Time dilation, length contraction

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Discussion Overview

The discussion revolves around the concepts of time dilation and length contraction in the context of special relativity, exploring whether observed effects can be explained through Newtonian mechanics or the finite speed of light. Participants examine thought experiments, potential measurements, and the implications of these phenomena in various scenarios.

Discussion Character

  • Exploratory
  • Debate/contested
  • Mathematical reasoning
  • Conceptual clarification

Main Points Raised

  • Some participants question whether observed length contraction differs from effects due to the time it takes for light signals from different parts of an object to reach an observer, suggesting a Newtonian explanation might suffice.
  • Others argue that the meaning of length contraction in special relativity is distinct and must be measured by local observers, emphasizing that Lorentz transformations yield true effects independent of light's finite speed.
  • A participant notes that for rapidly moving objects, length contraction may not be directly observable, leading to apparent rotation instead, referencing the Penrose-Terrell rotation effect.
  • Concerns are raised about the experimental verification of length contraction and time dilation, with some participants suggesting that thought experiments may not reflect actual observations.
  • One participant proposes that the differences in light travel time for various parts of an object could lead to a misunderstanding of length contraction, suggesting that a single time frame might be produced by special relativity transformations.
  • There is mention of the need to differentiate between Newtonian and relativistic Doppler shifts, particularly in the context of objects moving at relativistic speeds.

Areas of Agreement / Disagreement

Participants express a range of views, with no consensus on whether length contraction can be fully explained by Newtonian mechanics or if it is a distinct relativistic effect. The discussion remains unresolved regarding the experimental validation of these concepts.

Contextual Notes

Participants highlight limitations in understanding due to the dependence on definitions and the complexities of measuring relativistic effects. The discussion reflects various assumptions about the nature of light and observation in relativistic contexts.

gtw
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Has it been shown that observed length contraction that occurs due to high relativistic speeds is any different from that that appear due to the additional time it take a signal from the trailing edge of object (as opposed to the leading edge) to reach an observer? If not, then obviously a Newtonian explanation could be given for why length contraction would appear to occur.

If not, then special relativity (as far as observation) simply is making non-simultaneous events appear to be occurring at the same time (such as treating information coming from a leading and trailing edge of an object as appearing in the same time frame).

This would of course explain why the object itself doesn't "feel" the contraction. Thus, there would be no paradoxes, simply poor explanations.

Also, has any experiment been done where a fixed observer watches a signal being emitted by a "very fast" rotating disk emitting signals from points tangential to the observer? If there were any differences in the speed of light from these points, they, in addition to color shift, would have slightly different arrival times? The Michelson-Morley experiment doesn't apply since the mirrors are fixed with the observer. The Sagnac experiment located the observer on the rotating disk, so it doesn't apply either.

Thank you
 
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gtw said:
Has it been shown that observed length contraction that occurs due to high relativistic speeds is any different from that that appear due to the additional time it take a signal from the trailing edge of object (as opposed to the leading edge) to reach an observer? If not, then obviously a Newtonian explanation could be given for why length contraction would appear to occur.

If not, then special relativity (as far as observation) simply is making non-simultaneous events appear to be occurring at the same time (such as treating information coming from a leading and trailing edge of an object as appearing in the same time frame).

This would of course explain why the object itself doesn't "feel" the contraction. Thus, there would be no paradoxes, simply poor explanations.


The meaning of length contraction in SR is very clear and has nothing to do with the finite speed of light. To emphasize this, good books make it clear that the length of a moving rod must be measured by local observers which observe events taking place right in front of them in order to avoid having to worry with the fact that light propagates at a finite speed. When you find a length contracted result [itex]\Delta L = \Delta L / \gamma[/itex] using Lorentz transformations the result refers to observations made by local observers. so it's a true effect, not something due to the finite speed of light (in other words, two observers are involved in measuring the length of a moving rod). If there is a single observer, an additional effect due to the finite speed of light has to be taken into account as you mentioned, but this would be on top of the length contraction given by Lorentz transformations.

unfortunately, many teachers do not make this clear which leads to much confusion.
 
gtw said:
Has it been shown that observed length contraction that occurs due to high relativistic speeds is any different from that that appear due to the additional time it take a signal from the trailing edge of object (as opposed to the leading edge) to reach an observer? If not, then obviously a Newtonian explanation could be given for why length contraction would appear to occur.
To deduce length contraction based on observations, one must of course take into account the travel time of the light.
If not, then special relativity (as far as observation) simply is making non-simultaneous events appear to be occurring at the same time (such as treating information coming from a leading and trailing edge of an object as appearing in the same time frame).
It turns out that for a rapidly moving object, length contraction would not be directly seen, for the reason that you point out. Instead of an apparent contraction, one sees an apparent rotation. (See: Can You See the Lorentz-Fitzgerald Contraction? Or: Penrose-Terrell Rotation.) Of course, if you take into account the fact that light from various parts of the object requires different travel times, then you will deduce the standard length contraction.
 
Has length contraction actually been measured? It seems to me (at first thought) that many of these thought experiments are exactly that: an easy way to think about something, but not actually observed experimentally due to the nature of the thought experiments.

Has the time dilation of the standand candles (pulsing) been shown to NOT match a simple Newtonian Doppler shift explanation of a receding source when traveling near speeds of light? (This is different from showing that sr matches the results.) If that were so the predicted periods would be different.

Also, near the edge of the visible universe, red-shifts showing receding speeds approaching that of light. Do you get different observed relativistic effects there as opposed to those near an event horizon of a black hole? If not, then I would think the edge of the visible universe could be treated something like a singularity itself with nearly parallel diverging force lines instead of converging.
 
I looked at The Ball is Round. It makes a little mention of the difference in time it takes for light at the back of the ball to reach the observer vs. the time at the front. Thus even without sr, a ball will be elongated because at a point in time the visible back of the ball will be further back in time than the front will be.

What is never shown is what the difference is. Perhaps what the sr transformations simply do is to produce a single time frame for the entire ball, thus the length extension for an approaching object. This is my guess and contention.

If this is the case, then all of analogies are unnecessarily confusing. This is all something of a Doppler shift. Showing that in fact a Newtonian (light) Doppler shift of the ball or some object is different from the sr version would be instructive.
 
gtw said:
Showing that in fact a Newtonian (light) Doppler shift of the ball or some object is different from the sr version would be instructive.

Relativistic Doppler Effect
 

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