Nonlinear effects in Thomas precession due to the interplay of Lorentz contraction and Thomas–Wigner rotation

Di Lorenzo, Antonio

doi:10.1038/s41598-022-20942-w

Nonlinear effects in Thomas precession due to the interplay of Lorentz contraction and Thomas–Wigner rotation

Antonio Di Lorenzo

Oct 6, 2022

15 pages

Published in:

Sci.Rep. 12 (2022) 1, 16757

Published: Oct 6, 2022

DOI:

10.1038/s41598-022-20942-w

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Abstract: (Springer)

It is demonstrated that the 3-vector \varvec{S} currently associated to the spin in an inertial frame does not contract, but rather dilates, in the direction of the velocity. The correct vector \varvec{T} is individuated. The equation of motion for the two vectors is shown to contain two terms, a common linear rotation, identified with Thomas precession, and also a nonlinear rotation depending on the direction of the spin itself.

References(26)

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[1]

The motion of a spinning electron

L.H. Thomas

- Nature 117 (1926) 514
•
DOI:
- 10.1038/117514a0

[2]

The Kinematics of an electron with an axis

L.H. Thomas
(
- Cambridge U.
)

- Phil.Mag.Ser.7 3 (1927) 1-21
•
DOI:
- 10.1080/14786440108564170

[3]

Classical Electrodynamics

JD Jackson

[4]

Thomas precession: Correct and incorrect solutions

GB Malykin

- Phys.Usp. 49 (2006) 837
•
DOI:
- 10.1070/pu2006v049n08abeh005870

[5]

On the difference between Wigner's and Møller's approaches to the description of Thomas precession

VI Ritus

- Phys.Usp. 50 (2007) 95
•
DOI:
- 10.1070/pu2007v050n01abeh006302

[6]

The polarization of electron beams and the measurement of the g-factor anomaly of free electrons

PS Farago

- Adv.Electron.Electron Phys. 21 (1966) 1-66
•
DOI:
- 10.1016/S0065-2539(08)61007-0

[7]

Classical Electromagnetism in a Nutshell

A. Garg

[8]

Thomas precession for spin and for a rod

SS Stepanov

- Phys.Part.Nucl. 43 (2012) 128-145
•
DOI:
- 10.1134/S1063779612010078

[9]

Precession of the polarization of particles moving in a homogeneous electromagnetic field

V. Bargmann
(
- Princeton U.
)
,
Louis Michel
(
- Ecole Polytechnique
)
,
V.L. Telegdi
(
- Chicago U.
)

- Phys.Rev.Lett. 2 (1959) 435-436,
•
DOI:
- 10.1103/PhysRevLett.2.435

DOI:
- 10.1088/1361-6404/ab8e27

[11]

La théorie de la relativité et la cinématique

Émile Borel

- Science 156 (1913) 215

[12]

Introduction geométrique a quelques théories physiques

Émile Borel

[13]

Raum und Zeit. Physik. Z. 10, 104 . [English transl. Space and Time, in Spacetime: Minkowski's Papers on Spacetime Physics, (Minkowski Institute Press, 2021)]