Euclidean and Affine Spaces: A Hidden Complementarity: Difference between revisions
Imported from text file |
Imported from text file |
||
| Line 17: | Line 17: | ||
[[Category:Scientific Paper|euclidean affine spaces hidden complementarity]] | [[Category:Scientific Paper|euclidean affine spaces hidden complementarity]] | ||
[[Category:Relativity]] | [[Category:Relativity|euclidean affine spaces hidden complementarity]] | ||
Latest revision as of 21:31, 1 January 2017
| Scientific Paper | |
|---|---|
| Title | Euclidean and Affine Spaces: A Hidden Complementarity |
| Author(s) | Michael H Brill |
| Keywords | metrics, line elements, space-time physics, general relativity, invariance, covariance, color science |
| Published | 2009 |
| Journal | Physics Essays |
| Volume | 22 |
| Number | 3 |
| No. of pages | 3 |
| Pages | 301-303 |
Abstract
A structure that can be interpreted as either affine or Euclidean is identified. That structure was invented to describe the manifold of colors, which has an undisputed affine symmetry (based on color matches) but a debated line element (based on color discrimination). The affine/Euclidean structure is reviewed here as a way to tune our notions of "invariance" and "covariance" in space-time physics. In particular, the structure displays a kind of manifest covariance that is rare in space-time physics, despite common invocations of the Principle of General Covariance in that field.