What I dont get here is that it is possible to draw parallel lines on the surface of a balloon? Do we have proof that there are not any possible ways to draw non parallel lines in 4d space time? In fact I believe that einstein wrote about worm holes which in theory could create non parallel lines.
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Originally Posted by Vanamonde
The problem with the hypersphere (as elegant as it is), is that over long distances, parallel lines would not remain parallel. The current evidence is the large scale structure of the universe is "flat" - that is to say parallel lines (in ALL directions) stay parallel. That is the evidence for the hypertorus over the hypersphere.
I do not pretend to understand the evidence. Superheroes who eat very scary math for breakfast have found it in the cosmic microwave background radiation. The very weird thang is that for this to be, means that the universe has just the right about of density of matter and energy to one part in sextillion!
Very, very strange and not what anyone expected.
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