Is Our Universe Really Flat or is it Just Euclidean Jargon?

In summary, scientists use the term "flat" to describe higher dimensions, specifically a 3+1 space-time universe that is asymptotically euclidean. This means that the universe is a perfectly flat, rectilinear grid, where the interior angles of triangles add up to 180 degrees. This can be confusing because "flat" is a jargon term for "Euclidean" and does not refer to a two-dimensional universe. It may be helpful to add this clarification to the Cosmology FAQ.
  • #1
mtv22
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I read that most scientists believe that the Universe is either infinitely flat or pringle-shaped flat, and that doesn't make sense with me. I don't understand how our 3 dimensional world could be a part of a 2 dimensional universe.
 
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  • #2
Hi mtv22, welcome to physics forums!
That's not what is meant by 'flat'---they're using the term to describe higher dimensions (namely 3+1 space-time).

For the http://en.wikipedia.org/wiki/Shape_of_the_universe" flat means asymptotically euclidean. Instead of having intrinsic curvature, the universe would be a perfectly flat, rectilinear grid (like you use in Cartesian geometry), where the interior angles of triangles add to 180 degrees, etc etc.
 
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  • #3
A lot of people ask this, and it's confusing because it's not always made clear that the term "flat" is jargon for "Euclidean." Granted, they call it flat because it implies the absence of "curvature", but the term curvature itself is something that has a very specific definition. Either way, it does not mean two-dimensional! We should probably add something about this to the Cosmology FAQ.
 

1. How can we determine that the Universe is flat?

The flatness of the Universe can be determined through various measurements, such as the cosmic microwave background radiation, the large-scale distribution of galaxies, and the gravitational lensing effect. These measurements all point towards a flat geometry for the Universe.

2. What does it mean for the Universe to be flat?

A flat Universe means that the geometry of the Universe follows the rules of Euclidean geometry, where parallel lines never meet and the angles of a triangle add up to 180 degrees. This indicates that the Universe is infinite and has a constant curvature.

3. How does the flatness of the Universe relate to the Big Bang theory?

The flatness of the Universe is a prediction of the Big Bang theory. According to the theory, the Universe underwent a rapid period of expansion in its early stages, which resulted in a flat geometry. This prediction has been supported by various observations and measurements.

4. Are there any competing theories to explain the flatness of the Universe?

Currently, the Big Bang theory is the leading explanation for the flatness of the Universe. However, there are alternative theories, such as the Steady State theory, that propose a non-flat geometry for the Universe. However, these theories are not supported by as much evidence as the Big Bang theory.

5. What implications does a flat Universe have for the future of the cosmos?

If the Universe is truly flat, it suggests that it will continue to expand forever. This would mean that the Universe will eventually become a cold, dark, and empty place as all the stars and galaxies move further apart. However, there are still uncertainties and ongoing research about the exact fate of a flat Universe.

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