Conventionality of synchronisation, gauge dependence and test theories of relativity

Anderson, Ronald E.; Vetharaniam, I.; Stedman, Geoffrey

doi:10.1016/s0370-1573(97)00051-3

Cited by 132 publications

(150 citation statements)

References 140 publications

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“…When the disk is at rest this radius coincides with R 0 , the one of the cylindrical world tube representing the contour of the platform. When the disk rotates the curvature radius changes according to (5), but the same change intervenes to the meter sticks the experimenter uses, then the final numerical result remains the same as in the static case.…”

Section: Discussionmentioning

confidence: 89%

“…One approach (see for instance Dieks [4] and the many earlier references quoted in Anderson, Vetharaniam and Stedman [5]) is based on the consideration that any small portion of the circumference, seen by the inertial observer, is Lorentz contracted. Consequently, when adding up all of these segments, the whole moving circumference should appear to the said observer as being Lorentz contracted too:…”

Section: A the Inertial Observermentioning

confidence: 99%

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Tartaglia

1999

Foundations of Physics Letters

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The paper treats the issue of the length of a rotating circumference as seen from on board the moving disk and from an inertial reference frame. It is shown that, properly defining a measuring process, the result is in both cases 2πR thus dissolving the Ehrenfest paradox. The same holds good when considering that, for the rotating observer, the perceived radius coincides with the curvature radius of a space-time helix and a complete round trip corresponds to an angle which differs from the one seen by the inertial observer.The apparent contradiction with the Lorentz contraction is discussed.

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Section: Discussionmentioning

confidence: 89%

Section: A the Inertial Observermentioning

confidence: 99%

Untitled

Tartaglia

1999

Foundations of Physics Letters

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“…There are both an experimental confirmation [2,3], [4][5][6] and a recent, very nice theoretical proof [7] , for the case of light (electromagnetic) clocks under constant acceleration. In the current paper we set to extend Fletcher's proof to non-light clocks.…”

Section: Introduction: the Lagrangian Methods Applied To Radial Motionmentioning

confidence: 93%

General Clocks and the Clock Hypothesis

Sfarti¹

2017

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Abstract. The present paper extends a previous proof of the Clock Hypothesis from the case of light clocks to clocks realized from oscillating massive particles. We also extend the study from the case of clocks undergoing constant proper acceleration to the case of clocks undergoing variable proper acceleration. We transformed the problem into one of general relativity and we applied the EulerLagrange formalism, thus providing a straightforward tool in solving this class of problems.

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“…Both interpretations give identical results except in the case of rotational motion. This underlines the importance of experiments involving rotational motion, because they may be capable to decide between the Einstein and Lorentz-Poincare theory [6].…”

mentioning

confidence: 83%

Resolution of the Ehrenfest Paradox in the Dynamic Interpretation of Lorentz Invariance

Winterberg

1998

Zeitschrift Für Naturforschung A

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In the dynamic Lorentz-Poincare interpretation of Lorentz invariance, clocks in absolute motion through a preferred reference system (resp. aether) suffer a true contraction and clocks, as a result of this contraction, go slower by the same amount. With the one-way velocity of light unobservable, there is no way this older pre-Einstein interpretation of special relativity can be tested, except in cases involving rotational motion, where in the Lorentz-Poincare interpretation the interaction symmetry with the aether is broken.In this communication it is shown that Ehrenfest's paradox, the Lorentz contraction of a rotating disk, has a simple resolution in the dynamic Lorentz-Poincare interpretation of Lorentz invariance and can perhaps be tested against the prediction of special relativity.

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Conventionality of synchronisation, gauge dependence and test theories of relativity

Cited by 132 publications

References 140 publications

Untitled

Untitled

General Clocks and the Clock Hypothesis

Resolution of the Ehrenfest Paradox in the Dynamic Interpretation of Lorentz Invariance

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