Is the Universe's Geometry Truly Irrational?

[epkid08]

The shape of the universe, in our three dimensions, is said to be the surface area of an expanding 3-sphere, right? Wouldn't this mean that all space, and furthermore everything in the universe, is truly irrational, meaning that no amount of calculations pertaining to anything will ever 100% accurate? Has this irrationality ever been studied?

 

[tiny-tim]

geometry

The shape of the universe, in our three dimensions, is said to be the surface area of an expanding 3-sphere, right?

Well, it's said to have the same geometry as one (on some views).

Wouldn't this mean that all space, and furthermore everything in the universe, is truly irrational, meaning that no amount of calculations pertaining to anything will ever 100% accurate? Has this irrationality ever been studied?

Hi epkid08!

If by "irrational" you mean "fuzzy", then yes …

google the uncertainty principle and quantum foam

(but that has nothing to do with the global geometry)