Light Speed In Forward and Backward Directions

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Discussion Overview

The discussion revolves around a thought experiment involving the speed of light as measured in a moving frame versus a stationary frame. Participants explore the implications of special relativity (SR), particularly focusing on the one-way speed of light and the effects of length contraction and the relativity of simultaneity. The conversation includes technical reasoning and challenges regarding how observers in different frames perceive time and distance for light travel.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant describes a scenario where a laser beam is emitted from a moving frame and questions how observers within that frame would measure the time for light to travel forward and backward.
  • Another participant asserts that the speed of light is independent of the motion of the source, as predicted by SR, and emphasizes the importance of this thought experiment in testing relativity.
  • Concerns are raised about neglecting the relativity of simultaneity in the initial analysis, suggesting that Lorentz transformations should be applied to correctly compare events in different frames.
  • Some participants express skepticism about the complexity of the thought experiment, suggesting it is a basic scenario often taught in high school physics.
  • There are discussions about the implications of length contraction and how it affects the perceived speed of light in different directions, with some arguing that the assumptions about the relationship between frames are flawed.
  • One participant challenges the idea that length contraction could lead to different one-way speeds of light depending on direction, arguing that such a scenario would be implausible.
  • Another participant emphasizes that the relativity of simultaneity is crucial to understanding the discrepancies in measurements between frames.

Areas of Agreement / Disagreement

Participants express multiple competing views regarding the implications of special relativity on the speed of light in different frames. There is no consensus on the correct interpretation of the thought experiment or the calculations involved.

Contextual Notes

Participants highlight limitations in the initial assumptions about the moving frame and the proper length of the object, as well as the need for careful application of Lorentz transformations. The discussion reflects a range of interpretations and calculations that may not align with each other.

  • #31
@AlienGrey For someone who only has posts in this thread, and joining today, you have a "special" attitude
AlienGrey said:
It seems like a very logical assumption to me.
That is why you are wrong, and so many others, when it comes to relativity. An assumption is not logical. An assumption is an assumption and from that you draw conclusions and statements using logic. SR starts with the assumption that the speed of light is same in all inertial frames, from which you predict things which can be observed and measured.
Perhaps you should take some time and actually learn SR and then re-visit this setup of yours?
 
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  • #32
malawi_glenn said:
@AlienGrey For someone who only has posts in this thread, and joining today, you have a "special" attitude

That is why you are wrong, and so many others, when it comes to relativity. SR starts with the assumption that the speed of light is same in all inertial frames, from which you predict things which can be observed and measured.
Perhaps you should take some time and actually learn SR and then re-visit this setup of yours?
So you can't show how to get 0.5 and 0.5 from 0.87 and 0.29 using one time dilation/length contraction factor? Can't say I'm surprised, since it's obviously impossible.
 
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  • #33
AlienGrey said:
It seems like a very logical assumption to me.
It is a rationale assumption. It's part of Newtonian mechanics. But, it's not a valid assumption in the relativistic universe we have. The assumption ultimately fails experimentally. That's why in high-energy particle physics we use SR and not Newtonian physics.

All you've proved is that SR is not Newtonian.
 
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  • #34
PeroK said:
It is a rationale assumption. It's part of Newtonian mechanics. But, it's not a valid assumption in the relativistic universe we have. The assumption ultimately fails experimentally. That's why in high-energy particle physics we use SR and not Newtonian physics.

All you've proved is that SR is not Newtonian.
Show how to get 0.5 and 0.5 from 0.87 and 0.29 using the same SR factor. We both know you can't, isn't that right?
 
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  • #35
AlienGrey said:
So you can't show how to get 0.5 and 0.5 from 0.87 and 0.29 using one time dilation/length contraction factor? Can't say I'm surprised, since it's obviously impossible.
It is impossible to teach anyone anything they do not want to learn. If you are not interested in learning SR, then there is no point to the discussion.
 
  • #36
PeroK said:
It is impossible to teach anyone anything they do not want to learn. If you are not interested in learning SR, then there is no point to the discussion.
I'm interested in you getting 0.5 and 0.5 from 0.87 and 0.29 using a single SR factor.
 
  • #37
AlienGrey said:
Show how to get 0.5 and 0.5 from 0.87 and 0.29 using the same SR factor. We both know you can't, isn't that right?
We've already told you how to do it. In the time you've been arguing here you could have solved your problem about half a dozen times...
 
  • #38
AlienGrey said:
I'm interested in you getting 0.5 and 0.5 from 0.87 and 0.29 using a single SR factor.
No you're not! You're only interested in trolling us. Admit it!
 
  • #39
Ibix said:
We've already told you how to do it. In the time you've been arguing here you could have solved your problem about half a dozen times...
Yeah but I want to see YOU do it. I already did it, now it's your turn.
 
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  • #40
PeroK said:
No you're not! You're only interested in trolling us. Admit it!
Just keep dancing.
 
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  • #41
And if we thought it was impossible why would we be repeatedly stressing how easy it is? Wouldn't we be sucking our teeth and muttering about it being too difficult, like a mechanic trying to up the price on a repair job?

This is a trivial piece of book work that everyone here except you has done many times.
 
  • #42
AlienGrey said:
so the onus is on you to show how I'm wrong.
I don't think that's how it works.
 
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  • #43
Ibix said:
And if we thought it was impossible why would we be repeatedly stressing how easy it is? Wouldn't we be sucking our teeth and muttering about it being too difficult, like a mechanic trying to up the price on a repair job?

This is a trivial piece of book work that everyone here except you has done many times.
As a stall tactic because you know you can't actually do it, I would assume.
 
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  • #44
AlienGrey said:
I already did it

Then show it to us.
 
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  • #45
AlienGrey said:
As a stall tactic because you know you can't actually do it, I would assume.
Or because it actually is that easy. Which it is.
 
  • #46
AlienGrey said:
As a stall tactic because you know you can't actually do it, I would assume.
And if you really believe that, call our bluff. Do the maths we're lying about being the right thing (not your post #1 maths which neglects at least one important factor) and prove us wrong.
 
  • #47
weirdoguy said:
Then show it to us.
I did it in my head and it didn't work so I now I need you do it and show that it does work. You're the one who claims it will work so why aren't you just showing me how it works so great?
 
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  • #48
Ibix said:
And if you really believe that, call our bluff. Do the maths we're lying about being the right thing (not your post #1 maths which neglects at least one important factor) and prove us wrong.
You're the one who claims this magic formula of yours will work so please demonstrate, I'm all eyes.
 
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  • #49
AlienGrey said:
Is this the homework section? No, so you doubting it being homework seems irrelevant.
Very frequently we get members who post homework questions in technical forum sections such as this one, so your argument is very flawed.
 
  • #50
Thread temporarily closed for moderation.
 
  • #51
Since the Alien has gotten into his spaceship and left us, this thread will remain closed. Thanks for trying to help him out while he was briefly with us. :wink:
 
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  • #52
I am late to the party but just thought that I would add this to make it abundantly clear how easy this stuff is. Just go to https://en.wikipedia.org/wiki/Lorentz_transformation#Proper_transformations to get the Lorentz transform matrix. For ##v=(c/2,0,0)## we get$$\Lambda =
\left(
\begin{array}{cccc}
\frac{2}{\sqrt{3}} & \frac{1}{\sqrt{3}} & 0 & 0 \\
\frac{1}{\sqrt{3}} & \frac{2}{\sqrt{3}} & 0 & 0 \\
0 & 0 & 1 & 0 \\
0 & 0 & 0 & 1 \\
\end{array}
\right)$$ Then we simply use that transformation matrix to determine events ##(ct,x,y,z)## in the ground frame. $$\Lambda \cdot \left(0,0,0,0\right)=\left(0,0,0,0\right)$$$$\Lambda \cdot \left(\frac{c}{2} ,\frac{c}{2} ,0 ,0 \right) = \left( \frac{\sqrt{3}c}{2},\frac{\sqrt{3}c}{2},0,0 \right)$$$$\Lambda \cdot \left(1 c ,0 ,0 ,0 \right) = \left(\frac{2 c}{\sqrt{3}},\frac{c}{\sqrt{3}},0,0 \right)$$ You can do the subtraction and evaluate the numbers to see that the time is 0.87 for the forward and 0.29 for the reverse.

As long as they can do matrix multiplication, it is indeed high school level. The reluctance to do this for the lazy alien was due to our usual approach of encouraging the OP to learn for themselves, not because this was in any way challenging to do
 
Last edited:
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