"It turns out that noncommutative geometry is a very good framework for theories of (modified) gravity coupled to matter. The main idea behind gravity and particle physics models based on noncommutative geometry is that "all forces become gravity" on an noncommutative space. In other words, it is only from the point of view of a slice of the geometry consisting of an ordinary spacetime manifold that we see a difference between gravity and the other forces, while from the point of view of the overall (noncommutative) geometry they are all seen together as gravity. As we will see, the main construction is not unlike the idea of "extra dimensions" many people are familiar with from string theory, except for the fact that the extra dimensions in these models are not only small, but also noncommutative, while the extended dimensions of spacetime maintain their commutative nature."