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here is an interesting link at mathworld that describes a hypersphere and the formula for determining the surface area of a sphere in higher dimensions. If you look at the graph, the maximum area is in 7th dimension and diverges to 0 for higher dimensions.
Although some people speculate the universe might have infinite dimensions, could this be proof that an infinite dimensional universe may not exist.
http://mathworld.wolfram.com/Hypersphere.html
Although some people speculate the universe might have infinite dimensions, could this be proof that an infinite dimensional universe may not exist.
http://mathworld.wolfram.com/Hypersphere.html