In what direction does length contraction occur?

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Discussion Overview

The discussion revolves around the concept of length contraction in the context of a train moving at relativistic speeds, observed by multiple observers at different velocities. Participants explore how different observers perceive the timing of the train crossing a finish line and the implications for understanding length contraction.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants propose that all observers will agree on the time when the train reaches the finish line, suggesting that length contraction occurs uniformly along the train.
  • Others argue that there is nothing special about the front of the train, and that length contraction can be perceived differently depending on the observer's frame of reference.
  • A later reply questions whether the visualization of contraction from both ends is problematic, indicating a potential misunderstanding of the scenario.
  • Some participants suggest that observers can set their watches to agree on the time any point on the train crosses a designated line, which raises questions about the nature of simultaneity in different frames of reference.
  • One participant expresses confusion about whether contraction is occurring, noting that an observer moving faster relative to the train would perceive less time between events on the train.
  • Another participant asserts that there is always an observed contraction of an object moving relative to the observer, regardless of the specific scenario described.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the nature of length contraction and how it is perceived by different observers. Multiple competing views remain regarding the implications of simultaneity and the interpretation of contraction.

Contextual Notes

The discussion highlights limitations related to the assumptions about simultaneity and the definitions of time and contraction in different reference frames. There are unresolved questions about how observers synchronize their clocks and the implications for their observations of the train.

Flexo
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Consider a train traveling at a relativistic velocity, with three observers. One inside the train, and two outside the train traveling at different velocities with respect to it. Say there is a finish line of sorts at a certain point. All observers will agree when the train reaches the line.

Does this mean that length contraction occurs, in layman's terms, with the back of the object contracting toward the front?
 
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Flexo said:
Consider a train traveling at a relativistic velocity, with three observers. One inside the train, and two outside the train traveling at different velocities with respect to it. Say there is a finish line of sorts at a certain point. All observers will agree when the train reaches the line.

Does this mean that length contraction occurs, in layman's terms, with the back of the object contracting toward the front?

Hi Flexo! :smile:

When the question says "All observers will agree when the train reaches the line", it means that they set their watches to the same time (probably zero) when the front of the train crosses the line.

They could equally well set their watches to the same time when the back crosses the line.

Or when the middle crosses the line.

Or the train could be extended, with the extra portion at the front.

There is nothing special about the front of the train.

In layman's terms, the length is observed to contract all over. :smile:
 
tiny-tim said:
Hi Flexo! :smile:

When the question says "All observers will agree when the train reaches the line", it means that they set their watches to the same time (probably zero) when the front of the train crosses the line.

They could equally well set their watches to the same time when the back crosses the line.

Or when the middle crosses the line.

Or the train could be extended, with the extra portion at the front.

There is nothing special about the front of the train.

In layman's terms, the length is observed to contract all over. :smile:
It seems to me that the two moving observers would set their watches to zero at different times if the train contracted from both directions. Is this just a problem with my visualization?
 
Flexo said:
It seems to me that the two moving observers would set their watches to zero at different times if the train contracted from both directions. Is this just a problem with my visualization?

Sorry … yes it is! :smile:

They can set their watches to zero at whatever times they choose.

If they're moving at different speeds relative to the train, then there will be a different time, t = 1, say, when the back crosses the same line (another line) for both of them.

So if they use another pair of watches, set 1 unit behind the first pair, then by your same argument, the contraction is now towards the back! :smile:
 
tiny-tim said:
Sorry … yes it is! :smile:

They can set their watches to zero at whatever times they choose.

If they're moving at different speeds relative to the train, then there will be a different time, t = 1, say, when the back crosses the same line (another line) for both of them.

So if they use another pair of watches, set 1 unit behind the first pair, then by your same argument, the contraction is now towards the back! :smile:

It seems strange that observers will agree on a time that any point on the train reaches the line.
Say the train has numbers from 1-1000 in large print on either side of it. Each of these numbers is placed such that it reaches the finish line 1 nanosecond after the last. Both observers set their clocks to t=0 when 1 crosses the finish line. Are you saying that both observers will agree on the time that any given number crosses?
 
Flexo said:
Are you saying that both observers will agree on the time that any given number crosses?

No, I'm saying that the railway company can draw 1000 numbered lines on the ground, and both observers can re-set their watches so as to agree on the time that any particular number n on the train crosses line n. :smile:
 
tiny-tim said:
No, I'm saying that the railway company can draw 1000 numbered lines on the ground, and both observers can re-set their watches so as to agree on the time that any particular number n on the train crosses line n. :smile:

It seems to me that no contraction is occurring in this scenario, because the observer seeing the train as going faster would observe less time between number n crossing line n.
 
Flexo said:
It seems to me that no contraction is occurring in this scenario, because the observer seeing the train as going faster would observe less time between number n crossing line n.

Not following you. :confused:

There is always an observed contraction of an object moving relative to the observer.
 

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