Measurement of acoustical second‐order Doppler effect as an introductory experiment to special relativity

1978 ◽  
Vol 46 (3) ◽  
pp. 211-213
Author(s):  
D. Schiel ◽  
J. Slaets ◽  
S. Mascarenhas
Keyword(s):  
Special Relativity ◽  
Doppler Effect ◽  
Second Order

IMPROVED TESTS OF SPECIAL RELATIVITY VIA LIGHT SPEED ANISOTROPY MEASUREMENT

2010 ◽  
Vol 25 (02) ◽  
pp. 125-133
Author(s):  
A. SFARTI
Keyword(s):  
Special Relativity ◽  
Doppler Effect ◽  
Second Order ◽  
Test Theory ◽  
Current Paper ◽  
Order Effects ◽  
Theory Of Relativity ◽  
Light Speed ◽  
Prior Literature ◽  
Anisotropy Measurement

The Mansouri–Sexl theory is a well-known test theory of relativity. In the following paper we demonstrate a novel way of detecting second-order effects in terms of both lab and ion speed for light speed anisotropy detection. Prior literature15,18–21 has shown the way of constraining the Mansouri–Sexl parameter "a" via the Ives–Stilwell experiment, however, the prior approaches have proven to be incomplete in managing to constrain only one parameter, the "a" parameter. In the current paper we will take the unprecedented step of reconstructing the Mansouri–Sexl formalism for the Ives–Stilwell experiment and by showing how to improve on the theoretical and experimental bases such as to constrain both the parameter "a" and the parameter "b". Our paper is organized as follows: in the first section we give a new and more complete derivation of the Mansouri–Sexl Doppler effect. In the second part, we apply the newly expanded Mansouri–Sexl Doppler formalism in order to revise the principles of the Ives–Stilwell experiment. We continue by showing how the revised experiment is to be used in order to constrain both the parameter "a" and the parameter "b" in a measurement of light speed isotropy. This turns the Mansouri–Sexl Ives–Stilwell experiment into a very powerful tool for constraining light speed anisotropy.

scholarly journals Controlled Double-Jet Mixing of Light Speeds in the Trigonometric Realm

2018 ◽  
Vol 10 (1) ◽  
pp. 53
Author(s):  
Jiri Stavek
Keyword(s):  
Special Relativity ◽  
Light Beam ◽  
Doppler Effect ◽  
Michelson Interferometer ◽  
Rotating Disk ◽  
Rotating Disks ◽  
Jet Mixing ◽  
Null Result ◽  
Michael Faraday ◽  
Light Beams

We were inspired by three great concepts: 1. Pythagorean means, 2. Pierre de Fermat´s principle of the least time, 3. Michael Faraday´s concept of vibrating rays in longitudinal and transverse directions. We have formulated an extended Doppler formula for rectilinear motions in the absolute spacetime where both postulates of the special relativity are valid. The second postulate of the special relativity for rectilinear motions was derived as the harmonic mean speed based on the Pythagoras-Fermat-Faraday (PF2) model. The null result of the Michelson-Morley experiment is valid for the arms of that interferometer separated by the angle π/2. However, for the angles smaller than π/2 a predicted fringe shift should be observed. For the circular motions the Doppler formula combines the longitudinal and transverse speeds in such a way that the frequency of the rotating light beam is diluted by a factor [1-(v/c)2]0.5 and the wavelength of that light beam is extended by the same factor. The Doppler formula for light beams can be tested for the rotating source and the detector placed close to the rim of that rotating disk in a defined position. In order to obtain new experimental data we propose to construct the Michelson-Morley-Harress-Sagnac interferometer where rotating disks have being attached to both arms of the Michelson interferometer. In rotating disks we might prepare light beams with defined independent values of their longitudinal speeds and after the mixing of these two light beams on their return path to the detector we might observe predicted fringe shifts. In these circular paths the second postulate of the special relativity is not valid. The full composition of Doppler formula is given by the interplay of the macro Doppler effect (the relative motion of the source and observer) and the micro Doppler effect (the combination of the longitudinal and transverse vibration speeds of that oscillating particle – the elasticity of the photon wave).

scholarly journals Eternalism and Perspectival Realism About the ‘Now’

2020 ◽  
Vol 50 (11) ◽  
pp. 1398-1410
Author(s):  
Matias Slavov
Keyword(s):  
Special Relativity ◽  
Doppler Effect ◽  
Electromagnetic Spectrum ◽  
Lorentz Transformations ◽  
Extended Self ◽  
Current Alternative ◽  
The Doppler Effect ◽  
Perspectival Realism

AbstractEternalism is the view that all times are equally real. The relativity of simultaneity in special relativity backs this up. There is no cosmically extended, self-existing ‘now.’ This leads to a tricky problem. What makes statements about the present true? I shall approach the problem along the lines of perspectival realism and argue that the choice of the perspective does. To corroborate this point, the Lorentz transformations of special relativity are compared to the structurally similar equations of the Doppler effect. The ‘now’ is perspectivally real in the same way as a particular electromagnetic spectrum frequency. I also argue that the ontology of time licensed by perspectival realism is more credible in this context than its current alternative, the fragmentalist interpretation of special relativity.

Tests of special relativity using the Doppler effect

1976 ◽  
Vol 64 (2) ◽  
pp. 281-283 ◽  
Author(s):  
D.G. Ashworth ◽  
P.A. Davies
Keyword(s):  
Special Relativity ◽  
Doppler Effect ◽  
The Doppler Effect

Observation of a Motional Stark Effect to Determine the Second-Order Doppler Effect

2002 ◽  
Vol 89 (20) ◽  
Author(s):  
G. Hagel ◽  
R. Battesti ◽  
F. Nez ◽  
L. Julien ◽  
F. Biraben
Keyword(s):  
Doppler Effect ◽  
Stark Effect ◽  
Second Order ◽  
Motional Stark Effect

Special relativity experiments explained from the perspective of the rotating frame

2019 ◽  
Vol 34 (31) ◽  
pp. 1950255
Author(s):  
A. Sfarti
Keyword(s):  
Special Relativity ◽  
Doppler Effect ◽  
Clock Synchronization ◽  
Length Measurement ◽  
Rotating Frame ◽  
Rotating Platform ◽  
New Approach ◽  
Rotor Experiment ◽  
Rotating Frames ◽  
The Doppler Effect

In this paper, we present an explanation of several fundamental tests of special relativity from the perspective of the frame co-moving with a rotating observer. The solution is of great interest for real-time applications because Earth-bound laboratories are inertial only in approximation. We present the derivation of the Sagnac, Michelson–Morley, Kennedy–Thorndike and the Hammar experiments as viewed from the Earth-bound uniformly rotating frame or, as in the case of the Mossbauer rotor experiments, from the perspective of the rotating device. An entire section is dedicated to length/time measurement and to clock synchronization and another one to the Doppler effect and aberration on uniformly rotating platforms. This paper brings new information in the following areas: – new approach for clock synchronization on a rotating platform – new approach for length measurement in rotating frames – new explanation of the Doppler effect and of the Mossbauer rotor experiment – new explanation of the Kennedy–Thorndike experiment. The main thrust of this paper is to give a consistent explanation of various tests of special relativity as judged from the perspective of the rotating frame of the experimental setup. In addition, we correct certain misconceptions relative to clock synchronization and length measurement that have survived a long time in the specialty literature. A special chapter is dedicated to the derivation of the Doppler effect and of aberration in rotating frames. It is shown that such derivation is far from being trivial.

scholarly journals Prüfung der Zeitdilatation mit Hilfe des Mößbauer-Effektes

1966 ◽  
Vol 21 (7) ◽  
pp. 867-869
Author(s):  
H. Hönl ◽  
F. Bennewtz
Keyword(s):  
Doppler Effect ◽  
Mechanical Stability ◽  
Second Order ◽  
Rotational Motions ◽  
Generally Covariant

A Lorenz-invariant treatment of the second order DOPPLER effect in rotational motions is given. The calculation is then performed in a generally covariant manner. Experimental consequences concerning the mechanical stability of clocks are discussed, and attention is drawn to a possible refinement of the rotational experiments.

Compensation of the Second-Order Doppler Effect in Two-Photon Spectroscopy of Atomic Hydrogen

1991 ◽  
Vol 15 (8) ◽  
pp. 831-836 ◽  
Author(s):  
F Biraben ◽  
L Julien ◽  
J Plon ◽  
F Nez
Keyword(s):  
Doppler Effect ◽  
Atomic Hydrogen ◽  
Second Order ◽  
Two Photon
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