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
probability theory and statistics, covariance is a measure of the joint variability of two random variables. The sign of the covariance, therefore, shows the tendency...
29 KB (4,754 words) - 01:56, 4 May 2025
revisited the concept of general covariance and discovered that the hole argument was flawed. When Einstein realized that general covariance was tenable, he quickly...
37 KB (4,514 words) - 16:08, 25 May 2025
constructed using tensors, general relativity exhibits general covariance: its laws—and further laws formulated within the general relativistic framework—take...
194 KB (22,691 words) - 19:30, 24 May 2025
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...
48 KB (6,822 words) - 10:30, 18 May 2025
the importance of general covariance for the development of general relativity, and took the position that the general covariance of his 1915 theory...
90 KB (10,452 words) - 19:35, 9 May 2025
mechanics — usually a one-loop diagram—that invalidates the general covariance of a theory of general relativity combined with some other fields.[citation needed]...
4 KB (576 words) - 20:36, 4 August 2024
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) - 00:21, 24 September 2024
together, and may refer to: Covariance matrix, a matrix of covariances between a number of variables Covariance or cross-covariance between two random variables...
2 KB (285 words) - 12:08, 16 November 2019
diagram — that implies that the classically valid general covariance and gauge symmetry of a theory of general relativity combined with gauge fields and fermionic...
2 KB (221 words) - 11:47, 21 July 2022
In physics, the principle of covariance emphasizes the formulation of physical laws using only those physical quantities the measurements of which the...
4 KB (468 words) - 23:06, 3 May 2025
doi:10.1093/bjps/37.2.232. Norton, John D (1993). "General covariance and the foundations of general relativity: eight decades of dispute" (PDF). Rep....
44 KB (5,476 words) - 10:59, 25 May 2025
symmetry (general covariance implies a conserved stress tensor; a "gravitational anomaly" represents a quantum breakdown of general covariance, and should...
12 KB (1,611 words) - 02:51, 14 May 2025
an effect in quantum mechanics that invalidates the general covariance of some theories of general relativity Konishi anomaly, the violation of the conservation...
6 KB (801 words) - 10:08, 7 April 2025
(instead of infinitely many of them). In fact, the principle of general covariance in general relativity implies that global evolution per se does not exist;...
11 KB (1,632 words) - 03:35, 26 May 2025
'general covariance' was used in the early formulation of general relativity, but the principle is now often referred to as 'diffeomorphism covariance'...
42 KB (7,044 words) - 06:10, 20 January 2025
the covariance of two variables and the product of their standard deviations; thus, it is essentially a normalized measurement of the covariance, such...
58 KB (8,398 words) - 22:46, 30 May 2025
and statistics, a covariance matrix (also known as auto-covariance matrix, dispersion matrix, variance matrix, or variance–covariance matrix) is a square...
37 KB (5,799 words) - 21:03, 14 April 2025
a given topology. Causal dynamical triangulation Coordinate-free General covariance Quantum field theory Rickles, Dean (2008). "Who's Afraid of Background...
9 KB (1,183 words) - 16:09, 26 October 2024
equation in manifestly covariant form is useful because it guarantees general covariance upon quick inspection. If an equation is manifestly covariant, and...
3 KB (381 words) - 17:58, 2 September 2023
Special relativity (section Special relativity for a general audience (no mathematical knowledge required))
ISBN 978-0-321-49575-4. E. J. Post (1962). Formal Structure of Electromagnetics: General Covariance and Electromagnetics. Dover Publications Inc. ISBN 978-0-486-65427-0...
186 KB (25,022 words) - 00:07, 28 May 2025
quantity Covariance group General covariance Eigenvalues and eigenvectors Invariants of tensors Killing form Physical constant Principle of covariance Poincaré...
5 KB (676 words) - 01:00, 24 April 2025
" Regardless of Gaussianity, however, if the process and measurement covariances are known, then the Kalman filter is the best possible linear estimator...
126 KB (20,325 words) - 05:36, 30 May 2025
Analysis of covariance (ANCOVA) is a general linear model that blends ANOVA and regression. ANCOVA evaluates whether the means of a dependent variable...
12 KB (1,727 words) - 10:42, 24 May 2025
Symmetry (physics) (section General readers)
Charge Coordinate-free Covariance and contravariance Fictitious force Galilean invariance Principle of covariance General covariance Harmonic coordinate...
27 KB (3,283 words) - 17:51, 11 March 2025
method should return a more specific type (return type covariance) and accept a more general argument (parameter type contravariance). In UML notation...
53 KB (6,679 words) - 02:52, 28 May 2025
invariance, but general covariance makes translation invariance into something of a gauge symmetry. The energy and momentum derived within general relativity...
227 KB (22,917 words) - 03:50, 30 May 2025
p. 64. ISBN 0-521-45261-9. John D. Norton (1993). General covariance and the foundations of general relativity: eight decades of dispute, Rep. Prog. Phys...
30 KB (3,465 words) - 19:51, 19 October 2024
In statistics, the Matérn covariance, also called the Matérn kernel, is a covariance function used in spatial statistics, geostatistics, machine learning...
7 KB (1,347 words) - 21:45, 20 April 2025
referred to as general covariance, and equations with this property are referred to as written in the covariant form. General covariance is a special case...
31 KB (4,360 words) - 20:45, 7 May 2025