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• Thomas_precession abstract "In physics, the Thomas precession, named after Llewellyn Thomas, is a relativistic correction that applies to the spin of an elementary particle or the rotation of a macroscopic gyroscope and relates the angular velocity of the spin of a particle following a curvilinear orbit to the angular velocity of the orbital motion. It can be understood geometrically as a consequence of the fact that the space of velocities in relativity is hyperbolic, and so parallel transport of a vector (the gyroscope's angular velocity) around a circle (its linear velocity) leaves it pointing in a different direction, or understood algebraically as being a result of the non-commutativity of Lorentz transformations. Thomas precession gives a correction to the spin–orbit interaction in quantum mechanics, which takes into account the relativistic time dilation between the electron and the nucleus of an atom.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 precession 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.".
• Thomas_precession wikiPageExternalLink v=onepage&q=sexl%20relativity&f=false.
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• Thomas_precession wikiPageExternalLink thomprec.pdf.
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• Thomas_precession wikiPageWikiLink American_Association_of_Physics_Teachers.
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• Thomas_precession wikiPageWikiLink Cambridge_University_Press.
• Thomas_precession wikiPageWikiLink Category:Atomic_physics.
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• Thomas_precession wikiPageWikiLink Commutative.
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• Thomas_precession wikiPageWikiLink Parallel_transport.
• Thomas_precession wikiPageWikiLink Physics.
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• Thomas_precession wikiPageWikiLink Springer_Science+Business_Media.
• Thomas_precession wikiPageWikiLink Theory_of_relativity.
• Thomas_precession wikiPageWikiLink Time_dilation.
• Thomas_precession wikiPageWikiLink Torque.
• Thomas_precession wikiPageWikiLink Twin_paradox.
• Thomas_precession wikiPageWikiLink Vector_addition.
• Thomas_precession wikiPageWikiLink Velocity-addition_formula.
• Thomas_precession wikiPageWikiLink Velocity_addition_formula.
• Thomas_precession wikiPageWikiLink Willem_de_Sitter.
• Thomas_precession wikiPageWikiLink File:Thomas_rotation.svg.
• Thomas_precession wikiPageWikiLink File:Thomas_rotation_compared_velocity_compositions.svg.
• Thomas_precession wikiPageWikiLink File:Thomas_rotation_updated_reversed_configuration.svg.
• Thomas_precession wikiPageWikiLinkText "Thomas precession".
• Thomas_precession hasPhotoCollection Thomas_precession.
• Thomas_precession 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".
• Thomas_precession wikiPageUsesTemplate Template:Citation.
• Thomas_precession wikiPageUsesTemplate Template:Cite_book.
• Thomas_precession wikiPageUsesTemplate Template:Cite_journal.
• Thomas_precession wikiPageUsesTemplate Template:EquationNote.
• Thomas_precession wikiPageUsesTemplate Template:EquationRef.
• Thomas_precession wikiPageUsesTemplate Template:Main.

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