General treatment of the Doppler effect in special relativity

1984 ◽  
Vol 52 (4) ◽  
pp. 374-375 ◽  
Author(s):  
Daniel R. Frankl
Keyword(s):  
Special Relativity ◽  
Doppler Effect ◽  
General Treatment ◽  
The Doppler Effect

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

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.

Comment on the Paper “Nonlinear Models for Relativity Effects in Electromagnetism” by S. Devasia, Z. Naturforsch. 64a, 327 (2009)

2009 ◽  
Vol 64 (12) ◽  
pp. 872-873 ◽  
Author(s):  
Andrew Georges
Keyword(s):  
Special Relativity ◽  
Doppler Effect ◽  
Light Propagation ◽  
Nonlinear Models ◽  
Covariant Formulation ◽  
Invariance Properties ◽  
Correct Formulation ◽  
The Doppler Effect ◽  
Physical Consequences

The results by S. Devasia seem to miss the invariance properties of special relativity and of relativistic electromagnetism. Incorrect conclusions are pointed out and the correct ones as well as the physical consequences are presented. These include the covariant formulation of the laws of physics, the correct formulation of the Doppler effect, and of the invariance of light propagation

ON THE THEORY OF THE DOPPLER EFFECT IN A MOVING MEDIUM

1998 ◽  
Vol 13 (01) ◽  
pp. 1-6 ◽  
Author(s):  
BRUNO BERTOTTI
Keyword(s):  
Solar Wind ◽  
Doppler Effect ◽  
Dispersive Medium ◽  
Time Derivative ◽  
Optical Path ◽  
Moving Medium ◽  
Perturbation Theorem ◽  
Hamiltonian Theory ◽  
The Doppler Effect ◽  
Definition Of

The increase in the accuracy of Doppler measurements in space requires a rigorous definition of the observed quantity when the propagation occurs in a moving, and possibly dispersive medium, like the solar wind. This is usually done in two divergent ways: in the phase viewpoint it is the time derivative of the correction to the optical path; in the ray viewpoint the signal is obtained form the deflection produced in the ray. They can be reconciled by using the time derivative of the optical path in the Lagrangian sense, i.e. differentiating from ray to ray. To rigorously derive this result an understanding, through relativistic Hamiltonian theory, of the delicate interplay between rays and phase is required; a general perturbation theorem which generalizes the concept of the Doppler effect as a Lagrangian derivative is proved. Relativistic retardation corrections O(v) are obtained, well within the expected sensitivity of Doppler experiments near solar conjunction.

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