- #36
Dale
Mentor
- 35,582
- 13,899
All spaces have properties, so I don't know what would lead you to believe that having properties is antithetical to being a space.Adrian2000 said:Ok, and this is where the rubber hits the road - how can it have properties, 'information' and still be space?
Personally, I think that this is your key misconception. Spacetime is not nothing, it is a 4D pseudo Riemannian manifold. 4D pseudo Riemannian manifolds are topological spaces with a metric structure, and as such they have topological and geometrical properties. Any assumption that it should not have properties is simply a bad assumption which needs to be discarded.
There are many embedding theorems about how a curved manifold may be isometrically embedded into a higher-dimensional flat manifold. However, none of those are necessary (nor even useful) for describing physics. All of the physics can be described from within the curved 4D manifold without reference to any higher dimensional manifolds.Adrian2000 said:And then, if it does have said properties, in what 'space' does it exist in? A higher dimension of some sort? Multiverse?