Is the Universe's Geometry Truly Irrational?

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SUMMARY

The discussion centers on the geometry of the universe, specifically its characterization as the surface area of an expanding 3-sphere. Participants explore the implications of this geometry, questioning whether it implies that all calculations related to the universe are inherently irrational and imprecise. The uncertainty principle and concepts like quantum foam are mentioned as relevant to understanding the nature of this irrationality, although they do not directly pertain to the universe's global geometry.

PREREQUISITES
  • Understanding of 3-dimensional geometry
  • Familiarity with the concept of a 3-sphere
  • Knowledge of the uncertainty principle in quantum mechanics
  • Basic concepts of quantum foam
NEXT STEPS
  • Research the properties of 3-spheres in geometry
  • Study the implications of the uncertainty principle in quantum mechanics
  • Explore the concept of quantum foam and its significance in cosmology
  • Investigate the relationship between geometry and physical theories of the universe
USEFUL FOR

Physicists, cosmologists, and anyone interested in the foundational concepts of the universe's geometry and its implications for precision in scientific calculations.

epkid08
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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?
 
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epkid08 said:
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! :smile:

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

google the uncertainty principle and quantum foam :smile:

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

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