Understanding Relativity: How a Mirror Reflects Your Image at Near-Light Speeds

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    Mirror Relativity
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Discussion Overview

The discussion revolves around the effects of running at near-light speeds (v=0.99c) on the perception of one's reflection in a mirror. Participants explore concepts related to relativity, reference frames, and the nature of light travel time in this context.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants suggest that one would see their reflection but in slow motion due to the time it takes for light to travel from the person to the mirror and back.
  • Others argue that there would be no noticeable difference in the reflection because both the observer and the mirror are moving at the same speed, thus maintaining the same reference frame.
  • One participant emphasizes that the laws of physics are consistent across inertial frames, implying that the experience of looking in the mirror would be the same regardless of relative motion.
  • Another point raised is that time dilation requires two different reference frames, which is not the case when both the observer and the mirror are moving together.
  • Some participants clarify that if the mirror is stationary on Earth and viewed through a telescope, the image would appear slowed down due to the increased distance light must travel, but this is not a result of time dilation.

Areas of Agreement / Disagreement

Participants express differing views on whether the reflection would appear different at high speeds. While some assert that there would be no change, others contend that the perception of the reflection could be affected by the time it takes for light to return, indicating unresolved disagreement.

Contextual Notes

There are limitations in the assumptions made regarding the reference frames and the effects of light travel time versus time dilation, which remain unresolved in the discussion.

fusi0n
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If you hold a mirror at arm's length and look at your reflection, what will happen as you begin to run and a speed close to that of light (v=.99c). Will you still be able to see yourself? Will your image look any different?
 
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u will see yourself run because the reflected light will come to your eyes anyway, but it will take longer every passing moment so i think u will se yourself in slowmotion.
 
fusi0n said:
If you hold a mirror at arm's length and look at your reflection, what will happen as you begin to run and a speed close to that of light (v=.99c). Will you still be able to see yourself? Will your image look any different?

You will notice no difference in your image at all.
 
Why will you see no difference?
 
fusi0n said:
Why will you see no difference?
According to relativity, all the laws of physics should work the same way in every inertial (non-accelerating) reference frame--this includes the fact that the speed of light is the same in every inertial reference frame. Another way of saying this is that if you were in a windowless box moving at constant velocity, you would get the same results for any experiment you could do inside the box (including measuring how fast light moves from your face to a mirror) regardless of the box's velocity relative to the earth. So, even if you are moving at 0.99c in the Earth's frame, you can just as well look at this problem from the point of view of a frame where you are at rest and it is the Earth that's moving at 0.99c away from you, and since the laws of physics all work the same in this frame, you won't see anything different when you look in the mirror. Keep in mind that there's no such thing as absolute velocity in relativity, an object's velocity depends on what frame you choose, so it isn't meaningful to say someone's velocity is 0.99c unless you specify what that speed is measured in relation to (but light moves at the same speed in every frame so that's the only case where you don't have to specify--if a light beam goes by the Earth at 186,282 miles/second and then you take off in a rocket which moves at 185,000 miles/second away from the earth, you'll still find that the light beam is moving away from you at 186,282 miles/second, not 1,282 miles/second as you might expect).
 
so, am i right?
 
gurkhawarhorse said:
so, am i right?
No--like I said, since the laws of physics should work the same in every reference frame, you should see exactly the same thing in a mirror that's at rest relative to you regardless of how fast you and the mirror are moving relative to the earth.
 
The point that needs to be stressed is that the question really doesn't make sense. As Jesse points out, both you and the mirror are moving the same speed, so even if you're running close to the speed of light, you could just as well call yourself sitting still and the ground underneath you moving close to the speed of light. Of course, this won't explain why you get tired, but you get the idea. If you and a mirror are sitting still and the ground is moving close to the speed of light under you, why would you look different in the mirror?
 
To put it more simply, time dilation requires two reference frames - you and the mirror are in the same frame.
 
  • #10
fusi0n said:
If you hold a mirror at arm's length and look at your reflection, what will happen as you begin to run and a speed close to that of light (v=.99c). Will you still be able to see yourself? Will your image look any different?
No. Any such observation can then be used to distinguish frames of referance which are in relative motion.

Note: The Principle of Relativity states - The laws of physics are the same in all inertial frames of reference.

Pete
 
  • #11
Even if the mirror is not in your frame time dialtion has no effect (the image is affected by relative motion, but this is due to the fact that light takes time to go travel from you to the mirror and back again which is something that time dialtion doesn't take into account).
 
  • #12
but i thought mirror is staying on the Earth and u r looking at the mirror through a telescope. foolish me.
 
  • #13
gurkhawarhorse said:
but i thought mirror is staying on the Earth and u r looking at the mirror through a telescope. foolish me.
In that case you were right, the image in the mirror would appear slowed-down, although as jcsd said this has nothing to do with time dilation, it's just because light is taking longer and longer to get from you to the mirror and back as you move farther away from it (so this would be true in classical physics too).
 
  • #14
yay...¬!:biggrin:
 

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