Why are the effects of Time Dilation permanent but Length Contraction is Not?

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  • #51
Dale
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You did not understand my thought experiment.
Probably not. Can you re-explain your thought experiment, this time carefully specifying which frame each quantity is measured in or in which frame any given temporal ordering is?

I am not contradicting myself if you understand the concept of Relativity of Simultaneity.
I understand it quite well. However, the relativity of simultaneity doesn't apply from a single reference frame. If you want to invoke the relativity of simultaneity you need at least two different frames. It may be that you intended that, but it wasn't clear which measurements were intended for which frames from your description.

You have to understand the inherent relativity of the finite speed of light.
None of the relativistic effects are due to the finite speed of light. They are due to the invariance of the speed of light.

For example, suppose that pre-Lorentz aether theories were correct and Maxwell's equations only held in the aether frame and that other inertial frames were related to the aether frame via the Galilean transform. In that case, the speed of light in other frames would be c+v where v is the speed of the frame wrt the aether, i.e. the speed of light would still be finite but not invariant. Since the Galilean transform holds, there would be no time dilation, nor length contraction, and no relativity of simultaneity.

Therefore the relativistic effects are due to the invariance of c, not the finite-ness of c. All of the features of relativity are effects that remain even after correctly accounting for the finite speed of light.

Of course from a observer at rest the ship and the distance light traveled is the same so the observer at rest sees the two pulses at the same place. The result is the observer at rest sees no length to the ship.
This is not correct. I would encourage you to actually work out the math of the Lorentz transform and see for yourself.

If your assertion were true than we would not have an invariant speed of light in every frame.
I would encourage you to work out the math for yourself for this also. Light and the Lorentz transform simply do not work the way you think they do.

If you have trouble working out the math for either of these then I can show you. But it will be more valuable for you if you can do it yourself. If you get stuck please let me know and I will try to help.
 
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  • #52
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Hi DaleSpam,


If you set off the signal in the center of the ship there would be no issue with the simultaneity of relativity and no contraction.

This is incorrect. If you set off a signal in the center of the ship, according to someone in the ship, the signal radiates out from the center of the ship and will reach the ends of the ship at the same time. The point of emission and the center of the ship coincide at all times

However for someone on Earth, the signal radiates out from the emission point at c while the ship moves at 0.9c relative to the emission point. The emission point and the center of the ship only coincide at the moment of emission. Thus the rear of the ship is rushing toward the signal with a closing speed of 1.9c and the front of the ship is running away from the signal at with a closing speed of 0.1c. The signal reaches the rear of the ship before it reaches the front of the ship.

This is not an "optical" effect but a real disagreement as to whether or not event at the ends of the ship are simultaneous or not.

There also has to be a contraction. Let's assume that, upon reaching the ends of the ship, the signal is reflected back to the center. The time that passes between emission and return is noted on a clock at the center. We'll say that 1 microseconds elapsed on the clock between emission and return.( .5 us each way for both signals)

According to someone at rest with respect to the Earth, The signal will take 5 us going one way and 0.263 us going the other way, for a round trip time of 5.263 us assuming no length contraction. By time dilation, this means that 0.436 x 5.263 = 2.294 us passed on the ship's center clock.

However, from above, we know that 1 us passes at the ship's center. The ship and Earth must agree as to the reading on the ship clock at emission and return. Since the speed of the signal relative to the observers is invariant, the only way around this is for the length of the ship to be contracted by a factor of 0.436, which reduces the round trip time according to the Earth to 2.294 us and the time passed on the ship clock according to the Earth to 2.294 x .436 = 1us.
 
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Hi DalSpam

This was a sub note to the reference you gave me.
Note that in this equation it is assumed that the object is parallel with its line of movement. Also note that for the observer in relative movement, the length of the object is measured by subtracting the simultaneously measured distances of both ends of the object. For more general conversions, see the Lorentz transformations. An observer at rest viewing an object travelling very close to the speed of light would observe the length of the object in the direction of motion as very near zero.
Hi Janus
Are you saying that within the frame of the space ship the speed of light is measured to be different heading to the back of the ship than heading to the front? If that is the case then we just have to place the switch in a position where the emitters go off instantaneously and not relatively by simultaneity. Than we will not see a contraction in the rest frame wrt the spaceship frame.
I always thought there was a difference in the forward and backward directions in a moving spaceship. I was always told there was not.
I think DelSpam is suggesting that the visual effect of the Lorentz contraction is a physical contraction of the space ship. What is your opinion? Is the Lorentz contraction just a visual or also a physical contraction?
 
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From my rudimentary understanding, concerning the twin paradox, if one twin leaves traveling near the speed of light and returns, he will find himself younger than his twin who stayed behind. Hence, the effect of time dilation is permanent.
When their spacetime paths are different both time dilation and length contraction are in place. However when they essentially travel on the same spacetime path it is not.

I am not sure why you think time dilation is permanent.
 
  • #55
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This was a sub note to the reference you gave me.
Yes. So now you agree with me on the above points?
 
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Hi DelSpam,

All of the usual relativistic features like time dilation, length contraction, and the relativity of simultaneity are contained in it. The Lorentz transformations are not optical effects. They are what remain after all of the optical effects are accounted for. They are not due to the fact that the speed of light is finite, but rather they are due to the fact that the speed of light is invariant.

Relativity of simultaneity is an explanation of visual contraction not physical contraction. The Lorentz contraction says close to the speed of light the contraction is close to 100%. If a ship could go “C” it would have no length. I can explain relativity of simultaneity that shows it to be a visual effect of the finite speed of light. You are in a ship going near the speed of light. You are in the front of the ship and hit the switch that simultaneously turns on the front and back of a pulse emitter. The front goes off first and the signal travels down the ship at the speed of light. When the signal reaches the back of the ship the back reaches the position the first pulse fired. There is your contraction due to the finite speed of a photon. If you set off the signal in the center of the ship there would be no issue with the simultaneity of relativity and no contraction. Instantaneous and simultaneity of relativity are two different things.

Note that in this equation it is assumed that the object is parallel with its line of movement. Also note that for the observer in relative movement, the length of the object is measured by subtracting the simultaneously measured distances of both ends of the object. For more general conversions, see the Lorentz transformations. An observer at rest viewing an object travelling very close to the speed of light would observe the length of the object in the direction of motion as very near zero.

This was a sub note to the reference you gave me.

Yes. So now you agree with me on the above points?

So we agree that the transformation would be very near zero but the only disagreement is

You think the contraction is a physical effect on the space ship and the space ship is being reduced to very near zero length.

I think it is a visual effect that we see zero length with no physical effect on the space ship. Meaning it remains the same physical length or slightly larger in the very near "C" ship as it is in the resting frame ship.

Do I have that correct?

Hi Janus,

Earth frame observer is watching a space ship made of glass traveling 0.9C. There is a stationary (same as the Earth frame) photon emitter that will emit a photon parallel to the glass ship forward and backward as the ship passes going 0.9C. There is also one inside the glass space ship that will emit a photon forward and backward. When the space ship lines up with the observer and the outside photon emitter they go off in unison. The Earth observer sees the outside photon emitter’s photons departing from each other at 2C or each at C in opposite directions. Now inside the ship the Earths observer, observes the forward emitters photon going the speed of light (relative ship frame= 0.1C=C). He sees the rear emitters photon going 0.8C forward (relative ships frame 0.1C=C backwards).
So to the Earths observer the photons are both going forward at "C" and 0.8C respectively.

Do we give up light is measured to be invariant in every frame or give up the idea that the speed of light is the same in every direction within a frame?
They are mutually incompatible statements for a photon.


Happy Holidays
 
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  • #57
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Hi DelSpam,







So we agree that the transformation would be very near zero but the only disagreement is

You think the contraction is a physical effect on the space ship and the space ship is being reduced to very near zero length.

I think it is a visual effect that we see zero length with no physical effect on the space ship. Meaning it remains the same physical length or slightly larger in the very near "C" ship as it is in the resting frame ship.

Do I have that correct?

Hi Janus,

Earth frame observer is watching a space ship made of glass traveling 0.9C. There is a stationary (same as the Earth frame) photon emitter that will emit a photon parallel to the glass ship forward and backward as the ship passes going 0.9C. There is also one inside the glass space ship that will emit a photon forward and backward. When the space ship lines up with the observer and the outside photon emitter they go off in unison. The Earth observer sees the outside photon emitter’s photons departing from each other at 2C or each at C in opposite directions. Now inside the ship the Earths observer, observes the forward emitters photon going the speed of light (relative ship frame= 0.1C=C). He sees the rear emitters photon going 0.8C forward (relative ships frame 0.1C=C backwards).
So to the Earths observer the photons are both going forward at "C" and 0.8C respectively.

Do we give up light is measured to be invariant in every frame or give up the idea that the speed of light is the same in every direction within a frame?
They are mutually incompatible statements for a photon.



Happy Holidays

The Earth observer sees both sets of photons ( the ones emitted by the outside emitter and the ones emitted by the ship emitter) travel at c in opposite directions, with the ones headed towards the rear of the ship arriving at the rear before the ones headed for the the front arrive at the front of the ship. It makes no difference from which emitter the photons came from.

For the Observer on the ship, both sets of photons reach the ends of the ship simultaneously. That is what light speed being invariant and the speed of light being the same in every direction in every frame means. They are not incompatible.
 
  • #58
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Hi Janus,

The Earth observer sees both sets of photons ( the ones emitted by the outside emitter and the ones emitted by the ship emitter) travel at c in opposite directions, with the ones headed towards the rear of the ship arriving at the rear before the ones headed for the the front arrive at the front of the ship. It makes no difference from which emitter the photons came from.

For the Observer on the ship, both sets of photons reach the ends of the ship simultaneously. That is what light speed being invariant and the speed of light being the same in every direction in every frame means. They are not incompatible.

You are suggesting there is a different reality for each frames observer.

If you are suggesting it’s because of the limit of not being able to measure the one way speed of light that I would understand. The round trip is the same for each I agree.

If it is a different reality I would like to know the reason. (Unless it is just your understanding of a postulate). If there is a physical explanation please in that case I would be very appreciative.


If there is no explanation than we must conclude that the one way speed of light is not measured to be the same in all frames.
 
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  • #59
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Hi Janus,



You are suggesting there is a different reality for each frames observer.
No,just different perspectives of the same "reality"
If you are suggesting it’s because of the limit of not being able to measure the one way speed of light that I would understand. The round trip is the same for each I agree.

If it is a different reality I would like to know the reason. (Unless it is just your understanding of a postulate). If there is a physical explanation please in that case I would be very appreciative.


If there is no explanation than we must conclude that the one way speed of light is not measured to be the same in all frames.

The best simple explanation is that measurements of time and space are frame dependent. To use an analogy, imagine a group of people standing in an open field all facing in different directions. If you were to ask them to point North, they will all point in the same direction (assuming they all know the direction of North). If you place two objects on that field and ask them what the North-South distance between them is, they will all give you the same answer. This is an example of frame independence. No matter what direction the people are facing with respect to each other, they will agree on these measurements.

If you now ask them all to point left, they will all point in different directions, as left is defined by the direction they are facing. If you ask them the left-right distance between the two objects, they will give different answers. Some will even say that object one is to the left of object two while other will say that it is the other way around. This is an example of frame dependence. the measurements do depend on how the people face with respect to each other.

What Relativity says is that measurements of space and time are more akin to the second example.

In Relativity, there is something akin to the straight line distance between the two objects in the example. This is frame independent. Everyone agrees to this even though they might not agree as to the Left-Right and Front-Back components of this distance. In Relativity, it is called the space-time interval and represents the separation of event in space and time. This interval is something everyone will agree on. What different frames will disagree upon (such as in your spaceship example) How much of the separation is in time and how much is in space.

One way to look at it is that we measure time and space we are only measuring "slices" of a larger reality, and that different frames are looking at different slices.
 
  • #60
Dale
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You think the contraction is a physical effect on the space ship and the space ship is being reduced to very near zero length.

I think it is a visual effect that we see zero length with no physical effect on the space ship. Meaning it remains the same physical length or slightly larger in the very near "C" ship as it is in the resting frame ship.
I would certainly say it is a physical effect since "physical" means "of or pertaining to physics" and length contraction is part of the Lorentz transform which definitely pertains to physics.

It is not, however, a visual effect. There are several relativistic visual effects, such as relativistic abberation, relativistic Doppler shift, and Terrell-Penrose rotation. Length contraction is what is measured after properly accounting for these visual effects in a given frame. It is not what is seen visually nor with a high speed camera.

I would again recommend that you work out the two calculations I suggested above. I think that you will find it educational.
 
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One way to look at it is that we measure time and space we are only measuring "slices" of a larger reality, and that different frames are looking at different slices.

On this we agree but it still does not explain why the Earth observer sees the photon hit the back of the ship first and the front second while the ship observer sees them hit simultaneously. If the Earth frame sees a difference in the relative time (to hit the back and front of the ship) than inside of the space ship there has to be a difference in the one way speed of light. There is no way to get around that. From an observer in the center of the ship the one way speed of light is different. Not that the space ship frame could measure it but the reality is the speed within the ship is c+v and c-v. The round trip is “C” in both directions. The Earth observer is the only one that can measure the one way direction of light. That measurement is c+v and c-v for closing and departing distances. So in a moving frame light can cover a different distance in the same amount of time. This would explain why atomic clocks lose Nano seconds going from east to west.
 
  • #62
Dale
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On this we agree but it still does not explain why the Earth observer sees the photon hit the back of the ship first and the front second while the ship observer sees them hit simultaneously. If the Earth frame sees a difference in the relative time (to hit the back and front of the ship) than inside of the space ship there has to be a difference in the one way speed of light. There is no way to get around that.
This is incorrect. The distance traveled by the light is different for the forward and backward paths in the Earth frame, and that distance is different than the distance traveled by both paths in the ship frame. The speed of light is the same, and the various distances are different. Again, you should work out the math to convince yourself of this. If you need help there are many on this form who will be willing.

The Earth observer is the only one that can measure the one way direction of light.
What makes the Earth observer so special?
 
  • #63
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Hi DaleSpam,

This is incorrect. The distance traveled by the light is different for the forward and backward paths in the Earth frame, and that distance is different than the distance traveled by both paths in the ship frame. The speed of light is the same, and the various distances are different. Again, you should work out the math to convince yourself of this. If you need help there are many on this form who will be willing.

Let's see you are saying the photon physically hits the back of the ship before the one in front hits in the Earth frame. Then they physically hit at the same time in the ships frame. Do you understand how absurd that sounds? The photon has to be in two places at the same time.

Math is no guarantee that you are correct. While the math does contract the visual object the same as your view. You actually believe the contraction is physical. Does the math prove it’s physical?
 
  • #64
Dale
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Let's see you are saying the photon physically hits the back of the ship before the one in front hits in the Earth frame. Then they physically hit at the same time in the ships frame. Do you understand how absurd that sounds?
Yes, I do. That is why the relativity of simultaneity is the single most difficult concept for students to grasp in learning special relativity. It goes very strongly against our non-relativistic intuition.

Math is no guarantee that you are correct ... Does the math prove it’s physical?
The math is a guarantee that what I am saying is consistent with SR and that what you are saying is not consistent with SR. Then experiments prove that SR is correct in the domain where it is tested. The math is necessary, but not sufficient, which is why we do experiments too.

In any case, my repeated suggestions that you do the math are not for the purpose of proving my point, they are simply to help you learn. If I were only interested in proving my point then I would do the math myself. But you will learn more and faster if you do it.
 
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  • #65
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Hi DaleSpam,



Let's see you are saying the photon physically hits the back of the ship before the one in front hits in the Earth frame. Then they physically hit at the same time in the ships frame. Do you understand how absurd that sounds? The photon has to be in two places at the same time.

Math is no guarantee that you are correct. While the math does contract the visual object the same as your view. You actually believe the contraction is physical. Does the math prove it’s physical?


The first postulate is the laws of physics are always the same no matter the observer, as long as they're inertial.


Consider that time is merely a measurement, like length is a measurement. Your intuition is right, just gotta tune it a bit more physicsy. It would be absurd for someone right next to (inertial with) the experiment to believe the photons didn't hit simultaneously. (im assuming this is the scenario) That observer is in the "same" spacetime, specifically frame of reference as the experiment.

Said differently, considering another observers FoR doesn't make it "reality". Only your own observation does. I think causality is the final nail in that.

In another, more crude way, conscious observers are special in that we can in-vision what would happen in the other FoR. That cannot "physically" be considered a/the "reality". I know nothing of LET but this conscious observer reasoning would be getting off on the wrong foot (with either theory).

I couldn't think of an equation for that. :smile:
 
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  • #66
Dale
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The first postulate is the laws of physics are always the same no matter the observer, as long as they're inertial.
I have never seen the first postulate written that way. It is always written in terms of reference frames, not observers.
 
  • #67
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This question is in regard to special relativity.

From my rudimentary understanding, concerning the twin paradox, if one twin leaves traveling near the speed of light and returns, he will find himself younger than his twin who stayed behind. Hence, the effect of time dilation is permanent.

However, I have never read anywhere that the traveling twin's length will also be permanently adjusted due to length contraction.

How is it that one Lorentz transformed aspect remains while the other one vanishes upon the traveling twin's return?

I apologize if this question has been asked before. If so, and you know where to find the responses, please point me in the right direction.

Thank you!

~Dylan
The twin that returns, however, will - upon return - be aging at the same rate as the twin that stayed home. The clock that the twin took with him in a voyage will be counting off time length of 1 second, in a second, when he's back home. The length of the travelling twin's sleep, or the length of his heartbeat (ignoring the senile insomnia, ha ha, and other effects of aging on the staying twin) will not be affected permanently, just as the length of his body was not.

The age is like a position, not like length interval.
 
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Hi nitsuj,

The first postulate is the laws of physics are always the same no matter the observer, as long as they're inertial.

Thank you. That is what I am trying to get across. Relativity of simultaneity is just the distance light travels for each observer. When you say the photon hits the back of the ship first for the Earth observer that is the reality and proves that the one way distance in the space ship frame that light travels is different than the return trip distance light travels. There does not need to be an observer for reality of physical position in space. The reality is the photon hits the back of the ship in both frames by the same physical position in space. The problem is the MMX experiments was the two way distance light travels. No matter what frame you are in the two way distance will make it appear light travels the same distance/time. If the math you use takes the distance traveled and divided by ½ for the one way speed you will be wrong because the travel out is always adjusted by the return travel. An orthogonal way to prove my point would be with Atomic clocks. You are on the equator and have three atomic clocks synchronized. One stays stationary one is taken in a plane to the west and one to the east around the world. When they return the clock that flew west loses time compared to the stationary one and the one that flew east gains time compared to the stationary one. Einstein said atomic clocks can be used to measure the speed of light. This experiment proves the distance light traverses a moving frame is different than a frame at rest. There was a second experiment I remember reading about using four atomic clocks. Four clocks were synchronized in New York three were taken to the North Pole. One was brought back to New York and the other two were taken to San Francisco. The one brought back to New York stayed synchronized. Out of the two that went to San Francisco one went to New York and the one in New York went to San Francisco. New York to San Francisco lost 14 Nano seconds San Francisco to New York gained 14 Nano seconds. This also proves the one way distance traversed/time interval is different. Wake up the MMX experiments were flawed that Einstein used for Relativity. That does not negate Relativity or simultaneity of relativity. It only proves that simultaneity of Relativity is visual and not physical.

The MMX experiments were not flawed just the math used for the one way distance of traversed light that was assumed.

If you took either clock back to their origin they would be synchronized again.
 
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  • #69
Dale
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Qzit, pleas learn to use paragraphs to separate your thoughts. A little bit of organization will help communication a great deal.

When you say the photon hits the back of the ship first for the Earth observer that is the reality
I have asked this before, but why? What is it about the Earth observer that makes them so special that their reference frame represents "reality"? Do you believe like Copernicus' detractors that the Earth is at the center of the universe or otherwise occupies some priviledged position?

The reality is the photon hits the back of the ship in both frames by the same physical position in space.
Again, this is not true in any frame, we have already discussed this.

Wake up the MMX experiments were flawed that Einstein used for Relativity. That does not negate Relativity or simultaneity of relativity. It only proves that simultaneity of Relativity is visual and not physical.
Can you provide any mainstream scientific reference which supports your claim?

I would like to remind you that this forum is not for anti-relativity rants, it is for learning mainstream physics. When you signed up for your account you agreed to the rules that prohibit overly speculative posts. If you have an anti-relativity agenda you had best look elsewhere.
 
  • #70
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Hi DaleSpam,

You and I agree on Relativity being correct but we disagree on what that means. In order to stop getting confused let’s look at everything from the photons perspective. Where do you disagree?
1. The photons minimum and maximum speed are the same in every frame and that = invariant speed of light.
2. Our visual perspective depends on where we observe an object.
3. The photon perspective is the only reality of its own position in space.
If we can agree on that we made progress. Now before you read with a challenging attitude try and follow your logic with the three things we agree on not where we disagree.
You are riding a photon and you can know the exact position of another photon instantaneously. This removes relativity of simultaneity.
Lets go through this thought experiment again because the math is different from the reality of the photon.
A space ship is traveling ½ the speed of light. Two photons side by side are traveling an intersect course with the space ship. When the two photons reach the front of the space ship one reflects back to an observer at rest in line with the traveling photons and the ship. The second photon reaches the back of the space ship and reflects back to the same observer at rest. While the photon was moving from the front to the back the ship moved ½ the speed of light forward intersecting a contracted position relative to the length of the ship. We visualize the photon covering 75% and the ship 25%. This is a contraction of the returned photons measurement from the front to the back that the observer at rest sees. (1-v^2/C^2)=1-25=75 just what the observer at rest sees for the returned photon distance. Now because we think light travels the same speed relative to the ships frame we take the square root and get a contraction of 0.866 just about half + the time dilation increase of the ships length by gamma. Once again the MMX experiments are affecting reality of position. The MMX experiment was not wrong but the conclusions of the experiment were incorrect.

The Earth frame is the only place you can measure the one way speed of light in a space ship. The returned light from the front and back of the ship will be the same and if you incorrectly divide that by 1/2 you are mistaken when the photon actually hit the back and front of the ship.
 
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  • #71
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Do you have any mainstream scientific references to support your interpretation?
Where do you disagree?
1. The photons minimum and maximum speed are the same in every frame and that = invariant speed of light.
2. Our visual perspective depends on where we observe an object.
I agree here.

3. The photon perspective is the only reality of its own position in space.
I disagree here. A photon doesn't have a valid perspective. See:

https://www.physicsforums.com/showthread.php?t=511170

And even if it did no reference frame represents the "only reality" of anything. Your claim that one inertial frame is more valid than another is a direct contradiction of the principle of relativity.
 
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  • #72
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Hi DaleSpam,



Let's see you are saying the photon physically hits the back of the ship before the one in front hits in the Earth frame. Then they physically hit at the same time in the ships frame. Do you understand how absurd that sounds? The photon has to be in two places at the same time.

The point is that "at the same time" means something different for the Earth frame than it does for the Ship frame. Events that the two frames can agree happen at the same time are those that happen at the same point (for example, the light hitting one end of the ship and the reading on the clock at that end of the ship at that instant.)

For demonstration here is the classic train example for the Relativity of Simultaneity.

First, events according to the embankment frame:

Here the lightning flashes originate when the ends of the train are adjacent to the red dots on the embankment and the embankment observer is at the midpoint between the two.

The embankment observer sees both flashes at the same time, and being halfway between the lightning strikes concludes that they occurred at the same time. Notice how the flashes reach the train observer at different times.

trainsimul1.gif


Now the thing to keep in mind is that in this frame, the train is length contracted, and it it this length contraction that allows it to just fit in between the two dots on the embankment.

Now the same scenario according to the Train frame. In this frame, the train is its proper length and it is the embankment which is length contracted. Now the train is longer than the distance between the two dots. The front of the train hits the right red dot before the rear reaches the left dot. The lightning strikes must originate when the ends of the trains are aligned with the dots, otherwise you will have a contradiction between the frames.

trainsimul2.gif


This means that in a very real sense, the lightning strikes occur at different times in the train frame. If the light from those flashes expand outward at c relative to the train, the train observer will see each flash at different times (just as he did according to the embankment frame. ). The reverse argument is that since he sees the flashes at different times, is halfway between the ends of the train(where the lightning strikes occurred) and the light from the strikes approaches him at the same speed from both ends (the speed of light is invariant), then the lightning strikes occurred at different times.

You will also note that in the train frame, the flashes also reach the embankment observer at the same time. Further, if you compare the two animations, you will note that the train observers position with respect to the embankment when each flash reaches him is the same in both as is the embankment observer's position with respect to the train when the flashes reach him.

Thus there are no true contradictions between the frames, only a disagreement as to what is simultaneous when it come to events that are separated by some distance. Note that this is not just a matter of one observer being further from the source and seeing it later, because each observer accounts for his distance from the source to determine when the flash really occurred. It is a very real difference in the simultaneity of events separated by distance.

This is length contraction and the Relativity of Simultaneity working together. If you were to place clocks at the red dots, the ends of the trains and with each observer (with the clocks in each frame synchronized in that frame), you could include time dilation into the mix, and find that everyone will agree as to what times were on any two clocks when those clocks passed each other, or when the light from either strike hit them. They will not agree as to the synchronization of clocks between frames (each frame claiming their own clocks as being in sync while the other frame's clocks are not), nor as to the relative clock rate between frames. (each will consider the clocks in the other frame as running slow.)

This is what Special Relativity is about, there are real differences in time and space between inertial frames.
 
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  • #73
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DaleSpam.

Janus has a depth of understanding that comes from his thinking about Relativity and not just a surface interpretation of what he read. To truly understand Relativity you have to think about what is happening from the different perspectives. Once Janus said in the Earth frame the photon will hit the back of the ship first we no longer had a disagreement in our understanding. He agrees the distance traversed in the forward direction is different than the distance traversed in the rear of the ship for the one way path of a photon. When we find out new information we have to challenge old conclusions with the new information. I agree that the observer in the middle of the ship will measure the distance to be the same for the forward and backward photons return trips. Were they reflected at the same time? NO!! You were arguing that each photon hit the ends of the ship twice because of your belief that contraction is physical. Janus understands Relativity of simultaneity correctly.

Now the second issue we disagree on. Time dilation for the speeding space ship is an increase in volume and decrease in density. This once again takes thinking it out for understanding. You say time dilation is contraction and I say dilation is expansion. This can be proven by photons invariance to a frame. The speed of light can be used as an anchor because it travels through all frames like they were not there the photons speed does not vary from frame to frame. If you contract the distance in a frame you have to speed a clock up to match the shorter distance. If you expand the distance you have to slow the clock down to give the photon enough time to traverse the same distance. Only this way does the clock match the distance in the rest frame of all frames. If your clock is faster in a frame your measuring stick is shorter. If your clock is slower than your measuring stick is longer. This way you measure the speed of light in every frame to be invariant although it does take longer to traverse a dilated frame.
 
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  • #74
Dale
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Janus has a depth of understanding that comes from his thinking about Relativity and not just a surface interpretation of what he read. To truly understand Relativity you have to think about what is happening from the different perspectives.
I agree on both counts. Janus is quite knowledgeable, and to understand relativity you do have to think about what is happening in different reference frames and recognize that each is equally valid.

Once Janus said in the Earth frame the photon will hit the back of the ship first we no longer had a disagreement in our understanding. He agrees the distance traversed in the forward direction is different than the distance traversed in the rear of the ship for the one way path of a photon. When we find out new information we have to challenge old conclusions with the new information.
I am glad you have changed your mind and now agree with me, on this point at least.

You were arguing that each photon hit the ends of the ship twice because of your belief that contraction is physical.
I certainly never said any such nonsense.

Time dilation for the speeding space ship is an increase in volume and decrease in density.
Please provide a mainstream reference to support this assertion.

This once again takes thinking it out for understanding. You say time dilation is contraction and I say dilation is expansion. This can be proven by photons invariance to a frame. The speed of light can be used as an anchor because it travels through all frames like they were not there the photons speed does not vary from frame to frame. If you contract the distance in a frame you have to speed a clock up to match the shorter distance. If you expand the distance you have to slow the clock down to give the photon enough time to traverse the same distance. Only this way does the clock match the distance in the rest frame of all frames. If your clock is faster in a frame your measuring stick is shorter. If your clock is slower than your measuring stick is longer. This way you measure the speed of light in every frame to be invariant although it does take longer to traverse a dilated frame.
You claim that you believe that relativity is correct. If so, then you believe that the Lorentz transform is correct (even if you disagree with my interpretation of it). However, what you are saying is incompatible with the Lorentz transform itself.

I challenge you once again to actually do the math. Unfortunately, it looks like you will have to do so on your own now.
 
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  • #75
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I have never seen the first postulate written that way. It is always written in terms of reference frames, not observers.

:redface: Opps.

I always thought of an observer as being the same as a FoR.

Pretty clear there can be more then one observer in a FoR.

An important distinction.
 

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