Test of the special-relativistic Doppler formula at<i>β=0.84</i>

MacArthur, D.W.; Butterfield, K. B.; Clark, David; Donahue, J. B.; Gram, P. A. M.; Bryant, H. C.; Harvey, Carol J.; Smith, William Hayden; Comtet, G.

doi:10.1103/physrevlett.56.282

Cited by 30 publications

(16 citation statements)

References 9 publications

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“…While its sensitivity to the minimal SME parameters is lower than those of astrophysical observations and interferometer experiments, both searching for sidereal variations, the IS experiment stands out as one of the few absolute measurements being independent from sidereal variations by using an experimentally prepared large Lorentz boost. For a putative effect that scales with β 4 , our result sets a 100-fold stronger limit than previous measurements [8,11,12]. The full benefit of this boost may only become visible when analyzed in the full SME including operators of higher mass dimension.…”

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confidence: 48%

“…(2). Since the first experiment by Ives and Stilwell [5], which was performed at β = 0.005 and resulted in |α| ≤ 10 −2 , several IS experiments have been performed with ever increasing sensitivity [7][8][9][10][11]. So far, the most accurate measurement employed saturation spectroscopy on 7 Li + ions stored at β = 0.03 and β = 0.064 in the Heidelberg heavy ion storage ring (TSR) and resulted in |α| ≤ 8.4 × 10 −8 [11].…”

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confidence: 99%

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Test of Time Dilation Using StoredLi+Ions as Clocks at Relativistic Speed

et al. 2014

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We present the concluding result from an Ives-Stilwell-type time dilation experiment using 7Li+ ions confined at a velocity of β=v/c=0.338 in the storage ring ESR at Darmstadt. A Λ-type three-level system within the hyperfine structure of the 7Li+3S1 →3P2 line is driven by two laser beams aligned parallel and antiparallel relative to the ion beam. The lasers' Doppler shifted frequencies required for resonance are measured with an accuracy of <4×10(-9) using optical-optical double resonance spectroscopy. This allows us to verify the special relativity relation between the time dilation factor γ and the velocity β, γ√1-β2=1 to within ±2.3×10(-9) at this velocity. The result, which is singled out by a high boost velocity β, is also interpreted within Lorentz invariance violating test theories.

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confidence: 48%

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confidence: 99%

Test of Time Dilation Using StoredLi+Ions as Clocks at Relativistic Speed

et al. 2014

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“…c) compared the calculated value of the transverse Doppler shift with that measured according to (21); d) concluded by stating that the theoretical predictions agree with experimental results within measurements precision 4 .…”

Section: Appendix: Ives and Stilwell Experimentsmentioning

confidence: 80%

Experiment and theory: the case of the Doppler effect for photons

Giuliani¹

2013

Eur. J. Phys.

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In 1907, Einstein suggested an experiment with flying atoms for corroborating time dilation. In that paper, the flying atom was conceived as a flying clock: the reference to the Doppler effect was only indirect (the experiments by Stark to the first order of v/c). In 1922, Schrödinger showed that the emission of a light quantum by a (flying) atom is regulated by the conservation laws of energy and linear momentum. Therefore, the Doppler effect for photons is the consequence of the energy and momentum exchange between the atom and the photon: a central role is played by the quantum energy jump ∆E of the transition (a relativistic invariant). The first realization of the experiment devised by Einstein is due to Ives and Stilwell (1938). Since then till nowadays experiments of this kind have been repeated in search of better precision and/or a deviation from the predictions of special relativity. The striking feature is that all the papers dealing with these experiments completely neglect Schrödinger's dynamical treatment. The origins of this omission are of different kind: pragmatic (agreement between formulas, wherever coming from, and experiments), historical (deep rooting of the wave theory of light) and epistemological (neglect of basic epistemological rules). pacs 03.30.+p 01.65.+g

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“…a e-mail: egas@pacbell.net experimenters found an upper limit for the Mansouri-Sexl parameterâ = 2 · 10 −4 . Yet, S. Devasia claims a Lorentz violation of the order of β 2 , which is clearly falsified by existent experiments [2,3]. Such huge violations as implied by S. Devasia would have been detected.…”

Section: Commentmentioning

confidence: 95%

“…An experiment of D. W. MacArthur [3] using a hydrogen beam with a β = 0.84 is one of the few really high β experiment. With the fourth harmonic of a Nd:YAG laser (E 0 = 4.66 eV) the fast hydrogen beam is excited from the ground state 1s to state np by using the Doppler effect.…”

Section: Commentmentioning

confidence: 99%

Comment on: “Lorentz violation in high-energy ions” by Santosh Devasia

Sfarti

2011

Eur. Phys. J. C

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We analyze a recent letter submitted by S. Devasia to EPJ C. CommentIn volume 69 of EPJ C S. Devasia argues [1] that all prior measurements done in the reenactments [2] of the IvesStilwell experiment are incorrect. The EPJ C letter first argues that the emitter frequency could differ from the reference frequency due to the Stark and/or Zeeman effects, but then it completely ignores those effects, and pretends to compute a shift from the Doppler effect, based on the baseless premise that the observed frequency in the lab frame equals the reference frequency for the ion at rest. This is incorrect since even the author admits that the frequencies of emitted radiation undergoes relativistic Doppler effect.An experiment of D. W. MacArthur [3] using a hydrogen beam with a β = 0.84 is one of the few really high β experiment. With the fourth harmonic of a Nd:YAG laser (E 0 = 4.66 eV) the fast hydrogen beam is excited from the ground state 1s to state np by using the Doppler effect. TheThe online version of the original article can be found under doi:10.1140/epjc/s10052-010-1437-9. a e-mail: egas@pacbell.net experimenters found an upper limit for the Mansouri-Sexl parameterâ = 2 · 10 −4 . Yet, S. Devasia claims a Lorentz violation of the order of β 2 , which is clearly falsified by existent experiments [2,3]. Such huge violations as implied by S. Devasia would have been detected. In light of the above, the published letter is false.Open Access This article is distributed under the terms of the Creative Commons Attribution Noncommercial License which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited. 282-285 (1986)

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Test of the special-relativistic Doppler formula atβ=0.84

Cited by 30 publications

References 9 publications

Test of Time Dilation Using StoredLi+Ions as Clocks at Relativistic Speed

Test of Time Dilation Using StoredLi+Ions as Clocks at Relativistic Speed

Experiment and theory: the case of the Doppler effect for photons

Comment on: “Lorentz violation in high-energy ions” by Santosh Devasia

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