(November 25, 2022 at 10:21 am)LinuxGal Wrote:(November 25, 2022 at 10:06 am)Jehanne Wrote: As I have pointed out (and, any of our resident academics, feel free to disagree), we must, at the very least, live in a 5-dimensional Universe, three spatial, one time, with the 5th dimension being a hyper spherical or saddle type geometry where our Universe is expanding without a unique spatial center. No one can directly visualize this geometry, as we are trapped in our 3-dimensional World. This implies the existence of "new physics", which means that the God of the Gaps arguments are pointless.
Spacial dimensions have a continuous bidirectional structure. The dimension of time has a light-cone structure with no-go regions outside of the cones. This wasn't taken into account by, for example, H.G. Wells in "The Time Machine", he simply spacialized time. A proposed fifth dimension would need to be accompanied by a precise foliation or not even the pre-print archive would accept your paper .
I don't think that mathematicians have problems describing such structures, only visualizing them directly, which is true of all of us. I know that Albert Einstein worked on a 5-dimensional TOE; a picture of him at a blackboard with some other mathematical physicists is out there somewhere.
