If there is a matrix of spatial points in which tiny particles appear and disappear then there can be an exact kind of geometry at the very small level. I am not that familiar with planc. For me the level of smallness that I am talking about could be far smaller than the planc length and involve "particles" perhaps still unknown to modern science.

My other idea is connected with gravity. You may well be able to laugh this straight out of court but the idea has always struck me as interesting. I imagine some kind of "ether", continually flowing down to this level of reality from higher frequency levels. This is converted into atomic "motion" by atoms and so there are areas of low ether pressure around every atom.

Thought experiment: Imagine 2 shower heads immersed in water. They are connected to pumps that are sucking up water through the shower heads. Because of this would there not be an area of low pressure between the 2 heads?

They would come together mimicking the effects of gravity.

September 2008 Update: I received this interesting contribution from GS: