, now have moved on to other dimensions.
Black holes are for example, not magically revealed in four dimensions or five or twenty-eight. A black hole is an abstraction in space, and is every much three-dimensional as we are. What we find hard, (especially those of us without metric graph-paper), is the heavy distortions of space needed to accomidate this feature.
Literature in 4D goes back well into the 1800's. But it's not an easy thing to grasp, and one has to keep one's wits about one.
There are plenty of good websites around that look at some aspects of four dimensions, like the six platonic polychora. But as for "science", there is no things for us to make meaningful predicitions: we have to calculate the result.
W