Thomas Precession

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Tolga Yarman - One of the best experts on this subject based on the ideXlab platform.

  • Thomas Precession and Thomas-Wigner rotation: Correct solutions and their implications
    EPL (Europhysics Letters), 2020
    Co-Authors: Alexander Kholmetskii, Tolga Yarman, Oleg V. Missevitch, Metin Arik
    Abstract:

    We address the Thomas Precession for the hydrogen-like atom and point out that in the derivation of this effect in the semi-classical approach, two different successions of rotation-free Lorentz transformations between the laboratory frame K and the proper electron's frames, and , separated by the time interval , were used by different authors. We further show that the succession of Lorentz transformations leads to relativistically non-adequate results in the frame with respect to the rotational frequency of the electron spin, and thus an alternative succession of transformations , must be applied. From the physical viewpoint this means the validity of the introduced “tracking rule”, when the rotation-free Lorentz transformation, being realized between the frame of observation K and the frame co-moving with a tracking object at the time moment t , remains in force at any future time moments, too. We apply this rule to the moving macroscopic objects and analyze its implications with respect to the Thomas-Wigner rotation and its application to astrometry.

  • relativistic transformation of the frequency of Thomas Precession
    European Physical Journal Plus, 2017
    Co-Authors: A L Kholmetskii, Tolga Yarman
    Abstract:

    We analyze the relativistic transformation of the frequency of the Thomas Precession and show that the known expression for this frequency, written for two different inertial observers, disagrees with the Doppler expression for the signal frequency fixed by these observers. We show that this paradox is inherently related to the known Bacry paradox, and both of them are resolved via the statement that the velocity parameter, entering into the expression for the frequency of the Thomas Precession, always corresponds to a rotation-free Lorentz transformation between a set of rest frames of a particle with spin, moving along a curved path, and an inertial frame of observation. Some implications of this result are discussed.

  • Thomas wigner rotation and Thomas Precession in covariant ether theories novel approach to experimental verification of special relativity
    Canadian Journal of Physics, 2015
    Co-Authors: A L Kholmetskii, Tolga Yarman
    Abstract:

    We continue the analysis of Thomas–Wigner rotation (TWR) and Thomas Precession (TP) initiated in (Kholmetskii and Yarman. Can. J. Phys. 92, 1232 (2014). doi:10.1139/cjp-2014-0015; Kholmetskii et al. Can. J. Phys. 92, 1380 (2014). doi:10.1139/cjp-2014-0140), where a number of points of serious inconsistency have been found in the relativistic explanation of these effects. These findings motivated us to address covariant ether theories (CET), as suggested by the first author (Kholmetskii. Phys. Scr. 67, 381 (2003)) and to show that both TWR and TP find a perfect explanation in CET. We briefly reproduce the main points of CET, which are constructed on the basis of general symmetries of empty space–time, general relativity principles, and classical causality, instead of Einstein’s postulates of the special theory of relativity (STR). We demonstrate that with respect to all known relativistic experiments performed to date in all areas of physics, both theories, STR and CET, yield identical results. We further ...

  • Thomas–Wigner rotation and Thomas Precession in covariant ether theories: novel approach to experimental verification of special relativity
    Canadian Journal of Physics, 2015
    Co-Authors: Alexander Kholmetskii, Tolga Yarman
    Abstract:

    We continue the analysis of Thomas–Wigner rotation (TWR) and Thomas Precession (TP) initiated in (Kholmetskii and Yarman. Can. J. Phys. 92, 1232 (2014). doi:10.1139/cjp-2014-0015; Kholmetskii et al. Can. J. Phys. 92, 1380 (2014). doi:10.1139/cjp-2014-0140), where a number of points of serious inconsistency have been found in the relativistic explanation of these effects. These findings motivated us to address covariant ether theories (CET), as suggested by the first author (Kholmetskii. Phys. Scr. 67, 381 (2003)) and to show that both TWR and TP find a perfect explanation in CET. We briefly reproduce the main points of CET, which are constructed on the basis of general symmetries of empty space–time, general relativity principles, and classical causality, instead of Einstein’s postulates of the special theory of relativity (STR). We demonstrate that with respect to all known relativistic experiments performed to date in all areas of physics, both theories, STR and CET, yield identical results. We further ...

  • Thomas wigner rotation and Thomas Precession actualized approach
    Canadian Journal of Physics, 2014
    Co-Authors: A L Kholmetskii, Tolga Yarman
    Abstract:

    We show that the explanation of Thomas–Wigner rotation and Thomas Precession (TP) in the framework of special theory of relativity (STR) contains a number of points of inconsistency, in particular, with respect to physical interpretation of the Einstein velocity composition law in successive space–time transformations. In addition, we show that the common interpretation of TP falls into conflict with the causality principle. To eliminate such a conflict, we suggest considering the velocity parameter, entering into the expression for the frequency of TP, as being always related to a rotation-free Lorentz transformation. Such an assumption (which actually resolves any causal paradoxes with respect to TP), comes however to be in contradiction with the spirit of STR. The results obtained are discussed.

Eda Kilinçarslan - One of the best experts on this subject based on the ideXlab platform.

  • A Semiclassical Kinetic Theory of Dirac Particles and Thomas Precession
    Physics Letters B, 2015
    Co-Authors: Ömer F. Dayi, Eda Kilinçarslan
    Abstract:

    Abstract Kinetic theory of Dirac fermions is studied within the matrix valued differential forms method. It is based on the symplectic form derived by employing the semiclassical wave packet build of the positive energy solutions of the Dirac equation. A satisfactory definition of the distribution matrix elements imposes to work in the basis where the helicity is diagonal which is also needed to attain the massless limit. We show that the kinematic Thomas Precession correction can be studied straightforwardly within this approach. It contributes on an equal footing with the Berry gauge fields. In fact in equations of motion it eliminates the terms arising from the Berry gauge fields.

Krzysztof Rȩbilas - One of the best experts on this subject based on the ideXlab platform.

  • Subtleties of the Thomas Precession
    European Journal of Physics, 2015
    Co-Authors: Krzysztof Rȩbilas
    Abstract:

    The rarely mentioned fact that a pure boost in general distorts the axes of the boosted frame is shown to influence significantly the Thomas Precession effect as observed in the laboratory frame. As a result the Thomas Precession appears to be accompanied by a 'wobbling' motion of the axes of precessing rest frame connected with a moving particle. A simple method to get an exact solution for the development of the orientation of the frame axes in the case of uniform rotation of the particle is given. This is equivalent to finding the orientation of the spin vector used in the BMT theory. The discrepancy known from the literature in describing the spin, as performing a uniform rotation or as revealing in the same situation some additional oscillatory behaviour, is explained by pointing out two conceptually different approaches, 'hybrid' and fully consistent, in presenting the Thomas Precession.

  • Thomas Precession: where is the torque? Another solution to the problem
    European Journal of Physics, 2014
    Co-Authors: Krzysztof Rȩbilas
    Abstract:

    Special relativity predicts that a spinning object with a constant angular momentum in its rest frame, when transported around an orbit, will undergo the Thomas Precession in the laboratory frame. As no torque is applied in the rest frame of the gyroscope, it appears that the principle of conservation of angular momentum is violated. In this paper, we show that in fact the Thomas Precession of the gyroscope is accompanied by a torque emerging due to the Lorentz transformation of the force acting on segments of the gyroscope. Using the derived formula for torque, we find the standard expression for the Thomas Precession rate. Advantages of our approach compared to a work on the same problem, by Muller (1992 Am. J. Phys. 60 313–317), are discussed.

  • Comment on ‘Elementary analysis of the special relativistic combination of velocities, Wigner rotation and Thomas Precession
    European Journal of Physics, 2013
    Co-Authors: Krzysztof Rȩbilas
    Abstract:

    Significant difficulties in understanding the meaning of calculations presented by O'Donnell and Visser (2011 Eur. J. Phys. 32 1033), as well as an incorrect interpretation of the formula for the Thomas Precession, are pointed out. A straightforward method to attribute the formal calculations performed by the authors to the relativistic effect of Wigner or Thomas rotation is proposed.

  • Thomas Precession and the Bargmann-Michel-Telegdi Equation
    Foundations of Physics, 2011
    Co-Authors: Krzysztof Rȩbilas
    Abstract:

    A direct method showing the Thomas Precession for an evolution of any vector quantity (a spatial part of a four-vector) is proposed. A useful application of this method is a possibility to trace correctly the presence of the Thomas Precession in the Bargmann-Michel-Telegdi equation. It is pointed out that the Thomas Precession is not incorporated in the kinematical term of the Bargmann-Michel-Telegdi equation, as it is commonly believed. When the Bargmann-Michel-Telegdi equation is interpreted in curved spacetimes, this term is shown to be equivalent to the affine connection term in the covariant derivative of the spin four-vector evolving in a gravitational field. It then contributes to the geodetic Precession. The described problem is an interesting and unexpected example showing that approximate methods used in special relativity, in this case to identify the Thomas Precession, can distort the true meaning of physical laws.

Alexander Kholmetskii - One of the best experts on this subject based on the ideXlab platform.

  • Thomas Precession and Thomas-Wigner rotation: Correct solutions and their implications
    EPL (Europhysics Letters), 2020
    Co-Authors: Alexander Kholmetskii, Tolga Yarman, Oleg V. Missevitch, Metin Arik
    Abstract:

    We address the Thomas Precession for the hydrogen-like atom and point out that in the derivation of this effect in the semi-classical approach, two different successions of rotation-free Lorentz transformations between the laboratory frame K and the proper electron's frames, and , separated by the time interval , were used by different authors. We further show that the succession of Lorentz transformations leads to relativistically non-adequate results in the frame with respect to the rotational frequency of the electron spin, and thus an alternative succession of transformations , must be applied. From the physical viewpoint this means the validity of the introduced “tracking rule”, when the rotation-free Lorentz transformation, being realized between the frame of observation K and the frame co-moving with a tracking object at the time moment t , remains in force at any future time moments, too. We apply this rule to the moving macroscopic objects and analyze its implications with respect to the Thomas-Wigner rotation and its application to astrometry.

  • Thomas–Wigner rotation and Thomas Precession in covariant ether theories: novel approach to experimental verification of special relativity
    Canadian Journal of Physics, 2015
    Co-Authors: Alexander Kholmetskii, Tolga Yarman
    Abstract:

    We continue the analysis of Thomas–Wigner rotation (TWR) and Thomas Precession (TP) initiated in (Kholmetskii and Yarman. Can. J. Phys. 92, 1232 (2014). doi:10.1139/cjp-2014-0015; Kholmetskii et al. Can. J. Phys. 92, 1380 (2014). doi:10.1139/cjp-2014-0140), where a number of points of serious inconsistency have been found in the relativistic explanation of these effects. These findings motivated us to address covariant ether theories (CET), as suggested by the first author (Kholmetskii. Phys. Scr. 67, 381 (2003)) and to show that both TWR and TP find a perfect explanation in CET. We briefly reproduce the main points of CET, which are constructed on the basis of general symmetries of empty space–time, general relativity principles, and classical causality, instead of Einstein’s postulates of the special theory of relativity (STR). We demonstrate that with respect to all known relativistic experiments performed to date in all areas of physics, both theories, STR and CET, yield identical results. We further ...

  • Thomas–Wigner rotation and Thomas Precession: actualized approach
    Canadian Journal of Physics, 2014
    Co-Authors: Alexander Kholmetskii, Tolga Yarman
    Abstract:

    We show that the explanation of Thomas–Wigner rotation and Thomas Precession (TP) in the framework of special theory of relativity (STR) contains a number of points of inconsistency, in particular, with respect to physical interpretation of the Einstein velocity composition law in successive space–time transformations. In addition, we show that the common interpretation of TP falls into conflict with the causality principle. To eliminate such a conflict, we suggest considering the velocity parameter, entering into the expression for the frequency of TP, as being always related to a rotation-free Lorentz transformation. Such an assumption (which actually resolves any causal paradoxes with respect to TP), comes however to be in contradiction with the spirit of STR. The results obtained are discussed.

Ömer F. Dayi - One of the best experts on this subject based on the ideXlab platform.

  • A Semiclassical Kinetic Theory of Dirac Particles and Thomas Precession
    Physics Letters B, 2015
    Co-Authors: Ömer F. Dayi, Eda Kilinçarslan
    Abstract:

    Abstract Kinetic theory of Dirac fermions is studied within the matrix valued differential forms method. It is based on the symplectic form derived by employing the semiclassical wave packet build of the positive energy solutions of the Dirac equation. A satisfactory definition of the distribution matrix elements imposes to work in the basis where the helicity is diagonal which is also needed to attain the massless limit. We show that the kinematic Thomas Precession correction can be studied straightforwardly within this approach. It contributes on an equal footing with the Berry gauge fields. In fact in equations of motion it eliminates the terms arising from the Berry gauge fields.