Is the Universe Flatter Than We Thought?

In summary, the paper "Geometrical Constraint on Curvature with BAO experiments" suggests that combining radial and angular diameter distances can improve constraints on the curvature of the universe. The measurements in the GR+Λ case suggest a value of σ(ΩK) \simeq0.0009, which is pretty flat. This approach does not rely on assumptions about the theory of structure formation or dark energy models. The consensus is that the universe is either flat, or very close to flat.
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This paper;http://arxiv.org/abs/1508.02469 ,Geometrical Constraint on Curvature with BAO experiments, suggests an improvement of curvature constraints on the geometry of the universe. On a purely geometric basis the authors' measurements suggest [tex] σ(ΩK) \simeq0.006 [/tex] The GR+Λ case yields a value of [tex] σ(ΩK) \simeq0.0009 [/tex] Pretty flat either way. The interesting thing about this approach is combining the radial and angular diameter distances allows them to constrain spatial curvature without employing much assumption about theory of structure formation other than the BAO scale such as galaxy bias nor any model of dark energy.
 
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So is the consensus that we are as flat as a pancake, flatter than a pancake, or a waffle?
 
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I was thinking crepe.
 

1. What are "New curvature constraints"?

"New curvature constraints" refer to a set of mathematical rules that are used to define the shape or curvature of a curve or surface in a 3D space. These constraints are typically used in computer graphics and animation, as well as in fields such as robotics and engineering.

2. How are "New curvature constraints" different from traditional curvature constraints?

The main difference between "New curvature constraints" and traditional curvature constraints is that the former are more flexible and versatile. They allow for more complex and varied shapes to be defined, whereas traditional curvature constraints are limited to simpler shapes such as circles and ellipses.

3. What is the purpose of using "New curvature constraints"?

The purpose of using "New curvature constraints" is to accurately and efficiently model and animate complex shapes and surfaces in a 3D space. These constraints allow for smoother and more natural-looking curves and surfaces, which can enhance the realism and believability of computer-generated images and animations.

4. Can "New curvature constraints" be applied to any type of curve or surface?

Yes, "New curvature constraints" can be applied to a wide range of curves and surfaces, including both 2D and 3D shapes. They can be used to define both smooth and sharp curves, as well as surfaces with complex geometries.

5. How are "New curvature constraints" calculated and implemented?

The exact calculations and implementations of "New curvature constraints" vary depending on the specific application and software being used. However, in general, they involve mathematical algorithms and equations that determine the curvature of a given curve or surface based on its control points and other parameters.

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