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Space-Time Boundary Inquiry

Randolpin
in Physics

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1 hour ago, Itoero said:

Why does a finite universe have no boundary? I don't mean an edge where you can fall of. :) 

According to evidence from WMAP, the universe is flat to within small error bars, but those error bars maybe hiding the fact that the "flatness" is just the arc of a tremendously larger circle and that the universe is "closed" and finite, but just like Earth, has no real boundary, or limitation to how far one could go.  

A torus shape could I imagine also be envisaged.                                                                                            I suppose the definition of boundary is important here.  

2 hours ago, Itoero said:

Why does a finite universe have no boundary? 

So the usual analogy is to go to two dimensions: consider the surface of a sphere; it has a finite area but no boundary. 

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