Dark matter can be completely accounted for by 4D (or more) spacial dimensions. The problem is that in a 4D universe our 3D world view objects would change shape and/or completely vanish just by moving, as this video demonstrates.

One way of explaining why this doesn't happen is to think of our universe as analagous to a planet - where a thin 3S shell or crust has formed on the cool outer surface of an energetic 4-sphere. As energy cools into mass the particles precipitate to the 3S surface and become bound to it by the strong nuclear force.

In such a 4D universe, a black hole is analagous to a sort of inverted volcano erupting matter back into the 4-sphere universe. Or perhaps a better analogy for a black hole might be a 4D tornado in space and time (time being a vector property of mass, not a dimension).

The King's table sits opposite the entrance in the palace's Great Hall, yet the monarch is absent in this strange country without a King...

Space is the dominant theme in this magnificent palace, and it has a lot of space for the lucky people who serve the sovereign of this island nation. ...

Perhaps the answer is blowing in the wind. ...

A little more on the 4D game engine Miegakure....

Available for IOS here ...

http://miegakure.com/

http://4dtoys.com/

One of the great palaces of the world is to be found on a remote, isolated, and exotic island country ....

Space, so much space, it's overwhelming. Harsh, almost desolate, perhaps a reflection of the stark natural beauty of the mysterious land the almost mythical palace occupies - the palace of the Kingdom without a King...

With its own 5 star restaurant,where could this strange palace be...?

Einstein pointed out that nothing can travel faster than the speed of light, however, this statement omits that the "speed" being measured here is by the (relatively) stationary observer. When measured by the person doing the travelling its a totally different scenario.

This video is a good explanation of why Einstein's statement is a little too conservative and misrepresents the theoretical possibility of time dilation allowing humans to reach distant solar systems within a human lifetime.

While the observed speed of light is never exceeded, nevertheless the dramatic slowing of causality at near light speed of the moving object enables travel at what may considered to be greater than light speed by the traveller once they reach their destination. Thus, I make a distinction between "observed speed" and "effective speed", where the "effective speed" (that experienced by the traveller) can indeed exceed the speed of light when the calculation is made of the rest distance over the travellers elapsed time.

The implication then is that there may not be a limit on the "effective speed" any object can travel, but merely that nothing can be "observed" to travel faster than the speed of light. Parallels can thus be made between the apparent (observed) and real (effective) speed of a spaceship and a Doppler effect involving causality that remains positive regardless of direction (because causality, like time, is a vector property of mass, not a dimension), but diminishes and increases with the speed of relative motion.

Calculate time dilation for yourself here --> http://www.emc2-explained.info/Dilation-Calc/#.WUfBt3lMS01