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Encyclopedia > Flat space

The intuitive idea of flatness is important in several fields.

Contents

Flatness in mathematics

The flatness of a surface is the degree to which it approximates a mathematical plane. The term is generalized for higher-dimensional manifolds to describe the degree to which they approximate the Euclidean space of the same dimensionality. See curvature.


Flatness in cosmology

In cosmology, the concept of "curvature of space" is considered. A space without curvature is called a "flat space" or Euclidean space.


A question often asked is "is the Universe flat"? According to the Theory of Relativity, it probably is curved and warped due to gravity.


See also:

External links


Flatness in mechanical engineering

Joseph Whitworth invented the first practical method of making and polishing accurate flat surfaces in 1830. This used engineer's blue and polishing techniques using three trial surfaces. This led to an explosion of development of precision instruments using his flat surfaces as a basis for further construction of precise shapes.


References:

  • Wayne R. Moore, Foundations of Mechanical Accuracy, Moore Special Tool Company, Bridgeport, CT (1970)

External links

  • A New Scientist article on Whitworth's method (http://journals.iranscience.net:800/www.newscientist.com/www.newscientist.com/lastword/article.jsp@id=lw801)

  Results from FactBites:
 
Minkowski space - Wikipedia, the free encyclopedia (1122 words)
In this setting the three ordinary dimensions of space are combined with a single dimension of time to form a four-dimensional manifold for representing a spacetime.
There is an alternative definition of Minkowski space as an affine space which views Minkowski space as a homogeneous space of the Poincaré group with the Lorentz group as the stabilizer.
Minkowski space is named for the German mathematician Hermann Minkowski, who around 1907 realized that the theory of special relativity (previously developed by Einstein) could be elegantly described using a four-dimensional spacetime, which combines the dimension of time with the three dimensions of space.
Causality, Measurement and Space (5250 words)
Space is often supposed to be a sort of box in which existence is placed, or a sort of insubstantial stage on which the drama of reality unfolds.
Space is a grid of reference lines which we imagine to be constructed according to geometrical method.
Space is not a cause because space is not an entity.
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