Relativistic Rotation: A Comparison of Theories

Klauber, Robert D.

doi:10.1007/s10701-006-9099-z

Cited by 16 publications

(24 citation statements)

References 37 publications

(112 reference statements)

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“…1(a). However, it is impossible to apply the clock synchronization to a closed path because the problem of time gap that multiple times, depending on paths, are defined at the same place [3,4,11] The anisotropy does not imply that the standard synchronization cannot be employed to discover physical quantities. On the contrary, the presupposition of the isotropy of inertial frames, but with its exact meaning, can allow us to readily approach the problems of physics, as shown in this paper.…”

Section: Resultsmentioning

confidence: 99%

Theoretical analysis of generalized Sagnac effect in the standard synchronization

Choi

2017

Can. J. Phys.

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Abstract:The Sagnac effect has been shown in inertial frames as well as rotating frames. We solve the problem of the generalized Sagnac effect in the standard synchronization of clocks. The speed of a light beam that traverses an optical fiber loop is measured with respect to the proper time of the light detector, and is shown to be other than the constant c, though it appears to be c if measured by the time standard-synchronized. The fiber loop, which can have an arbitrary shape, is described by an infinite number of straight lines such that it can be handled by the general framework of Mansouri and Sexl (MS). For a complete analysis of the Sagnac effect, the motion of the laboratory should be taken into account. The MS framework is introduced to deal with its motion relative to a preferred reference frame. Though the one-way speed of light is other than c, its two-way speed is shown to be c with respect to the proper time. The theoretical analysis of the generalized Sagnac effect corresponds to the experimental results, and shows the usefulness of the standard synchronization. The introduction of the standard synchrony can make mathematical manipulation easy and can allow us to deal with relative motions between inertial frames without information on their velocities relative to the preferred frame.

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Section: Resultsmentioning

confidence: 99%

Theoretical analysis of generalized Sagnac effect in the standard synchronization

Choi

2017

Can. J. Phys.

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“…In Fig. 2, when an observer m Õ belongs to an inertial frame j S , the travel time as seen in i S , which is AT, is [19,20]. Even the speed of light in a rotating frame has remained unsolved under the theory of relativity based on the constancy of the speed of light.…”

Section: The Matrix 22mentioning

confidence: 99%

“…Though a variety of explanations and analyses on the Sagnac effect are available based on these theories [19,20], even the problem of time gap that multiple times are defined at the same place in the rotating frame has not been resolved. The generalized Sagnac effect [11,[16][17][18]21] that shows the anisotropy of the speed of light in inertial frames as well may be a more perplexing conundrum to the theory of relativity based on its isotropy.…”

Section: Introductionmentioning

confidence: 99%

Uniqueness of the Isotropic Frame and Usefulness of the Lorentz Transformation

Choi

2018

J. Korean Phys. Soc.

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According to the postulates of the special theory of relativity (STR), physical quantities such as proper times and Doppler shifts can be obtained from any inertial frame by regarding it as isotropic.Nonetheless many inconsistencies arise from the postulates, as shown in this paper. However, there are numerous experimental results that agree with the predictions of STR. It is explained why they are accurate despite the inconsistencies. The Lorentz transformation (LT), unless subject to the postulates of STR, may be a useful method to approach physics problems. As an example to show the usefulness of LT, the problem of the generalized Sagnac effect is solved by utilizing it.

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“…The relativity of a rotating disk is not yet well understood (Rizzi, 2004;Alba & Lusanna, 2010;Klauber, 2007). There are several models for the relativistic effects of a rotating disk, but all of them present some theoretical as well as experimental problems.…”

Section: Introductionmentioning

confidence: 99%

The validity of an experiment testing the influence of acceleration on time dilation using a rotating Mössbauer absorber and a Synchrotron Mössbauer Source

Friedman

Steiner

Livshitz

et al. 2019

J Synchrotron Radiat

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Three experiments are reviewed, performed (in 2014-2016) at ID18 of ESRF to measure the influence of acceleration on time dilation by measuring the relative shift between the absorption lines of two states of the same rotating absorber with accelerations anti-parallel and parallel to the incident beam. Statistically significant data for rotation frequencies up to 510 Hz in both directions of rotation were collected. For each run with high rotation, a stable statistically significant 'vibration-free' relative shift between the absorption lines of the two states was measured. This may indicate the influence of acceleration on time dilation. However, the measured relative shift was also affected by the use of a slit necessary to focus the beam to the axis of rotation to a focal spot of submicrometre size. The introduction of the slit broke the symmetry in the absorption lines due to the nuclear lighthouse effect and affected the measured relative shift, preventing to claim conclusively the influence of acceleration on time dilation. Assuming that this loss of symmetry is of first order, the zero value of the relative shift, corrected for this loss, falls always within the experimental error limits, as predicted by Einstein's clock hypothesis. The requirements and an indispensable plan for a conclusive experiment, once the improved technology becomes available, is presented. This will be useful to future experimentalists wishing to pursue this experiment or a related rotor experiment involving a Mö ssbauer absorber and a synchrotron Mö ssbauer source.

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Relativistic Rotation: A Comparison of Theories

Cited by 16 publications

References 37 publications

Theoretical analysis of generalized Sagnac effect in the standard synchronization

Theoretical analysis of generalized Sagnac effect in the standard synchronization

Uniqueness of the Isotropic Frame and Usefulness of the Lorentz Transformation

The validity of an experiment testing the influence of acceleration on time dilation using a rotating Mössbauer absorber and a Synchrotron Mössbauer Source

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