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## g[}X΍iPj

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 ƏÎŌẮug[}X΍v׋ĂƎv܂BȒPɐTCg͂܂薳āAg[}X΍炢ł傤ˁHpWikipediaThomas precessionƂȂ܂B ҂pƁA ----------------------------------------- The composition of two Lorentz boosts which are non-collinear, results in a Lorentz transformation that is not a pure boost but is the product 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 the spatial origins of a sequence of inertial frame to the starting point, then the sequence of Wigner rotations combine to produce a net rotation called the Thomas precession. 2̃[cu[Xg͔̍񋤐ł菃ȃ[cϊł͂ȂAu[XgƉ]̐ςƂȂB̉]́Ag[}X]Ag[}X-EBOi[]A邢̓EBOi[]ƌĂ΂B 1926 NɃg[}XɂĔA1939 NɃEBOi[ɂēoꂽBA񋤐u[XgAÃX^[g_ƂȂ銵n̋ԓIȌ_Ɉ߂ƁAEBOi[]̘A̓g[}X΍ƌĂ΂鐳̉]oB Thomas precession is a kinematic effect in the flat spacetime of special relativity. In the curved spacetime of general relativity, Thomas precession combines with a geometric effect to produce de Sitter precession. Although Thomas precession (net rotation after a trajectory that returns to its starting point) is a purely kinematic effect, it only occurs in curvilinear motion and therefore cannot be observed independently of some centripetal force causing the curvilinear motion such as that caused by an electromagnetic field, gravitational field or mechanical force so Thomas precession is always accompanied by dynamical effects.In the Lorentz scalar field, spin of the particle does not feel the torque, resulting in the spin dynamics is determined only by the Thomas precession. g[}X΍͓ꑊΘ_̕RȎɂ^wIʂłAʑΘ_̋ȂɂĂ̓g[}X΍􉽊wIȌʂƑgݍ킳hEWb^[΍𐶂Bg[}X΍iȌo_ɖ߂ꍇ̐̉]jɉ^wIʂł邪AȐ^݂̂ŔA䂦dEd͏͊wɋNċȐ^NĂ኱̋S͂ƓƗĊώ@邱ƂłAg[}X΍͏ɓ͊wIȌʂɕtB[cEXJ[ł́Aq̃Xs̓gNAʂƂăXs̓͊w̓g[}X΍݂̂ɂČ肳B ----------------------------------------- ƂƂłA "de Sitter precession" Ƃ̂oĂāAeGeodetic effectƓ炵łB͂ŕʂɕ׋Ă݂Ǝv܂B Ė{ɖ߂ƁÃg[}X]Ƃ̂Au Lorentz ϊ̐ρiSjvł $R\left(\hat{z},\theta&space;\right)$ ɂ̂ł傤Bɑ΂錟͎Ƃ܂B ͂̕ӂŁBB

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