@Ibix as I'm unclear on how to proceed, I'm looking at another example which has a nice infinite map, that of the torus.greswd said:so from #20, I think the map of space should continue outwards indefinitely, but as mentioned, unclear how to proceed after inadvertently reproducing Schlegel diagrams.
A 3-sphere shape is a mathematical concept that describes a three-dimensional sphere with a constant positive curvature. It is often used to model the shape of the Universe's space, as it suggests a closed and finite space with no boundaries.
Currently, there is no conclusive evidence for a 3-sphere shape of the Universe's space. The shape of the Universe is still a subject of ongoing research and debate among scientists. Some theories and observations suggest a flat or open Universe, while others propose a closed and finite Universe.
If the Universe's space is indeed a 3-sphere, it would have important implications for our understanding of the Universe's expansion. A 3-sphere shape would suggest that the Universe is finite and has a finite volume, which could potentially affect the rate and direction of its expansion.
Yes, there are several alternative theories to the 3-sphere shape of the Universe's space. Some propose a flat or open Universe, while others suggest a more complex and multi-dimensional structure. These theories are still being studied and evaluated by scientists.
If the Universe's space is a 3-sphere, it would have significant implications for our understanding of the laws of physics. It could potentially challenge some of our current theories and require us to revise or expand our understanding of the fundamental principles that govern the Universe.