A question about a thought experiment in space

[JesseM]

An object can only be in its own rest frame. This frame may of course be moving relative to other frames.

What does it mean for an object to be "in" one frame but not another? What is the physical meaning of this statement? Again, a frame is just a coordinate system. You could say "an object is defined to be 'in' a frame if it is at rest in that frame" and then your statement would be true by definition, but I don't think this is standard terminology in relativity.

With regard to simultaneity. If two objects have zero relative velocity, such as the emitters in the spaceship, and if they emit a light pulse, and if these light pulses meet halfway between the emitters, we will regard the emissions as simultaneous.

Yes, this is a version of the Einstein synchronization convention. I gave another version in post #18 when I said "two clocks are judged to be 'synchronized' in their mutual rest frame if they both show the same reading at the moment they are hit by light from a source turned on at the midpoint of the two clocks". The problem is not that I don't understand how simultaneity works in relativity, the problem is that marlos jacob doesn't seem to understand it, and doesn't seem to understand that you need to specify a particular synchronization convention before you can say that the signals from A and C were emitted at the "same time".

We both agree that emitters in their own rest frame remain central to their emitted spheres of light ( we differ about this being true as seen from other frames but in this case it does not matter )

When you say "we differ", do you mean you think that in a frame where the emitter is moving, it will still be observed to remain at the center of the expanding light sphere? Suppose the emitter is moving along the x-axis at 0.5c, and as it passes the origin at t=0 it emits a flash of light in all directions. at t=1 seconds it will be at position x=0.5 light-seconds in this frame...are you saying that you think that in this frame, the right edge of the light sphere would be at x=1.5 light-seconds, and the left edge would be at -0.5 light-seconds, so that both edges are 1 light-second from the emitter at this moment? This would violate the second postulate of SR which says that the speed of light must be c in all frames...for this frame to see the light moving at c, if the flash was emitted at x=0, then after 1 second the right edge must be at x=1 light-second and the left edge must be at x=-1 light seconds. So in this frame, since the emitter is at x=0.5 light-seconds at this moment, it is 1.5 light-seconds away from the left edge and 0.5 light-seconds away from the right edge of the expanding light sphere.

The emitters are both in the same frame ( of course their commom rest frame ) AND REMAIN SO WHATEVER THE MOTION OF THE SHIP and so the light fronts must meet halfway between them providing the firing mechanism we use is not affected by such motion. We must agree that under ALL inertial motion of the ship that as long as the emitters have zero relative velocity the controlled emitted light fronts will meet at the same point which we have defined, halfway.

This is of course true as long as both emitters sent the light simultaneously in their mutual rest frame (the ship's rest frame). But again, the problem is that marlos jacob did not specify that they sent the light "at the same time" in the ship's rest frame, he didn't specify a frame at all, and he doesn't seem to understand that there is no objective frame-invariant procedure for defining what it means for two emitters at different locations to send out light "at the same time". Without specifying which frame's definition of simultaneity he's using, or without a physical procedure for deciding when each of the two signals are sent, his scenario is simply ill-defined.

 

[pervect]

I haven't read this very long thread in detail, but I do have a comment.

If a object A, regarded as "stationary" emits a light signal, and object B, regarding as "moving" both emit a signal at the same location in space and time, there will not be two different wavefronts. There will only be one wavefront - i.e. if object A emits a radio signal, and object B emits a light signal, a receiver will receive the radio signal at the same time a photocell detects the light flash. (This assumes that the doppler shift is low enough that radio waves aren't converted into light, or vica-versa).

There is experimental evidence for this from astronomy from the measurement of binary stars. Light emitted from a star moving towards us does not arrive earlier than light emitted from a star moving away from us.

Thus Observer A will see the emitted as circular, using his defintion of simultaneity, regardless of the motion of the source of the emission. Observer B, using a different defintion of simultaneity than observer A, will also see this wavefront as being circular.

 

[robphy]

If a object A, regarded as "stationary" emits a light signal, and object B, regarding as "moving" both emit a signal at the same location in space and time, there will not be two different wavefronts. There will only be one wavefront - i.e. if object A emits a radio signal, and object B emits a light signal, a receiver will receive the radio signal at the same time a photocell detects the light flash.

(color-emphasis mine)


I would say there is only one light-cone [with vertex at the emission event]. However, because these two inertial observers are in relative motion, each will slice up that light-cone with a different set of parallel spatial sections... i.e., different sets of events comprising their wavefronts. For each inertial [source] observer, however, the events on his wavefront are spatially-equidistant from him. That is, as you said,

Observer A will see the emitted as circular, using his defintion of simultaneity, regardless of the motion of the source of the emission. Observer B, using a different defintion of simultaneity than observer A, will also see this wavefront as being circular.

 

[pervect]

(color-emphasis mine)


I would say there is only one light-cone [with vertex at the emission event]. However, because these two inertial observers are in relative motion, each will slice up that light-cone with a different set of parallel spatial sections... i.e., different sets of events comprising their wavefronts. For each inertial [source] observer, however, the events on his wavefront are spatially-equidistant from him. That is, as you said,

Right, that is probably a better terminology. The important point is that at any event (location in space and time) there will be a radio signal from A if and only if there is also a light signal from B, even though A and B were moving at different speeds when the signal was emitted.

Different observers parameterize this unique light cone differently, because they have different ideas of what events are simultaneous.

 

[matheinste]

Hi Jesses M. I was not questioning your understanding of the subject just trying to comment generally on the questions arising from the original question.

Secondly regarding any difference in meaning on the subject of emitters remaining central to expanding spheres of light, if when you say " a frame in which an emitter is moving " - you mean a frame which an emitter is moving relative to, then we agree. An observer in a frame moving relative to the emitter will not see the emitter remaining central to the light sphere.Any misunderstanding was probably caused by my not being perfectly clear as to what I meant and I apologise for this. I know that what you say is correct regarding this and there is perhaps a mis-use of phraseology on my part.

I know that we both agree on the answer to the original post that because of a lack of universal rest frame we cannot tell from the proposed experiment even if perfectly defined whether the ship is in motion relative to anything

Bye.

 

[marlos jacob]

Your diagrams are fine, but they shed no light on the question I keep asking you about, namely, what do you mean when you say two different events (specifically the emission of a light pulse from A and the emission of a light pulse from C) happen at the "same time"?

Dear Mr Jesse.
I just have to suppose that the two pulses, from A and from C, depart at the same T=0, on the spaceship, toward B. And this reasonable and acceptable in this thought experiment. Any acceptable and correct method to make the synchronization of the clocks on A and C is valid for the purpose of the experiment.

 

[JesseM]

Dear Mr Jesse.
I just have to suppose that the two pulses, from A and from C, depart at the same T=0, on the spaceship, toward B.

When you say "on the spaceship", do you mean according to the definition of simultaneity used by the rest frame of the ship? (someone could be 'on the spaceship' in the sense of being inside it but have a different rest frame than the ship, like if they were walking from one end of the ship to another) If so, then using this definition of simultaneity ensures that the two light pulses always reach B at the same moment, regardless of the motion of the ship. Again, if you choose a frame where the ship is moving (as you seemed to do in the diagrams you provided), then if you defined the scenario so that the pulses were emitted simultaneously in the ship's rest frame, that means that in this new frame the pulses were not emitted simultaneously, and were in fact emitted with just the right time offset so that they reach B at the same moment even though it took longer for the pulse to go from A to B than it took for the other pulse to go from C to B (or vice versa). What part of this are you having trouble understanding? Would you like to see a numerical example?

 

[matheinste]

Hello everyone.

Surely if A-B and C-B are both x units apart then if c is the same for both then the time taken for light to travel the distance x between them is the same under all circumstances ( any movement concerned is assumed to be inertial ).

If emissions in the spasceship frame are simultaneous then they are not simultaneous in any other frame relative to which the ship is moving and so will not meet at B as long as B continues to be defined as the mid point of the ship and not some point in space where the mid point of the ship was at emission time. The mid point of the ship and where this point was ( at emission time ) if the ship is in motion are of course not the same point and perhaps this is somehow the source of the misunderstanding on the part of Marlos Jacob.

 

[JesseM]

Surely if A-B and C-B are both x units apart then if c is the same for both then the time taken for light to travel the distance x between them is the same under all circumstances ( any movement concerned is assumed to be inertial ).

In the ship's rest frame, yes. But in any frame where the ship is moving along the A-B-C axis, the point B (the midpoint of the ship, which is moving in any frame where the ship is moving) will be moving away from the point where one pulse was emitted, and towards the point where the other was emitted, so if both pulses move at c in this frame, this frame must measure one pulse to take longer to reach B than the other. But of course, if the pulses were emitted simultaneously in the ship's frame, in this frame they were emitted at different times, with the difference in time being just the right amount to ensure both pulses reach B at the same moment.

If emissions in the spasceship frame are simultaneous then they are not simultaneous in any other frame relative to which the ship is moving and so will not meet at B as long as B continues to be defined as the mid point of the ship and not some point in space where the mid point of the ship was at emission time.

Unless I'm misunderstanding, you seem to have it backwards--If the emissions were simultaneous in the ship's frame, then that guarantees that they do both reach B at the same moment, if B is the midpoint of the ship. Again, in a frame where the ship is moving, one pulse has to travel further to reach B than the other because B is moving away from the point in space where one pulse was emitted and towards the point where the other was emitted, but the pulse that has to travel further will also have been emitted earlier in this frame, by just the right amount so that they both reach B at the same moment. Different frames can't disagree about local events, so if the pulses reach B at the same moment in the ship's rest frame, they must do so in every other frame too.

 

[matheinste]

Hello again JesseM.

Yes all observers must see the light fronts meet at what IS STILL B ( mid way between A and C ) in the ship's frame but not at what WAS B in other frames because the pulses are not simultaneous in the other frames and so it is not required that the fronts meet halfway between where the points A and C ( on the ship ) WERE ( in a frane moving relative to the ship or vice versa ) when the simultanous emissions happened in the ship's frame. Perhaps it woulld be clearer if the points were lablelled A*, B* and C* in another frame to emphasise this

I am explaining it exactly as it is explained in the many textbooks which use the rail train scenario as an example of non absolute simultaneity. I am sure we both mean the same but express things differently. I think the confusion may be that the points of emission and therefore their mid point are different in the two frames. this is fundamental to the whole argument.

Goodbye and good thinking. My brain hurts.

 

[JesseM]

Yes all observers must see the light fronts meet at what IS STILL B ( mid way between A and C ) in the ship's frame but not at what WAS B in other frames because the pulses are not simultaneous in the other frames and so it is not required that the fronts meet halfway between where the points A and C ( on the ship ) WERE ( in a frane moving relative to the ship or vice versa ) when the simultanous emissions happened in the ship's frame. Perhaps it woulld be clearer if the points were lablelled A*, B* and C* in another frame to emphasise this

Ah, I see what you mean. Yes, I agree the pulses don't have to meet at the position coordinate that's midway between the position coordinates where each pulse was emitted in that frame. But I was confused because it seemed like you were specifically saying that you still were using "B" as a label for the midpoint of the ship, when you said the two pulses "will not meet at B as long as B continues to be defined as the mid point of the ship and not some point in space where the mid point of the ship was at emission time." If B is defined as the midpoint of the ship, and the two pulses are emitted simultaneously in the ship's frame, you agree that the pulses will meet at B in all frames, right?

 

[matheinste]

Hello JesseM. I am pleased that we agree.

I hope Marlos Jacob is happy with the answers. If not would he let the forum know. As Metz said it is essential that he grasps this point if he wishes to progress further.

 

[marlos jacob]

Hello JesseM. I am pleased that we agree.

I hope Marlos Jacob is happy with the answers. If not would he let the forum know. As Metz said it is essential that he grasps this point if he wishes to progress further.

Dear Mr JesseM. and Mr Matheinste.
No, I am unfortunately not happy. And here are my reasons:

The explanations below are directed to you and to all our friends who have helped me, working in the question that originated this thread.

The Thought Experiment in this thread is very simple, and so it should be, because I am not a highly educated person in the Theory of Relativity. I only admire it and study it like many others amateurs. I developed that Experiment because I yet cannot accept the postulate that “there is not a physical experiment capable of detecting if a body is moving uniformly or if it is at rest”. The objective is to prove that this Experiment is possible. I yet think that my initial post of this thread, made more clear through the diagrams I appended to my reply #22, are sufficient to demonstrate it.

It continues clear to me that, for understanding and evaluating the Experiment, one needs not to know Relativity, or what a frame of reference is. It does not matter if observers outside the spaceship, and moving or not in relation to it, see the pulses from A and C departing at the same time or not; it does not matter if those observers see the pulses arriving at B at the same time or not. The Experiment does not need other observers to be consistent and valid. Also, it is not necessary for me to specify how the experiment manages to get the pulses departing simultaneously. We all know that there are more than one way to do this. All of us also know that to achieve this simultaneity inside the ship is something possible. So let's take it for granted. Also one need not to have an operator at each emitter (A and C) to perform this task. Also, it is not necessary to use frames of reference. This is only a concept, created by man, and is not part of nature. All those considerations can complicate things and do not help to prove if the Experiment is valid or not.

All that one needs to evaluate this Experiment is:
1. To know that the velocity of light is constant and equal to c, relative to anybody in space, independently of the velocity of this body;
2. To know that a pulse of light is different of a bullet, because the velocity of the pulse of light, after it leaves its source, suffers no influence of the velocity of that source (it is always c). As we know, a bullet performs differently ( its velocity, after it leaves its source, is clearly dependent of the velocity of that source). And one needs to know that this difference between them was the basic reason why I choose the pulse, and not the bullet, to design the Experiment;
5. To know only the basics of Kinematics.

Well, forgetting reference frames, and fixing our attention in the diagrams of my reply #22, I think that nobody, up to now, did refute that, for the observer in the spaceship, if he finds Ta>Tc, he can be confident that the spaceship is moving to right in space, with some positive velocity say +V; also nobody refuted that if he finds Ta<Tc, he can be confident that the spaceship is moving to the left in space with some negative velocity, say -V. In conclusion, if he finds Ta<>Tc, the spaceship is moving. And this becomes obvious because point B will be moving away or towards the points (A and C) from where the light pulses were emitted. Otherwise, or if he finds Ta=Tc, he is obliged, inclusive by logic, to be confident that the spaceship cannot be moving. This is pure kinematics and logics and I see no reason to complicate those simple facts. I ALSO CANNOT SEE WHY THOSE PHYSICAL FACTS CAN BE DENIED, OR MODIFIED IN THEIR INHERENT REALITY, ONLY BECAUSE SOMEBODY DECIDES TO ASSOCIATE A FRAME OF REFERENCE TO THE SPACESHIP. I mean that, if the spaceship is detected by this experiment to be moving, the fact that somebody decides to associate a restframe to it, cannot change the fact that it is moving, just because it was found that Ta<>Tc. If this mental operation (of associating a restframe to the spaceship) changes the observed and measured reality, then I only can suppose that this operation is not correct.

No matter if other bodies are moving with respect to our spaceship. The important thing is that, if the observer finds Ta=Tc, the spaceship ABC is not moving, and consequently its velocity has to be V=0. And any other spaceship DEF, in space, where the performance of the experiment yields Td=Tf, i.e., spaceship with V=0, also is not moving, and an observer in it will see the pulses from A and C to B, departing simultaneously and arriving simultaneously at B.

No matter if other observers, in others spaceships XYZ, where the performance of the experiment yields Tx<>Tz, i.e., spaceships with V<>0, sees the pulses of light departing from A or C at different times (not simultaneously); no matter if they see the pulses arriving at different or equal times at B. This is only a consequence of their having a velocity V<>0, in space, and all those different views are predicted and are in accordance to the Relativity Theory.

And now, it seems to me, we are at the crucial question. Up to now we realized that our observer could find, through the measurements provided by receptor B, that the spaceship could be detected eventually moving with some velocity V<>0, and could be detected eventually not moving, i..e, having a velocity V=0. The crucial question is: THOSE VELOCITIES V, ARE IN RELATION TO WHAT?

I think that the only reasonable answer is to say that V occurs in relation to spacetime. And one only can conclude that, if he finds V=0, the spaceship is in a special state of rest in spacetime. In absolute rest. And, as far as I can see, this does not invalidate the Theory of Relativity.

On the other hand, this peculiar situation, makes me to remember, that something similar happened when the famous Maxwell Equations, provided a certain constant value for the velocity of light: “c”. But those equations did not say nothing about TO WHAT REFERENCE FRAME this velocity was referred to. And Einstein concluded that this velocity was true in relation to anybody in the universe. And he was right. (Please no possible comparison between he and me is involved here: HE WAS CONFIDENT, I AM IN DOUBT; HE WAS A GENIOUS, I ONLY WOULD LOVE TO BE ONE ).

Someone could say that V=0 can never be found in the experiment. But this is not true. To demonstrate it, we can suppose that our spaceship, now supposed to be moving to the right with some velocity V, and far distant from any matter concentration, has a special rocket that, when ignited, has sufficient force to decelerate it. If we keep the rocket functioning by a sufficient long time, it will necessarily be able of reversing the velocity V of the spaceship, to –V. In this process, there will be a certain moment, or a certain lapse of time, during which the velocity of the spaceship is necessarily zero (V=0). In fact, how could any spaceship, moving to right along the X axis, to start moving to the left, without stopping? Of course it has to stop. Aditionally, the observer can keep the spaceship stopped only by turning off the rocket, if he does it exactly when receptor B indicates Ta=Tc. And, if when this is happening, i.e., while V=0, the observer emits the pulses, then, and only then, they will reach B simultaneously.

This is how I am seeing this experiment. It seems to prove that we can produce an absolute reference frame in space, and we can do it, for example, in a point between the Earth and the moon, where gravity is weak, just by managing a spaceship with sufficient powerful rockets to counter-balance the gravity forces, in such a way that receptor B, keeps continuously reading Ta=Tc. Or, in a tridimensional situation, reading TaX=TcX, TaY=TcY, and TaZ=TcZ. I mean, the three components of the velocity V of the spaceship, being zero, along the three axis X, Y and Z.

If you are an observer on that spaceship, you would see the earth, the moon, the planets and the sun, as well as galaxies, to run away from you, in directions that you can determine, and in velocities that you can measure with respect to this frame ( I personally would like to know which would be the velocity of the Earth with respect to that frame. Certainly it will not be 30 km/sec). On the other hand, with the time running, it is quite probable that you would see some other celestial bodies (stars, galaxies, etc), approaching you, also in velocities and directions that you could measure in absolute terms. Of course, to keep the spaceship in the same place, in the spacetime, it has to have sufficient combustible to the rockets, and automatic mechanism to ignite the appropriate rockets every time that the approaching of some celestial body brings new gravity forces to be counter-balanced by the rockets in such a way to keep the spaceship with Vx=Vy=Vz=0, i.e., to keep it in the same place, i.e., to keep it not moving. Do we have sufficient technology and resources to make it by one year ? Or by only 15 days? Or by half an hour?.

If this thought experiment is consistent and valid, it would be worthwhile to try to make such spaceship.

But we must remember that to have the absolute reference frame, it is not sufficient only to counter-balance gravity. It is necessary, also, to manage the rocket so that you measure Ta=Tc.

Thank you for being tolerant with my dreams, and excuse-me for talking so much this time.

I would like to hear from you.

 

[matheinste]

Hello again Marlos Jacob. please don't feel that you are wasting my time. I feel it important that we should all seek the truth. For now I have only one comment bit if requested will give a much more lengthy reasoning as far as possible not referring to frames or other observers outside the ship.

You say--
"" I think that the only reasonable answer is to say that V occurs in relation to spacetime. And one only can conclude that, if he finds V=0, the spaceship is in a special state of rest in spacetime. In absolute rest. And, as far as I can see, this does not invalidate the Theory of Relativity--""

This contradicts the basic postulate of Relativity which denies an absolute or special frame of rest. If there was such a frame then your reasoning WOULD be valid and motion relative to this preferred frame could be detected.

Goodbye for now Matheinste.

 

[JesseM]

It continues clear to me that, for understanding and evaluating the Experiment, one needs not to know Relativity, or what a frame of reference is.

Well, you at least need a procedure for "synchronizing" the clocks at A and C. And if you want to predict what will actually happen when the signals are sent, you need to use relativity to predict it.

It does not matter if observers outside the spaceship, and moving or not in relation to it, see the pulses from A and C departing at the same time or not; it does not matter if those observers see the pulses arriving at B at the same time or not.

But it was you who introduced the idea that the spaceship might be "moving"--your diagrams illustrate it moving the the left. Obviously the ship is not moving in its own rest frame, so these diagrams only make sense as the perspective of an observer or frame that the ship is moving relative to.

In any case, without bringing in the concept of reference frames, I can tell you right now what the result of the experiment will be--if you use the Einstein synchronization procedure to synchronize the clocks at A and C, then the pulses are sent from A and C at the "same time" on the clocks, then it is guaranteed that the two pulses will always meet at B at the same time--there is no way it can be otherwise.

Remember the Einstein synchronization procedure is itself based on light. One way of stating the Einstein synchronization procedure would be to set off a flash at B, and then set the clocks at A and C to read the same time (say, 12:00) at the moment the light from the flash hits them. So isn't it obvious that if you "synchronize" the clocks at A and C in this way, and then A and C send return pulses back to B at the same time according to these clocks, the return pulses will meet B simultaneously? After all, if you take a film of the light traveling from B to A and C, with each clock reading 12:00 when the light hits them, it will look precisely like a backwards version of a film of A and C sending light towards B when they read 12:00, and the light converging on B at the same moment.

If we actually figure out the coordinates of all these events in some frame where the ship is in motion, we can see how this works explicitly. Suppose we are in a frame where the ship is traveling at 0.5c to the left, and in this frame the distance between A and B is 6 light-seconds, as is the distance between B and C. Suppose that at t=0 seconds in this frame, the coordinates of all three points are:

A is at x=50 light-seconds
B is at x=56 light-seconds
C is at x=62 light seconds

Also suppose that at t=0 seconds, B sends out a flash of light, in order to synchronize the clocks at A and C. After 4 seconds, the pulse moving in the direction of C will have traveled 4 light-seconds to the right, so it'll now be at x=56+4=60 light-seconds; meanwhile, since the ship is moving at 0.5c it'll have moved 2 light-seconds to the left, so C will be at x=62-2=60 light seconds. So, at t=4 seconds in this frame, the light pulse from B reaches C, and C sets its clock to read 12:00 (or whatever time you like).

Then at t=12 seconds in this frame, the light pulse moving in the direction of A has moved 12-light seconds to the left, so it'll be at x=56-12=44 light-seconds. Meanwhile, since the ship is moving at 0.5c to the left, A will have moved 6 light-seconds to the left in this time, so it'll be at x=50-6=44 light-seconds. So, at t=12 seconds, the light pulse from B reaches A, and A sets its clock to read 12:00. Remember, although A and C set their clocks to 12:00 at different times in this frame--C at t=4 seconds, and A at t=12 seconds--according to the Einstein synchronization procedure these clocks are defined to be "synchronized" in the rest frame of the ship.

Now, suppose that A and C have both decided that they will send return pulses back to B when their own clocks read 12:00. So at t=4 seconds, C sends a pulse back to the left, in the direction of B. At the moment the pulse is sent, C is at x=60 light-seconds, and B is at x=54 light seconds. Then 12 seconds later, at t=16 seconds, the light pulse has moved 12 light-seconds to the left, so it's now at x=60-12=48 light-seconds, while B has moved 6 light-seconds to the left, so it's now at 54-6=48 light-seconds. So, this is the time when the pulse from C reaches B in this frame, at t=16 seconds.

Meanwhile, at t=12 seconds, A's own clock read 12:00, so it sent a light pulse to the right, in the direction of B. At the moment the pulse was sent, A was at x=44 light-seconds, while B was at x=50 light-seconds. 4 seconds later, at t=16 seconds, the light pulse moved 4 light-seconds to the right of B, and was at x=44+4=48 light-seconds; meanwhile B had moved 2 light-seconds to the left, and was not at x=50-2=48 light-seconds. So, again we find that the light pulse from C reached B at t=16 seconds, just like the light pulse from A. Even though in this frame the signals from A and C were sent at different times, they both reached B at the same time. This was guaranteed by the fact that the clocks at A and C were themselves synchronized using light-signals from B, using the Einstein synchronization procedure.

If you still disagree that the light signals from A and C are guaranteed to reach B at the same moment as long as clocks at A and C are synchronized using the Einstein synchronization procedure, please take the time to make sure you follow this example and see how it works. It might help to draw diagrams of the position of the ship at each of the following 4 times in this frame:

t=0 seconds: synchronization signals sent from B to A and C
A at x=50 ls
B at x=56 ls
C at x=62 ls

t=4 seconds: synchronization signal from B reaches C, C sets clock to 12:00, and sends return signal to B
A at x=48 ls
B at x=54 ls
C at x=60 ls

t=12 seconds: synchronization signal from B reaches A, A sets clock to 12:00, and sends return signal to B
A at x=44 ls
B at x=50 ls
C at x=56 ls

t=16 seconds: return signals from A and C, sent when clocks at A and C both read 12:00, converge at B
A at x=42 ls
B at x=48 ls
C at x=54 ls

Do you disagree with any of the numbers I've given here? Do you disagree that even though the ship is moving in this frame, because the clocks at A and C were "synchronized" according to the Einstein synchronization procedure which involved sending signals from B, this ensures that the return signals from A and C to B both reach B at the same moment? Again, please make sure you follow this example and agree with all the numbers if you still are not convinced that signals from A and C always reach B at the same moment regardless of the motion of the ship.

Also, it is not necessary for me to specify how the experiment manages to get the pulses departing simultaneously.

It is necessary for you to understand that there is no universal definition of what it means for the pulses to depart simultaneously. If the pulses depart simultaneously in the frame where the ship is at rest, the pulses depart non-simultaneously in any frame where the ship is moving--do you agree? And do you agree that as long as the pulses are sent "at the same time" according to clocks at A and C which are synchronized in the rest frame of the ship (meaning they have been synchronized using a pulse from B to A and C, with both set to the same time when the light hits them), then this guarantees that the pulses will both reach B at the same time, no matter how the ship is moving? There is no possible way that the clocks at A and C could have been synchronized using the Einstein synchronization procedure and yet the pulses could fail to reach B at the same time!

Also, it is not necessary to use frames of reference. This is only a concept, created by man, and is not part of nature.

But neither are the words "at the same time" a part of nature. If there are two events happening at different locations, like a pulse sent from A and a pulse sent from C, the only way you can use the words "same time" or "different time" is if you either have a reference frame which assigns time-coordinates to the two events, or if you have a physical procedure for synchronizing clocks which were right next to each event when they happened. Both of these ideas are also "created by man"! Nature doesn't have a single correct answer to whether the events "really" happened at the same time, any more than Nature has a single correct answer to whether two objects in space "really" have the same x-coordinate or a different x-coordinate.

All that one needs to evaluate this Experiment is:
1. To know that the velocity of light is constant and equal to c, relative to anybody in space, independently of the velocity of this body;

And how exactly do you think it's possible to make sense of "velocity" without a coordinate system? To measure an object's one-way speed, I need two clocks which I have "synchronized" according to some procedure and which lie a fixed distance D apart, and then I note the time t1 that it passes the first clock and the time t2 it passes the second, and then I calculate distance/time, i.e. D/(t2-t1). Without a way to define whether two clocks at different locations are "synchronized" or not, the notion of "speed" makes no sense whatsoever! And again, Nature has no single definite answer to whether two clocks are synchronized or not, you can only say whether they are synchronized in one frame or another.

5. To know only the basics of Kinematics.

Well, look over my numerical example above, and see if it fits with your understanding of kinematics.

Well, forgetting reference frames, and fixing our attention in the diagrams of my reply #22, I think that nobody, up to now, did refute that, for the observer in the spaceship, if he finds Ta>Tc

The observer on the ship can never find that Ta is different than Tc, not if his clocks were synchronized using the Einstein synchronization procedure, which is itself based on the assumption that light takes the same amount of time to go from B to A that it takes to go from B to C! That's the whole basis for this form of synchronization--you set off pulses going in both directions from B at a single moment, and then you set clocks at A and C to read the same time at the moment the pulses reach them. If you think that there is any way possible that an observer could synchronize clocks at A and C using this procedure, yet not find that according to these clocks light takes the same amount of time to go from A to B as it takes from C to B, then you really need to think about it more carefully, because the procedure itself guarantees that the measured time (again, according to the clocks 'synchronized' using the procedure) must be identical.

I ALSO CANNOT SEE WHY THOSE PHYSICAL FACTS CAN BE DENIED, OR MODIFIED IN THEIR INHERENT REALITY, ONLY BECAUSE SOMEBODY DECIDES TO ASSOCIATE A FRAME OF REFERENCE TO THE SPACESHIP.

There are no "physical facts" which are modified by using a frame of reference; you're just wrong about what the physical facts are in the first place. Again, if the clocks at A and C are synchronized using the Einstein synchronization procedure, it is absolutely impossible that pulses sent "at the same time" according to these clocks would fail to meet at B at the same time (assuming the ship does not accelerate, of course).

 

[MeJennifer]

marlos jacob, after 4 pages of argument, I am curious, are you arguing that relativity is in some way wrong or is there something you do not understand?

If it is the first option then there is no point since this forum was created to help people understand relativity not to argue against it.

 

[marlos jacob]

The observer on the ship can never find that Ta is different than Tc, not if his clocks were synchronized using the Einstein synchronization procedure

Thank you Mr JesseM and Mr Matheinste, for your genuine desire to help and for your beeing so patient with me. I have studied the explanation of Mr JesseM last post. I checked all the example, and inclusive used the Lorentz equations and spacetime diagrams to verify what you have exposed. Everything looks ok and I have to agree that all is absolutely consistent with the Relativity Theory, supposing, as Mr JesseM said above, that the clocks were synchronized using the Einstein's procedure.

I then decided to change the Experiment so that we do not need two clocks, avoiding, consequently, the synchronization process. To achieve it, we can consider that A and C are just two mirrors. B, now, is capable of sending the pulses to A and C, both at time T=0. Those pulses wil depart toward to A and C, reflect back on the mirrors, and then reaching B, where the detector will register the times Ta and Tc the pulses needed to make their travels to the respective mirrors and back.

In this new format of the Experiment, is it also true that the observer will never find Ta<>Tc, regardless of the spaceship (uniform) movement? (At this point I should tell you that, considering the reasonings you made on your post, I think that your answer will be "YES". But I would like having it directly from you.

Thank you,
Marlos Jacob

 

[matheinste]

Hello Marlos Jacob. If the observer is in the spaceship YES.

Matheinste

 

[JesseM]

Hello Marlos Jacob. If the observer is in the spaceship YES.

I'd just add that if Ta and Tc now refer to the round-trip time for the signals to leave the center, hit the mirrors at either end, and return to the center, then the answer is actually "yes" regardless of which frame the observer is in--all frames will agree that the signals return to the center at the same moment. Also note that since this new experiment does not depend on any specific ideas about simultaneity or clock synchronization, you don't actually need relativity to get this answer, it would be equally true in Newtonian physics. For example, if instead of light waves you were using sound waves which always travel at the same speed in the rest frame of the air, and a platform moving relative to the air, then if sound waves are emitted from the center of the platform and reflected when the reach the edges, the echoes will return to the center at the same moment (although since there is no length contraction or time dilation in this Newtonian example, different frames would disagree about the speed of the two outgoing waves and the two incoming waves).

 

[Mentz114]

How nice to have this sorted out. Congratulations to everyone.

 

[RandallB]

I then decided to change the Experiment so that we do not need two clocks, avoiding, consequently, the synchronization process. To achieve it, we can consider that A and C are just two mirrors. B, now, is capable of sending the pulses to A and C, both at time T=0. Those pulses wil depart toward to A and C, reflect back on the mirrors, and then reaching B, where the detector will register the times Ta and Tc the pulses needed to make their travels to the respective mirrors and back.

Very good, you’ve duplicated the Michelson–Morley experiments, something to look up wiki… etc.

But you have not avoided synchronization you’ve defined it.
And simultaneity is the most important element that absolutely does apply to this problem.
Not the comment:

Also note that since this new experiment does not depend on any specific ideas about simultaneity or clock synchronization, you don't actually need relativity to get this answer, it would be equally true in Newtonian physics.

The signal is simultaneous when it returns to B because of two things:
1. The mirrors at A & C are in the same reference frame B.
2. The signals reflect (or are sent) at A & C simultaneously as measured in that reference frame B.

But notice, no other reference frame on your line will claim the reflections are simultaneous!
They all claim that one reflection occurs before the other depending on the direction that frame moves relative to your frame B.
That was the point Einstein was making with the lighting strikes you spoke of earlier. Understanding simultaneity is critical to understanding SR.

Also, note that you cannot use sound for synchronization if your frame is going though the air (i.e. not the air inside Einstein’s train).

Classical Michelson–Morley experiments hoped to detect an “ether” for light that would act air does for sound but could not. That’s what lead Einstein to SR, defining nature without an “ether” (more good reading).