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- Wigner_rotation abstract "In theoretical physics, the composition of two non-collinear Lorentz boosts results in a Lorentz transformation that is not a pure boost but is the composition of a boost and a rotation. This rotation is called Thomas rotation, Thomas–Wigner rotation or Wigner rotation. The rotation was discovered by Thomas in 1926, and derived by Wigner in 1939. If a sequence of non-collinear boosts returns an object to its initial velocity, then the sequence of Wigner rotations can combine to produce a net rotation called the Thomas precession.There are still ongoing discussions about the correct form of equations for the Thomas rotation in different reference systems with contradicting results. Goldstein:The spatial rotation resulting from the successive application of two non-collinear Lorentz transformations have been declared every bit as paradoxical as the more frequently discussed apparent violations of common sense, such as the twin paradox.Einstein's principle of velocity reciprocity (EPVR) readsWe postulate that the relation between the coordinates of the two systems is linear. Then the inverse transformation is also linear and the complete non-preference of the one or the other system demands that the transformation shall be identical with the original one, except for a change of v to −vWith less careful interpretation, the EPVR is seemingly violated in some models. There is, of course, no true paradox present.".
- Wigner_rotation thumbnail Wigner.jpg?width=300.
- Wigner_rotation wikiPageID "24293838".
- Wigner_rotation wikiPageLength "35335".
- Wigner_rotation wikiPageOutDegree "69".
- Wigner_rotation wikiPageRevisionID "705222729".
- Wigner_rotation wikiPageWikiLink Active_and_passive_transformation.
- Wigner_rotation wikiPageWikiLink Annals_of_Mathematics.
- Wigner_rotation wikiPageWikiLink Associative_property.
- Wigner_rotation wikiPageWikiLink Axis–angle_representation.
- Wigner_rotation wikiPageWikiLink Binary_operation.
- Wigner_rotation wikiPageWikiLink Block_matrix.
- Wigner_rotation wikiPageWikiLink Category:Coordinate_systems.
- Wigner_rotation wikiPageWikiLink Category:Mathematical_physics.
- Wigner_rotation wikiPageWikiLink Category:Physics.
- Wigner_rotation wikiPageWikiLink Category:Special_relativity.
- Wigner_rotation wikiPageWikiLink Category:Theoretical_physics.
- Wigner_rotation wikiPageWikiLink Category:Theory_of_relativity.
- Wigner_rotation wikiPageWikiLink Collinearity.
- Wigner_rotation wikiPageWikiLink Commutative_property.
- Wigner_rotation wikiPageWikiLink Commutator.
- Wigner_rotation wikiPageWikiLink Cross_product.
- Wigner_rotation wikiPageWikiLink Cyclic_permutation.
- Wigner_rotation wikiPageWikiLink Euclidean_vector.
- Wigner_rotation wikiPageWikiLink Herbert_Goldstein.
- Wigner_rotation wikiPageWikiLink Hyperbolic_geometry.
- Wigner_rotation wikiPageWikiLink Hyperbolic_triangle.
- Wigner_rotation wikiPageWikiLink Larmor_precession.
- Wigner_rotation wikiPageWikiLink Lorentz_factor.
- Wigner_rotation wikiPageWikiLink Lorentz_group.
- Wigner_rotation wikiPageWikiLink Lorentz_transformation.
- Wigner_rotation wikiPageWikiLink Matrix_similarity.
- Wigner_rotation wikiPageWikiLink Minkowski_diagram.
- Wigner_rotation wikiPageWikiLink Nonlinear_system.
- Wigner_rotation wikiPageWikiLink Norm_(mathematics).
- Wigner_rotation wikiPageWikiLink Orientation_(vector_space).
- Wigner_rotation wikiPageWikiLink Orthogonal_matrix.
- Wigner_rotation wikiPageWikiLink Parallelogram_law.
- Wigner_rotation wikiPageWikiLink Pauli–Lubanski_pseudovector.
- Wigner_rotation wikiPageWikiLink Rapidity.
- Wigner_rotation wikiPageWikiLink Representation_theory_of_the_Lorentz_group.
- Wigner_rotation wikiPageWikiLink Right-hand_rule.
- Wigner_rotation wikiPageWikiLink Rotation_around_a_fixed_axis.
- Wigner_rotation wikiPageWikiLink Rotation_matrix.
- Wigner_rotation wikiPageWikiLink Row_and_column_vectors.
- Wigner_rotation wikiPageWikiLink Symmetric_matrix.
- Wigner_rotation wikiPageWikiLink Theoretical_physics.
- Wigner_rotation wikiPageWikiLink Thomas_precession.
- Wigner_rotation wikiPageWikiLink Transpose.
- Wigner_rotation wikiPageWikiLink Twin_paradox.
- Wigner_rotation wikiPageWikiLink Two-dimensional_space.
- Wigner_rotation wikiPageWikiLink Unit_vector.
- Wigner_rotation wikiPageWikiLink Velocity-addition_formula.
- Wigner_rotation wikiPageWikiLink Wigner_rotation.
- Wigner_rotation wikiPageWikiLink File:Lorentz_boosts_and_Thomas_rotation_1.svg.
- Wigner_rotation wikiPageWikiLink File:Lorentz_boosts_and_Thomas_rotation_2.svg.
- Wigner_rotation wikiPageWikiLink File:Lorentz_boosts_and_Thomas_rotation_3.svg.
- Wigner_rotation wikiPageWikiLink File:Lorentz_boosts_and_Thomas_rotation_4.svg.
- Wigner_rotation wikiPageWikiLink File:Thomas_rotation.svg.
- Wigner_rotation wikiPageWikiLink File:Thomas_rotation_compared_velocity_compositions.svg.
- Wigner_rotation wikiPageWikiLink File:Thomas_rotation_updated_reversed_configuration.svg.
- Wigner_rotation wikiPageWikiLink File:Wigner.jpg.
- Wigner_rotation wikiPageWikiLinkText "Wigner rotation".
- Wigner_rotation text "The decomposition process described can be through on the product of two pure Lorentz transformations to obtain explicitly the rotation of the coordinate axes resulting from the two successive "boosts". In general, the algebra involved is quite forbidding, more than enough, usually, to discourage any actual demonstration of the rotation matrix".
- Wigner_rotation wikiPageUsesTemplate Template:=.
- Wigner_rotation wikiPageUsesTemplate Template:Abs.
- Wigner_rotation wikiPageUsesTemplate Template:Citation.
- Wigner_rotation wikiPageUsesTemplate Template:Cite_webpage.
- Wigner_rotation wikiPageUsesTemplate Template:Confuse.
- Wigner_rotation wikiPageUsesTemplate Template:EquationRef.
- Wigner_rotation wikiPageUsesTemplate Template:Harvtxt.
- Wigner_rotation wikiPageUsesTemplate Template:Main.
- Wigner_rotation wikiPageUsesTemplate Template:Math.
- Wigner_rotation wikiPageUsesTemplate Template:Mvar.
- Wigner_rotation wikiPageUsesTemplate Template:NumBlk.
- Wigner_rotation wikiPageUsesTemplate Template:Quote.
- Wigner_rotation wikiPageUsesTemplate Template:Reflist.
- Wigner_rotation wikiPageUsesTemplate Template:Relativity.
- Wigner_rotation wikiPageUsesTemplate Template:Spacetime.
- Wigner_rotation subject Category:Coordinate_systems.
- Wigner_rotation subject Category:Mathematical_physics.
- Wigner_rotation subject Category:Physics.
- Wigner_rotation subject Category:Special_relativity.
- Wigner_rotation subject Category:Theoretical_physics.
- Wigner_rotation subject Category:Theory_of_relativity.
- Wigner_rotation hypernym Composition.
- Wigner_rotation type MusicalWork.
- Wigner_rotation type Thing.
- Wigner_rotation comment "In theoretical physics, the composition of two non-collinear Lorentz boosts results in a Lorentz transformation that is not a pure boost but is the composition of a boost and a rotation. This rotation is called Thomas rotation, Thomas–Wigner rotation or Wigner rotation. The rotation was discovered by Thomas in 1926, and derived by Wigner in 1939.".
- Wigner_rotation label "Wigner rotation".
- Wigner_rotation differentFrom Thomas_precession.
- Wigner_rotation sameAs m.062dxg.
- Wigner_rotation wasDerivedFrom Wigner_rotation?oldid=705222729.
- Wigner_rotation depiction Wigner.jpg.
- Wigner_rotation isPrimaryTopicOf Wigner_rotation.