Measurements of relativistic time dilatation for positive and negative muons in a circular orbit

Bailey, J. M.; Borer, K.; Combley, F.; Drumm, H.; Krienen, F.; Lange, Friedrich; Picasso, E.; Rüden, W. von; Farley, F. J. M.; Field, J. H.; Flegel, W.; Hattersley, P. M.

doi:10.1038/268301a0

Cited by 243 publications

(174 citation statements)

References 30 publications

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“…There are even strong indications, at least in the case of F 1 , that the dependence on acceleration is totally absent [2]. All this is however unimportant for our present purposes, because the results obtained below hold for all possible functions F 1 and F 2 .…”

Section: Space and Time On A Rotating Platformmentioning

confidence: 53%

Noninvariant one-way speed of light and locally equivalent reference frames

Selleri

1997

Found Phys Lett

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We consider an isotropical inertial reference frame ("stationary") and in it a uniformly rotating circular platform of radius R. The velocity of light ˜ c relative to the rim of the platform is calculated and found to have values necessarily different from c. This ˜ c remains the same if R is increased but the peripheral velocity is kept constant. Since by so doing any small piece of the circumference can be considered better and better at rest in a ("moving") inertial system, the velocity of light relative to this system can be deduced. Noninvariant values are obtained and shown to coincide with the predictions of our recently published "inertial transformations".

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Section: Space and Time On A Rotating Platformmentioning

confidence: 53%

Noninvariant one-way speed of light and locally equivalent reference frames

Selleri

1997

Found Phys Lett

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“…Einstein time dilation formula was verified by several experiments [14]- [17]. In W. Kündig experiment the absorber was exposed to a significant acceleration.…”

Section: Introductionmentioning

confidence: 92%

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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“…(3.3) Using the finite ( 0) character of the hyperreal numbers being considered, then the standard part of (3.2) and (3.3) yields that st(*rm) rm st( %/ *3') rs/3'. This is the exact expression that appears in [1], where the 3' that appears in [1] is the reciprocal of the 3' used in the above derivation. The rs can always be taken as the time of decay as measured at rest in the laboratory since the relative velocity of the radioactive entities is determined by experimental equipment that is at rest in the laboratory.…”

Section: 2)mentioning

confidence: 99%

“…In [7], with the exception of relativistic alterations in the lifetime of radioactive material, all of the major special theory relativistic alterations in measured quantities are obtained from the linear effect line element without the introduction of Einstein The main purpose of this paper is to present a derivation of the linear effect line element using substratum theory and to use the methods in [7] to predict the experimentally verified [1] relativistic alteration in radioactive decay time.…”

Section: Introductionmentioning

confidence: 99%

An operator equation and relativistic alterations in the time for radioactive decay

Herrmann¹

1996

International Journal of Mathematics and Mathematical Sciences

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ABSTRACT. In this paper, using concepts from the nonstandard physical world, the linear effect line element is derived. Previously, this line element was employed to obtain, with the exception of radioactive decay, all of the experimentally verified special theory relativistic alterations in physical measures. This line element is now used to derive, by means of separation of variables, an expression that predicts the same increase in the decay time for radioactive material as that predicted by the Einstein time dilation assumption. This indicates that such an increase in lifetime can be attributed to an interaction of the radioactive material with a nonstandard electromagnetic field rather than to a basic time dilation.

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Measurements of relativistic time dilatation for positive and negative muons in a circular orbit

Cited by 243 publications

References 30 publications

Noninvariant one-way speed of light and locally equivalent reference frames

Noninvariant one-way speed of light and locally equivalent reference frames

Testing Einstein's time dilation under acceleration using Mössbauer spectroscopy

An operator equation and relativistic alterations in the time for radioactive decay

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