Matt I will need your help. What does it mean exactly that the location space of an object is bigger than the object? Does the brain store locations that may expand the location space of the object without features associated to them?
(video starts at 32:04)
A definition of a room is a set of locations that are connected together by movement (via path integration). Some of these locations have associated features and that defines how you know which room you are in but not all of them. You don’t have to have features at everything here you just have to have some.
Could this mean that the brain moves to locations where he senses no features and stores them as no-features@location pairs for path integration to work? If you think of the world being in your retina then every location has a feature but in a 3D grid cell projection this makes sense. If it does store no-features@locations that’s all the system above needs for a counting mechanism by association.