In theoretical physics, general covariance, also known as diffeomorphism covariance or general invariance, consists of the invariance of the form of physical...
6 KB (657 words) - 00:01, 23 May 2024
Covariance in probability theory and statistics is a measure of the joint variability of two random variables. The sign of the covariance, therefore,...
29 KB (4,739 words) - 12:24, 22 July 2024
and statistics, a covariance matrix (also known as auto-covariance matrix, dispersion matrix, variance matrix, or variance–covariance matrix) is a square...
34 KB (5,418 words) - 23:44, 30 May 2024
constructed using tensors, general relativity exhibits general covariance: its laws—and further laws formulated within the general relativistic framework—take...
193 KB (22,603 words) - 18:25, 23 August 2024
revisited the concept of general covariance and discovered that the hole argument was flawed. When Einstein realized that general covariance was tenable, he quickly...
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the importance of general covariance for the development of general relativity, and took the position that the general covariance of his 1915 theory...
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mechanics — usually a one-loop diagram—that invalidates the general covariance of a theory of general relativity combined with some other fields.[citation needed]...
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through space". Lorentz covariance, a related concept, is a property of the underlying spacetime manifold. Lorentz covariance has two distinct, but closely...
21 KB (2,917 words) - 07:22, 22 June 2024
Gauge symmetries can be viewed as analogues of the principle of general covariance of general relativity in which the coordinate system can be chosen freely...
47 KB (6,757 words) - 00:00, 10 April 2024
In physics, the principle of covariance emphasizes the formulation of physical laws using only those physical quantities the measurements of which the...
4 KB (471 words) - 01:47, 13 March 2024