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Lorentz_covariance abstract "In physics, Lorentz symmetry, named for Hendrik Lorentz, is "the feature of nature that says experimental results are independent of the orientation or the boost velocity of the laboratory through space". Lorentz covariance, a related concept, is a key property of spacetime following from the special theory of relativity. Lorentz covariance has two distinct, but closely related meanings: A physical quantity is said to be Lorentz covariant if it transforms under a given representation of the Lorentz group. According to the representation theory of the Lorentz group, these quantities are built out of scalars, four-vectors, four-tensors, and spinors. In particular, a scalar (e.g., the space-time interval) remains the same under Lorentz transformations and is said to be a "Lorentz invariant" (i.e., they transform under the trivial representation). An equation is said to be Lorentz covariant if it can be written in terms of Lorentz covariant quantities (confusingly, some use the term "invariant" here). The key property of such equations is that if they hold in one inertial frame, then they hold in any inertial frame; this follows from the result that if all the components of a tensor vanish in one frame, they vanish in every frame. This condition is a requirement according to the principle of relativity, i.e., all non-gravitational laws must make the same predictions for identical experiments taking place at the same spacetime event in two different inertial frames of reference.This usage of the term covariant should not be confused with the related concept of a covariant vector. On manifolds, the words covariant and contravariant refer to how objects transform under general coordinate transformations. Confusingly, both covariant and contravariant four-vectors can be Lorentz covariant quantities.Local Lorentz covariance, which follows from general relativity, refers to Lorentz covariance applying only locally in an infinitesimal region of spacetime at every point. There is a generalization of this concept to cover Poincaré covariance and Poincaré invariance.".
Lorentz_covariance wikiPageExternalLink 393763a0_fs.html.
Lorentz_covariance wikiPageExternalLink 4241007a.html.
Lorentz_covariance wikiPageExternalLink nature01882.html.
Lorentz_covariance wikiPageExternalLink faq.html.
Lorentz_covariance wikiPageID "543568".
Lorentz_covariance wikiPageLength "13847".
Lorentz_covariance wikiPageOutDegree "77".
Lorentz_covariance wikiPageRevisionID "679857908".
Lorentz_covariance wikiPageWikiLink Antimatter_tests_of_Lorentz_violation.
Lorentz_covariance wikiPageWikiLink CP_symmetry.
Lorentz_covariance wikiPageWikiLink CP_violation.
Lorentz_covariance wikiPageWikiLink Category:Special_relativity.
Lorentz_covariance wikiPageWikiLink Category:Symmetry.
Lorentz_covariance wikiPageWikiLink Covariance_and_contravariance_of_vectors.
Lorentz_covariance wikiPageWikiLink Cutoff_(physics).
Lorentz_covariance wikiPageWikiLink DAlembert_operator.
Lorentz_covariance wikiPageWikiLink DAlembertian.
Lorentz_covariance wikiPageWikiLink Deformation_theory.
Lorentz_covariance wikiPageWikiLink Deformed_special_relativity.
Lorentz_covariance wikiPageWikiLink Diagonal_matrix.
Lorentz_covariance wikiPageWikiLink Displacement_(vector).
Lorentz_covariance wikiPageWikiLink Doubly_special_relativity.
Lorentz_covariance wikiPageWikiLink Electromagnetic_field_tensor.
Lorentz_covariance wikiPageWikiLink Electromagnetic_tensor.
Lorentz_covariance wikiPageWikiLink Equation.
Lorentz_covariance wikiPageWikiLink Four-current.
Lorentz_covariance wikiPageWikiLink Four-gradient.
Lorentz_covariance wikiPageWikiLink Four-momentum.
Lorentz_covariance wikiPageWikiLink Four-position.
Lorentz_covariance wikiPageWikiLink Four-tensor.
Lorentz_covariance wikiPageWikiLink Four-vector.
Lorentz_covariance wikiPageWikiLink Four-velocity.
Lorentz_covariance wikiPageWikiLink General_covariance.
Lorentz_covariance wikiPageWikiLink General_relativity.
Lorentz_covariance wikiPageWikiLink Goldstone_boson.
Lorentz_covariance wikiPageWikiLink Gravitation.
Lorentz_covariance wikiPageWikiLink Gravity.
Lorentz_covariance wikiPageWikiLink Group_representation.
Lorentz_covariance wikiPageWikiLink Hendrik_Lorentz.
Lorentz_covariance wikiPageWikiLink Hodge_dual.
Lorentz_covariance wikiPageWikiLink Inertial_frame_of_reference.
Lorentz_covariance wikiPageWikiLink Inertial_frames_of_reference.
Lorentz_covariance wikiPageWikiLink Invariant_mass.
Lorentz_covariance wikiPageWikiLink Kronecker_delta.
Lorentz_covariance wikiPageWikiLink Levi-Civita_symbol.
Lorentz_covariance wikiPageWikiLink Local_symmetry.
Lorentz_covariance wikiPageWikiLink Lorentz-violating_neutrino_oscillations.
Lorentz_covariance wikiPageWikiLink Lorentz_covariance.
Lorentz_covariance wikiPageWikiLink Lorentz_covariant.
Lorentz_covariance wikiPageWikiLink Lorentz_group.
Lorentz_covariance wikiPageWikiLink Lorentz_invariance_in_loop_quantum_gravity.
Lorentz_covariance wikiPageWikiLink Lorentz_transformation.
Lorentz_covariance wikiPageWikiLink Manifold.
Lorentz_covariance wikiPageWikiLink Metric_tensor.
Lorentz_covariance wikiPageWikiLink Minkowski_metric.
Lorentz_covariance wikiPageWikiLink Minkowski_space.
Lorentz_covariance wikiPageWikiLink Partial_derivative.
Lorentz_covariance wikiPageWikiLink Phenomenological_Quantum_Gravity.
Lorentz_covariance wikiPageWikiLink Phenomenological_quantum_gravity.
Lorentz_covariance wikiPageWikiLink Phonon.
Lorentz_covariance wikiPageWikiLink Physical_quantity.
Lorentz_covariance wikiPageWikiLink Physics.
Lorentz_covariance wikiPageWikiLink Pierre_Auger_Observatory.
Lorentz_covariance wikiPageWikiLink Poincare_covariance.
Lorentz_covariance wikiPageWikiLink Poincare_invariance.
Lorentz_covariance wikiPageWikiLink Poincaré_group.
Lorentz_covariance wikiPageWikiLink Preferred_frame.
Lorentz_covariance wikiPageWikiLink Principle_of_relativity.
Lorentz_covariance wikiPageWikiLink Proper_distance.
Lorentz_covariance wikiPageWikiLink Proper_length.
Lorentz_covariance wikiPageWikiLink Proper_time.
Lorentz_covariance wikiPageWikiLink Quantum_electrodynamics.
Lorentz_covariance wikiPageWikiLink Quantum_gravity.
Lorentz_covariance wikiPageWikiLink Quantum_group.
Lorentz_covariance wikiPageWikiLink Renormalization_group.
Lorentz_covariance wikiPageWikiLink Representation_theory_of_the_Lorentz_group.
Lorentz_covariance wikiPageWikiLink Rest_mass.
Lorentz_covariance wikiPageWikiLink Scalar_(physics).
Lorentz_covariance wikiPageWikiLink Sign_convention.
Lorentz_covariance wikiPageWikiLink Space-time_interval.
Lorentz_covariance wikiPageWikiLink Spacelike.
Lorentz_covariance wikiPageWikiLink Spacetime.
Lorentz_covariance wikiPageWikiLink Spacetime_interval.
Lorentz_covariance wikiPageWikiLink Special_relativity.
Lorentz_covariance wikiPageWikiLink Special_theory_of_relativity.
Lorentz_covariance wikiPageWikiLink Speed_of_light.
Lorentz_covariance wikiPageWikiLink Spinor.
Lorentz_covariance wikiPageWikiLink Spontaneous_symmetry_breaking.
Lorentz_covariance wikiPageWikiLink Spontaneously_broken.
Lorentz_covariance wikiPageWikiLink Standard_Model.
Lorentz_covariance wikiPageWikiLink Symmetry_(physics).
Lorentz_covariance wikiPageWikiLink Symmetry_in_physics.
Lorentz_covariance wikiPageWikiLink Tensor.
Lorentz_covariance wikiPageWikiLink Tensor_order.
Lorentz_covariance wikiPageWikiLink Timelike.
Lorentz_covariance wikiPageWikiLink Trivial_representation.
Lorentz_covariance wikiPageWikiLink Very_Special_Relativity.
Lorentz_covariance wikiPageWikiLink Very_special_relativity.
Lorentz_covariance wikiPageWikiLinkText "Covariance".