The Bluestar dimension is one of the many dimensions in the Infinite Ways. This dimension is home to BSC, Zeb, Kory and Aiden. Due to it's general proximity (in dimensional terms) to the Darkstar Dimension, Ben was able to connect the dimensions through the creation of dimensional rifts. Currently, a secret stable rift exists between the Borderlands and this world near Drake's house. In general, magic tends to be more limited in this dimension, leaving this world open to greater dangers from inter-dimensional threats.
Creatures in this world often have analogous pairs in the other dimensions- however- there are slight differences. For example, while dragons exist in both worlds, true Dragons are capable of taking personlike forms in the DS dimension. In the BS dimension, dragons are intelligent, but incapable of taking human form.