According to Michio Kaku, in his book Hyperspace, he said that in this Hyperspace, there exist a total of 10 dimensions that govern the laws of physics. Is it possible that we too live in a Hyperspace, and if so, would gravity be the 4th dimension that would govern the laws of physics we are yet to discover?
Gravity is a force it is not a dimension.
If these models of quantum gravity is correct then we do live in these 10 dimension. If these models are correct then we do live in "hyperspace", but only 3 dimensions are macroscopic.
Dimensions don't govern the laws of physics.