Before I begin I just want to say that I'm not sure this is in the right section, and I'm sorry if I posted this in the wrong place. What follows is just my own speculation, others may have thought of this before me, so I am not going to claim this is purely my idea.
Imagin two sheets of paper, parallel to one another. Each one representing a different universe, and each one floating in a perfect 0g environment. Suppose that we put some mass on the paper (assume the papers don't gravitationally attract to each other but that the mass on the papers can never fall off the paper). The mass on the paper would gravititationaly attract to itself, but the mass on the other paper would also move the mass on the paper closer to where it is. From an observer on one paper, mass would just be affected by gravity of masses that are not there. Now suppose those papers are three dimentional, and are floating in a (at least) four dimentional space. This sounds a lot like what's happening from effects we call "dark matter" doesn't it?
We know that dark matter can not be interacted with in any known way besides gravity. This fits the model described above. The mass from the other dimention could not interact in any way, but the gravitational effects could still affect one another so long as they both occupy some space with more then three dimensions. Again, this is just speculation, but the model sure seems to fit. I posted it hoping for other ideas on it, all criticism is welcomed, as is all ideas. Thank you in advance for posting your thoughts on the matter (no pun intended).