The present paper discusses the relativistic Doppler effect and tries to found misunderstandings in the present state of the Special theory of relativity. The author's conclusion that he found some “blue shift” which contradicts with time dilation is wrong.
The weakest feature of the paper is that although the formulas, presented by authors, are in general correct, but they do not support the conclusions the author extract from them, and mistake is hidden in the interpretation.
Let's focus on the plane waves.
In general, the transverse Doppler effect, as it is studied in the available literature, means that an observer (let's call him the 1st observer), that receive an electromagnetic wave from a distant source, moving relative to the
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In case of author considerations, they are measured by different observers, situated at different reference frames. If one wants to use 2nd observer to find the Doppler effect, for 2nd observer, his β=β₂=0, and his α'=α, formulas (1)-(2) will give ν'=ν₂'=ν. So there is no frequency shift for the 2nd observer. (as it should be for him, being in rest with the source).
For the 1st observer, substituting the β and α'=π/2 will give correct result: ν'=ν/γ, where γ=1/(sqrt(1-v²/c²)).
One should not mix this two cases, as the author does.
Let's look to the author's arguments, why one should use α=π/2 rather than α'=π/2 to define transverse Doppler effect. The author calls α as the proper angle and α' as apparent angle, in the analogy with the term "proper" length. This analogy seems to be not applicable. The "proper" length is the length of an item, measured in rest with this item. The term "apparent" length is for the length of an item, measured by another observer, moving relative to the item.
For the angle between two items, it is not obvious, relative to what part of the system the observer should be in rest, in order to measure the angle to call the angle as "proper" angle.
The author's idea, that using α=π/2 in order to compare with classical Doppler effect, also does not hold water, as in the classical theory
In longitudinal waves the object doesn’t exactly follow the waves fully instead the object moves in a back and forth motion while the waves continues to move forward through the object. While in transverse waves the object doesn’t follow the waves as well and just moves up and down in the same position.
which the velocity is changing. Thus, when you look at the position of the dot at times shortly
She is most notable for providing a great deal of compelling evidence, alongside Dr. Kent Ford, that proved Fritz Zwicky’s Theory of the existence of Dark Matter.2 Zwicky stated that individual galaxies within the Coma Cluster were moving so fast that if they were only held by the gravity of its visible mass that it would escape. Since he found no evidence of the cluster falling apart he concluded that there must be something else holding it together that was nearly 10 times that of visible matter, he called this Dark matter.2 While working with Dr. Ford, they began analyzing the light coming from stars in spiral galaxies. They used what is called the “Doppler effect” which states the wavelength shift is proportional to the speed of the light source relative to the observer. This uses the wavelength of light in how it is approaching or moving away from the observer. When a light source moves away from you it presents a red color and when it comes toward you it presents a blue light. After measuring several stars in different parts
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Picotech.com. (2017). Science experiment: Doppler effect in air. [online] Available at: https://www.picotech.com/library/experiment/doppler-effect [Accessed 20 Jan.
HS-PS4-1. Use mathematical representations to support a claim regarding relationships among the frequency, wavelength, and speed of waves traveling in various media
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(Frova 41) Galileo’s confirmation of Copernican’s heliocentric theory explained through logical arguments and mathematical laws clearly the answers to these difficulties.
Cosmological redshift is the lengthening of light waves due to the expansion of space whereas the Doppler shift is light or sound waves that are shortened or lengthened because the object is moving closer or farther away from you. These two types of shift differ because in cosmological redshift the space between the observer and the object is being stretched and in the case of Doppler shift the object itself is actually moving closer or farther
In scrutiny, A in A Place Beyond Time appears to breed the idea of time in any place any where, albeit inaccurate. Which place? True, however, that the use of A allows for intrigue and mystery. In any other circumstance, other than specificity, the use of A is better. Perhaps, through the use of a, the title indeed attempts to capture suspense and mystery to represent the obscure connections of space and time in the abstract. That of which it effectively executes. The course title, nevertheless, does not zero in on specificity and detachment from generic description.