Physical experimental data says 3 spacial dimensions and 1 time dimension. There are folks exploring math ideas about higher dimension universes. There is currently no experimental data to back any of them up.
I think Paul Davies was actually begging the question. If there is order, then it can be mathematically described. But due to the randomness of nature, you can't always say that something exists here and now.
Netme: "So we exist within a 4 dimension+ universe? How can this be if we can only function viewing the universe in 3d. Wouldnt functioning be impossible?"
I function quite nicely viewing the universe in 4 dimensions. While my ability to interact is limited to the present, and to a limited extent, the future; I can view the entire past that intersects with my 4 dimensional personal space within the space-time continuum. It's called memory.
Referring back to meteor's comment, a particle would not be able to "leap" to another dimension if it exists in all dimensions simultaneously. Which would also pose a problem with Heim Theory conjecture that an object could phase into a higher dimension to travel faster than light. I'm not sure of the math, but I think what it would look like on paper is a drop in all 3 physical dimensions to zero, becoming a "dimensionless" point; but to balance the equation, the other, "non-physical" dimensions would have to change. Can a dimensionless point move within our space-time continuum at faster than light speeds? I suppose it could if it has zero mass. But if an object's dimensions approached zero, it's density would approach infinity. At some point, it would become a black hole, with an event horizon. Can a black hole shrink in size? And can an event horizon move at FLT speeds?
there has to be some kind of "friction point" where 'stuff' from other dimensions interact with our 3 dimesional Observable Universe. If there is no "friction point" then why do we care about these mathematical creations called dimensions? They don't have an effect on us. If they do have an effect on us...where is that "friction point". A simple example to me would be showing me how the 4th dimension called time actually interfaces with my 3D world. I see the results of "time" but never observe it itself. That makes it very easy to say that dimensions are imaginary, vaguely useful, and easily ignored. Trodding down the multi-dimensional path could lead to madness....lol.