Thanks for your comment, Griffin.

String theory suggests 10 dimensions and supergravity suggests an 11th.  Each with it's own membrane,  or brane,  and P-branes.

Actually, M-theory and P-theory both suggest multiple dimensions but neither goes far enough into compact matter.  "Intersecting branes" answers SOME dilemmas, but sadly, it raises more.  It is a very exciting time to get into physics.

One dilemma is that we need to revise fundamental laws now and then: observations can be faulty as seen with the Voyager sapcecraft.  Either I am correct (space has a nonzero mass) or the Pioneer spacecraft have fuel leaks -- that are so close as to be negligible! 

As these birds fly faster, they reach a significant percentage of C.  Miracle of miracles, they accrete mass (converting kinetic energy to matter, a particle or two at a time).  Smack into enough W+/- bosons along the way, and something will interact, adding mass where if space had zero mass, the spacecraft would have a known trajectory.

Let's hope Compton and Einstein were correct.  If not, expect a lot of gray hair to litter the floor, because I can see a whole bunch of sexigenerian physics nerds ripping it out because they have to retract papers that it took them years to write.

http://en.wikipedia.org/wiki/Pioneer_anomaly