Relativistic Doppler Effect And The Misunderstandings Of Special Theory Of Relativity

998 words - 4 pages

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 observer, will measure the wave frequency ν'=ν/γ, where γ=1/(sqrt(1-β²)), β²=u²/c², provided that the angle between the wave direction and the vector of the motion of the source, measured by the observer, is equal to π/2 (α'=π/2). So the light from moving source is red-shifted. It is generally treated as a pure effect of the special theory of relativity, and is due to the time dilation. Indeed, the observer can treat the wave crests as a clock, and the decrease of it's frequency is the actual time dilation. This effect is called as pure relativistic, as it is absent in the classical theory. It is quite clear and well-known fact in the special relativity. Note, that the distance between source and the 1st observer does not change in time, while being measured by the 1st observer.

All the issues, raised by the author, are due to the fact, that the author decided not to use α', but α as an angle, that is equal to π/2, in order to define transverse Doppler effect. It is obvious, that α is the angle between the wave direction and the relative motion of the 1st observer and source, but measured by another observer (let's call him 2nd observer). The 2nd observer in the rest with the light source. Then author substitutes α=π/2 to the formulas (1)-(2) and obtain a "blue" shift. The mistake of the author is that the formulas (1)-(2) are valid only if both the vector of the source motion (u, and β), and the angle between this vector and and wave direction (α'), are measured by the same observer. 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...

Find Another Essay On Relativistic Doppler Effect and the Misunderstandings of Special Theory of Relativity

The Creator of Relativity Essay

1036 words - 4 pages differently, leading to the belief that speeds could be added together, and that gravity was based on mass and distance. Einstein theorized that energy and mass were interchangeable, leading to his revision of the theory of relativity. Due to Einstein’s creative insights into the world of physics, the perspective of the world changed relative to light. Einstein was surrounded by science, so he developed a passion for math and physics during his early

Assimilation: The Drawbacks of Cross-Cultural Misunderstandings

1575 words - 6 pages American doctor could help. Sadly, by the time they arrived at the hospital the seizures had ended and there was no interpreter available at that time, so the Lees had no form of communication to inform the doctors of what had just occurred (Fadiman 26). Therefore, the diagnosis given to her parents was incorrect and was originated by the language barrier. This helps enhance Fadiman’s argument that the cross-cultural misunderstandings were the

The Relativity of Ethical Issues

1394 words - 6 pages complete understanding, or a more comprehensive viewpoint. Many scientists talk about claims being true, e.g., it is true that heparin increases the clotting time of blood. Karl Popper pointed out; science does not progress on the backs of truths, but rather, on the backs of falsifications. A good scientist does not attempt to prove his claim to be true. He tries and proves his theory false. He starts with the illogical hypothesis: If theory X

Misunderstandings of a Foreigner in American Culture

1663 words - 7 pages country, and my finances narrowed it down to the first choice. In addition to my little blunders with American small talk, I also had quite a few instances of misunderstandings, and it certainly was not because my English wasn't fluent! I could tell you about the time I had an enticing little talk with a seriously cute guy who threw me a "I'll call you later" at the end of the conversation. Dummy me, sat by the phone the rest of the evening

How McBeth views the relativity of things in the play.

792 words - 3 pages Reality is SubjectiveIn the play Macbeth, by William Shakespeare, the author is determined to present a character internally torn and tragically flawed. Macbeth, the central character in the play, and a relatively good man, is told the future by three witches. His comprehension of what the future was could have affected his way of thinking. The actions that followed the predictions of the future seem to be an effect of predictions themselves

Special Interest Group The Perception and Rights of High School

1187 words - 5 pages Special Interest Group The Perception and Rights of High School Students As far back as anyone can remember there have been judgements made against teenagers in high school. Although some of these judgements may be true a lot of them are false. Many people think that because they know or have heard of one teen dying from drug use, or a girl who left her newborn in a dumpster that that is what all teenagers are doing. My hope is to prove that

Relativity of Labeling Genetically Engenineered Products

1268 words - 5 pages Introduction This report will explain the current status of Lazar Sharipoff’s final report to Richard A. Durst, the chairman of the Food Advisory Committee for the Food and Drug Administration (FDA). This status report includes the relativity of labeling Genetically Engineered (GE) products to Richard, who the stakeholders are, disagreements among experts on GE products. The most interesting information Lazar has found so far, and what

The University of Arizona Special Collections Website

1449 words - 6 pages University of Arizona Special Collections to determine whether it succeeds in meeting these necessary criteria and providing an engaging experience for their community of users. The initial site of the University of Arizona Special Collections webpage ( is laid out very simply with a statement of who the repository is and what they do, a photograph and a description of the exhibit currently being featured in the

The Special Successful Pattern of Urban Outfitters

4860 words - 19 pages , including making mass goods, furnishing similarly or advertising in a large amount etc. Urban Outfitters dares to be out of the common, puts out it the different goods, different shop, and does not advertise. Its achievement is out of the common too. Urban Outfitters has written out its own successful equation by unique management tactics.2. The special pattern of Urban Outfitters2.1 The various fashion goodsOn the highly competitive market of

History of Special Education

1216 words - 5 pages disabled child at home, either with no teaching or with a private tutor. The best example of this would be Anne Sullivan with Helen Keller. From keeping the disabled at home, the next step was institutions, although I am not sure you can classify this as special education since very little education was actually being done. The primary purpose of these institutions was to protect these individuals from society, and society from these individuals

History of Special Education

1540 words - 6 pages History of Special Education Introduction Special education has faced many changes during the last century. During this time there have been many opinions on the way students with differences should be taught and treated. This paper will discuss the history of special education during the twentieth century. We will also discuss the laws associated with Individuals with Disabilities Education Act (IDEA). Finally we will discuss the current and

Similar Essays

Albert Einstein's Theory Of Special Relativity

2100 words - 8 pages Albert Einstein's Theory of Special Relativity The theory of Special Relativity, written by Albert Einstein in 1905, describes the laws of motion at velocities close to and at the speed of light. It was written to make the laws of motion consistent with the laws of electromagnetism. Special relativity makes two postulates: the laws of physics are the same for all non-accelerating observers and the speed of light in a vacuum is constant

Time Travel: The Theory Of Relativity

1921 words - 8 pages process would attempt to duplicate matter and energy already existing in the past, thereby violating the law of conservation and other principles of physics. Moving forward, we will examine a scenario that demonstrates the paradox’s effects. An Einstein Problem Suppose 1950 is the present, and physicist Albert Einstein secretly invented a time machine in 1949 shaped like a British telephone box and christened the “Time-Dial.” Whether the machine

Einsteins Theory Of Relativity, Basic Essay

2497 words - 10 pages theory came when, as a boy of fourteen, he wondered what the world would look like if he could ride on a beam of light.' (Albert Einstein)1.2 Ljusets hastighet för olika iakttagare· En pistolkula som avlossas framåt från en bil i rörelse får högre hastighet relativt marken än om bilen står stilla. Kulans hastighet kommer i detta fallet att bli lika med kulans utgångshastighet plus bilens

The Doppler Effect Essay

664 words - 3 pages The Doppler Effect Christian Johann Doppler, born November 29, 1803 in Salzburg, Austria died March 17, 1853 in Venice. Christian Doppler an Austrian Physicist who first described how the detected frequency of light and sound waves is affected by the relative motion of the source and the detector. This aspect became known as the Doppler Effect. Christian was educated at the Polytechnical Institute in Vienna. Doppler became