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Hay, H.J.; Schiffer, J. P.; Cranshaw, T. E.; Egelstaff, P. A.

doi:10.1103/physrevlett.4.165

Cited by 171 publications

(164 citation statements)

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“…The experiments [1]- [7] reported full agreement with the time dilation predicted by Einstein's theory of relativity. In the experiments [1]- [6], the Mössbauer source was placed at the center of a fast rotating disk and an absorber at the rim of the disk. In the analyses of these experiments, it was assumed that the absorption line of the rotating absorber stays Lorentzian with same width as at rest, and is shifted only by the time dilation factor.…”

Section: Introductionsupporting

confidence: 71%

“…Note that in other time dilation experiments, the value of R was about 5 cm, implying that the ratio of the new shift to the known one is 35 − 40%. How was such a deviation not observed in [1]- [6]? The reason for this is that their analyses did not take into account the broadening of the absorption curves during the rotation, as is explained below.…”

Section: Introductionmentioning

confidence: 99%

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Testing Einstein's time dilation under acceleration using Mössbauer spectroscopy

Friedman¹,

Nowik²

2012

Phys. Scr.

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The Einstein time dilation formula was tested in several experiments. Many trials have been made to measure the transverse second order Doppler shift by Mössbauer spectroscopy using a rotating absorber, to test the validity of this formula. Such experiments are also able to test if the time dilation depends only on the velocity of the absorber, as assumed by Einstein's clock hypothesis, or the present centripetal acceleration contributes to the time dilation. We show here that the fact that the experiment requires γ-ray emission and detection slits of finite size, the absorption line is broadened; by geometric longitudinal first order Doppler shifts immensely. Moreover, the absorption line is non-Lorenzian. We obtain an explicit expression for the absorption line for any angular velocity of the absorber. which did not observe the full absorption line itself, were wrong and the conclusions doubtful. The only proper experiment was done by Kündig (Phys. Rev. 129 (1963) 2371, who observed the broadening, but associated it to random vibrations of the absorber. We establish necessary conditions for the successful measurement of a transverse second order Doppler shift by Mössbauer spectroscopy. We indicate how the results of such an experiment can be used to verify the existence of a Doppler shift due to acceleration and to test the validity of Einstein's clock hypothesis.

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Section: Introductionsupporting

confidence: 71%

Section: Introductionmentioning

confidence: 99%

Testing Einstein's time dilation under acceleration using Mössbauer spectroscopy

Friedman¹,

Nowik²

2012

Phys. Scr.

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“…In that way, Kündig's experiment can be considered as the most precise among other experiments of the same kind [4][5][6][7][8], where the experimenters measured only the count rate of detected γ−quanta as a function of rotation frequency. The authors of [1] have also shown that the experiment [8], which contains much more data than the ones in [4][5][6][7], also confirms the supposition k > 0.5. Motived by their results in [1] the authors carried out their own experiment [2].…”

Section: Introductionmentioning

confidence: 99%

“…Motived by their results in [1] the authors carried out their own experiment [2]. They decided to repeat neither the scheme of the Kündig experiment [3] nor the schemes of other known experiments on the subject previously mentioned above [4][5][6][7][8]. In that way, they got independent information on the value of k in equation (1).…”

Section: Introductionmentioning

confidence: 99%

Interpretation of Mössbauer experiment in a rotating system: A new proof for general relativity

Corda

2015

Annals of Physics

159

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A historical experiment by Kündig on the transverse Doppler shift in a rotating system measured with the Mössbauer effect (Mössbauer rotor experiment) has been recently first re-analyzed and then replied by an experimental research group. The results of re-analyzing the experiment have shown that a correct re-processing of Kündig's experimental data gives an interesting deviation of a relative redshift between emission and absorption resonant lines from the standard prediction based on the relativistic dilatation of time. That prediction gives a redshiftwhere v is the tangential velocity of the absorber of resonant radiation, c is the velocity of light in vacuum and the result is given to the accuracy of first-order in v 2 c 2 . Data re-processing gave ∇E E ≃ −k v 2 c 2 with k = 0.596 ± 0.006. Subsequent new experimental results by the reply of Kündig experiment have shown a redshift with k = 0.68 ± 0.03 instead.By using Einstein Equivalence Principle, which states the equivalence between the gravitational "force" and the pseudo-force experienced by an observer in a non-inertial frame of reference (included a rotating frame of reference) here we re-analyze the theoretical framework of Mössbauer rotor experiments directly in the rotating frame of reference by using a general relativistic treatment. It will be shown that previous analyses missed an 1 important effect of clock synchronization and that the correct general relativistic prevision in the rotating frame gives k ≃ 2 3 in perfect agreement with the new experimental results. Such an effect of clock synchronization has been missed in various papers in the literature with some subsequent claim of invalidity of relativity theory and/or some attempts to explain the experimental results through "exotic" effects. Our general relativistic interpretation shows, instead, that the new experimental results of the Mössbauer rotor experiment are a new, strong and independent, proof of Einstein general relativity.In the final Section of the paper we discuss an analogy with the use of General Relativity in Global Positioning Systems.

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“…Both theories indicate that accelerated clocks should run slower than those left behind at their original location. One needs a "two-way experiment" to actually differentiate between the two theoretical positions, one in which the "observer" is moving faster in the laboratory than the object of the measurements Hay et al [25] carried out x-ray frequency measurements employing the Mössbauer effect that had the potential of resolving this question. Both the light source and the absorber/detector were mounted on an ultracentrifuge that attained rotational speeds of up to 500 revolutions per second.…”

Section: High-speed Rotor Experimentsmentioning

confidence: 99%

Relativity Laws for the Variation of Rates of Clocks Moving in Free Space and GPS Positioning Errors Caused by Space-Weather Events

Buenker¹,

Голубков²,

Голубков³

et al. 2013

Global Navigation Satellite Systems - From Stellar to Satellite Navigation

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Measurement of the Red Shift in an Accelerated System Using the Mössbauer Effect inFe57

Cited by 171 publications

References 1 publication

Testing Einstein's time dilation under acceleration using Mössbauer spectroscopy

Testing Einstein's time dilation under acceleration using Mössbauer spectroscopy

Interpretation of Mössbauer experiment in a rotating system: A new proof for general relativity

Relativity Laws for the Variation of Rates of Clocks Moving in Free Space and GPS Positioning Errors Caused by Space-Weather Events

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