Evidence for length contraction

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Discussion Overview

The discussion revolves around the concept of length contraction in the context of special relativity, with participants seeking examples and evidence of this phenomenon. The scope includes theoretical explanations, potential experimental evidence, and related concepts such as time dilation and the Doppler effect.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • Some participants inquire about examples of length contraction, expressing skepticism about existing examples like muons, which they believe rely more on time dilation.
  • One participant humorously suggests that running fast could make one "thinner," indicating a playful take on the concept.
  • Another participant states that time dilation and length contraction are two descriptions of the same underlying effect, referencing Lorentz transformations.
  • A participant mentions the Doppler redshift of starlight as a potential example of length contraction, but others challenge this by discussing the complexities involved, including time dilation and gravitational effects.
  • Concerns are raised about the lack of direct experimental evidence for length contraction, with one participant noting the technical difficulties in measuring the length of fast-moving objects.
  • Some participants discuss the implications of measurements depending on the observer's frame of reference, suggesting that different measurement methods could yield different results regarding length contraction.
  • A later reply introduces the idea of a long current-carrying wire becoming charged in a moving frame as a direct effect of length contraction.

Areas of Agreement / Disagreement

Participants express a range of views on the existence and evidence of length contraction, with no consensus reached. Some argue that existing examples do not adequately demonstrate length contraction, while others propose various interpretations and examples.

Contextual Notes

Participants highlight the challenges in measuring length contraction experimentally, noting that the measurements depend significantly on the observer's frame of reference and the methods used. There is also mention of the interplay between length contraction and time dilation, which complicates the discussion.

redruM
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would some be able to give me an example that shows some evidence of length contraction?

i have looked at the muons example, but it seem to be dependent on the time dilation effect, rather than being evidence of length contraction.

thanks for any help.:)

much appreciated.

btw, feel free to move this thread, if it isn't in its relevant location.:smile:
 
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If I run real fast for a long time, I will get thinner!

Njorl
 
lol.

hmm...maybe i should try that
 
Time dilation and length contraction occur concurrently. They are, in effect, two ways to describe the same effect. The Lorentz transformations are the "cause" of both effects.

In the case of the muon, you have two choices: you can consider the muon's clock running more slowly than a stationary muon's clock on earth, due to its high velocity.

You can also think that, to the muon, the Earth's atmosphere is length-contracted, making it not so thick and easier to penetrate.

- Warren
 
redruM said:
would some be able to give me an example that shows some evidence of length contraction?
I know, I'm a bit late to answer!
A clear example is doppler red shift of stars light.
 
lightarrow said:
I know, I'm a bit late to answer!
A clear example is doppler red shift of stars light.
Could you explain how that is evidence for length contraction?
The redshift of starlight is a combination of the regular doppler effect adjusted for relativistic time dilation and gravitational time dilation.
 
Last edited:
There is no direct experimental evidence for length contraction, as far as I know. That is, no one has managed to measure the length of a fast-moving object, by measuring the locations of its ends simultaneously in the laboratory reference frame, and get a result that differs from the non-relativistic expectation.

As one might expect, the technical obstacles are rather large. Either you have to make a macroscopically sized object move very very fast, and then figure out how to measure it while it's whizzing past you, or you have to be able to make very very precise measurements on somewhat more slowly moving objects.

I don't consider this to be a problem for the validity of relativity, because length contraction is so tightly bound with other phenomena that we can verify. It sure would be nice to do this, though!
 
redruM said:
would some be able to give me an example that shows some evidence of length contraction?

i have looked at the muons example, but it seem to be dependent on the time dilation effect, rather than being evidence of length contraction.

thanks for any help.:)

much appreciated.

btw, feel free to move this thread, if it isn't in its relevant location.:smile:

Please have a critical look at
arXiv.org > physics > physics/0507016
Search for(Help | Advanced search)
All papers Titles Authors Abstracts Full text Help pages
Physics, abstract
physics/0507016
From: Bernhard Rothenstein [view email]
Date: Sun, 3 Jul 2005 18:04:26 GMT (224kb)

Length measurement of a moving rod by a single observer without assumptions concerning its magnitude
Authors: Bernhard Rothenstein, Ioan Damian
Subj-class: Physics Education

We extend the results presented by Weinstein concerning the measurement of the length of a moving rod by a single observer, without making assumptions concerning the distance between the moving rod and the observer who measures its length.
Full-text: PDF only

where I try to show that there is a length measurement procedure which can lead to length contraction but to length dilation as well.
 
I don't think anyone's ever moved a macroscopic man-made object at anywhere near relativistic speeds.

There is one possibility, though:

The planet Mercury. Mercury is close enough to the sun to show relativistic effects when viewed from earth. The time dilation has been proven; but I don't think anyone's done any research on a corresponding length contraction.
 
  • #10
jtbell said:
There is no direct experimental evidence for length contraction, as far as I know. That is, no one has managed to measure the length of a fast-moving object, by measuring the locations of its ends simultaneously in the laboratory reference frame, and get a result that differs from the non-relativistic expectation.

As one might expect, the technical obstacles are rather large. Either you have to make a macroscopically sized object move very very fast, and then figure out how to measure it while it's whizzing past you, or you have to be able to make very very precise measurements on somewhat more slowly moving objects.

I don't consider this to be a problem for the validity of relativity, because length contraction is so tightly bound with other phenomena that we can verify. It sure would be nice to do this, though!

This is the best answer to date until the penultimate sentence.
The measured length of a moving object depends on how you measure it.
If you use a pre-relativistic (Galilean) notion that an equal time measurement is appropriate, then you get an equal time measurement.
With a light cone measurement, as is fashionable in parton physics or photography, a moving sphere remains a sphere. If you look at a moving sphere, you see a sphere. Some people would consider this a measurement. ("Seein is believin.") The only unambiguous measurement of the length of an object as an intrinsic propert is in its rest system, if you don't look at it from a rotated angle.
 
  • #11
MeJennifer said:
Could you explain how that is evidence for length contraction?
c = nu*lambda. The frequency nu decreases because of time contraction, so the wavelength lambda must increase to keep c at the same value.
This is actually evidence (IMO) for length dilation (lambda), instead of contraction, but the principle is the same.
Of course gravitational redshift must also be taken into account, but, after having considered it, what remains is the doppler effect.
 
  • #12
lightarrow said:
c = nu*lambda. The frequency nu decreases because of time contraction, so the wavelength lambda must increase to keep c at the same value.
This is actually evidence (IMO) for length dilation (lambda), instead of contraction, but the principle is the same.
Of course gravitational redshift must also be taken into account, but, after having considered it, what remains is the doppler effect.

It would make more sense (to me) out of SR if you did have length dilation, and time dilation when talking about things moving faster than our perferred frame of reference, then the change to the meters per second in the speed of light would be the same for both the meter and the second keeping the speed of light proportional relative to the moving observer.

chroot said:
Time dilation and length contraction occur concurrently. They are, in effect, two ways to describe the same effect. The Lorentz transformations are the "cause" of both effects.

In the case of the muon, you have two choices: you can consider the muon's clock running more slowly than a stationary muon's clock on earth, due to its high velocity.

You can also think that, to the muon, the Earth's atmosphere is length-contracted, making it not so thick and easier to penetrate.

You, using length dilation, could think of the muon as increasing in size, which would also explain why the Earth's atmosphere appears to be length contracted to the muon.
 
  • #13
redruM said:
would some be able to give me an example that shows some evidence of length contraction?

i have looked at the muons example, but it seem to be dependent on the time dilation effect, rather than being evidence of length contraction.

thanks for any help.:)

much appreciated.

btw, feel free to move this thread, if it isn't in its relevant location.:smile:
If you have a long straight current carrying wire in frame S and you move to a frame S' which is moving parallel to S then the wire will be come charged. This is a direct effect of length contraction.

Pete
 
  • #14
pmb_phy said:
If you have a long straight current carrying wire in frame S and you move to a frame S' which is moving parallel to S then the wire will be come charged. This is a direct effect of length contraction.

Pete
This effect is because (rho,j) transform as a 4-vector. It has never been observed experimentally as "evidence".
 
  • #15
redruM said:
would some be able to give me an example that shows some evidence of length contraction?
Although the thread has lengthened, the short answer ot your question is that I do believe the equations, but there is no evidence of length contraction.
 

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