Violate the principle of relativity?

In summary, the speed of light is dependent on the speed of water flow. This confirms the principle of relativity.
  • #1
tkm2002
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0

Homework Statement


In a water pipe, the light moves in the same direction of the water flow. It is
determined that the speed of light is dependent on the speed of water flow. Does
that violate the principle of relativity?


Homework Equations





The Attempt at a Solution


why the speed of light is dependent?
I know it should not be violate the principle of relativity but I don't know how to explain.
 
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  • #2
You are looking at a famous relativity example.

A distinction must be made between "speed of light (in a given medium)" and "speed of light in a vacuum (the speed limit of the universe)". I call the latter the "information speed limit".

I can suggest some more if you want, but that nugget of info above may be useful to you :).

EDIT: Actually, that is a downright awful attempt at being helpful, let's see if I can do better. You need to know about velocity addition formulae to answer the question. If you have tried all of that to no avail, then the water stuff is known as the fizeau experiment (books and interwebs know all about it)
 
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  • #3
tkm2002 said:
In a water pipe, the light moves in the same direction of the water flow. It is determined that the speed of light is dependent on the speed of water flow. Does that violate the principle of relativity?

Hi tkm2002! :smile:

No, it confirms the principle of relativity …

the v(1 ± 1/n2) formula is what special relativity predicts (by adding or subtracting v, the speed of the water, to c/n, the speed of light in the water) …

see http://en.wikipedia.org/wiki/Fizeau_experiment#Derivation_in_special_relativity" :wink:
 
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  • #4
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  • #5
Special Relativity has a formula for "adding" velocities.

That formula is different from ordinary adding, but it agrees with the results of Fizeau's experiment …

so Fizeau's experiment does not violate Special Relativity, but confirms it.

See that link for details. :smile:
 

1. What is the principle of relativity?

The principle of relativity is a fundamental concept in physics that states that the laws of physics are the same for all observers in uniform motion. This means that the laws of physics are not affected by an observer's frame of reference.

2. How can the principle of relativity be violated?

The principle of relativity can be violated if an observer is not in uniform motion or if there is an external force acting on the system. In these cases, the laws of physics may appear different to the observer compared to other observers in different frames of reference.

3. Can the principle of relativity be proven?

The principle of relativity has been extensively tested and verified through experiments and observations, particularly in the fields of mechanics and electromagnetism. However, it cannot be proven with absolute certainty as it is a fundamental principle in physics.

4. How does the principle of relativity relate to Einstein's theory of relativity?

Einstein's theory of relativity is based on the principle of relativity and extends it to include the effects of gravity. The special theory of relativity deals with objects moving at constant speeds, while the general theory of relativity takes into account the effects of gravity on the motion of objects.

5. Are there any exceptions to the principle of relativity?

There are no known exceptions to the principle of relativity. However, there are situations where it may appear to be violated, such as in quantum mechanics or in extreme conditions like black holes, where the laws of physics may behave differently. But these are still consistent with the principle of relativity.

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