- #1

gerald V

- 67

- 3

- TL;DR Summary
- Can it make sense to embed the universe in 8 flat dimensions?

It is mathematically proven that any intrinsically curved manifold can be derived from embedding in a flat space of sufficient number of dimensions. I heard somewhere, but lost that reference, that for our universe 10 flat dimensions are needed in the most general case.. May I ask

- Is the number 10 correct? If so, what about the metric signature of the embedding space (9+1, 8+2, 5+5, ...)?

- Is there literature on this topic (preferrably with not so much mathematical jargon)?

- If the embedding space only had 8 dimensions, what aspects of our universe would get lost? (as far as I know, for the special case of a homogeneous and isotropic universe, even 5 dimensions would be sufficient).Thank you very much in advance.

- Is the number 10 correct? If so, what about the metric signature of the embedding space (9+1, 8+2, 5+5, ...)?

- Is there literature on this topic (preferrably with not so much mathematical jargon)?

- If the embedding space only had 8 dimensions, what aspects of our universe would get lost? (as far as I know, for the special case of a homogeneous and isotropic universe, even 5 dimensions would be sufficient).Thank you very much in advance.