Measuring The Relative Velocity Of Light

AI Thread Summary
The discussion centers on the interpretation of light's speed in relation to the Special Theory of Relativity. It argues that the speed of light is not constant for all observers and that the wavelength of light remains unchanged regardless of the observer's speed, while frequency is relative. The conversation critiques Einstein's conclusions drawn from De Sitter's observations of binary stars, asserting that relative motion affects how light is perceived rather than its inherent properties. It emphasizes that accurate measurements of light's speed must account for both the distance light travels and the observer's movement towards the source. Ultimately, the thread challenges the validity of the Special Theory of Relativity, asserting that fundamental misunderstandings about light's behavior contribute to its inaccuracies.
  • #51
Please Read All Before Responding

I am not sure anyone (except Geistkiesel) is trying very hard to understand what I have written. Special Relativity explains why we measure or calculate a change in wavelength while in motion relative to the source. What I have written explains that it is an error in measuring or calculating that causes us to measure or calculate a change in wavelength. Once this error is corrected, there is no change in the wavelength. If there is no change in the wavelength, then it makes no sense to use SR to prove me wrong. Think of it like this, we measure a change in wavelength and do not understand why. We then create a theory to explain why we measured a change. I am saying that we don’t need a theory to explain it since it was just a mistake in the way we measured/calculated it. I realize it sounds arrogant to say that everyone who has measured the speed of light has did it wrong, but I am asking you to put your emotions aside and take a rational look at it. As professionals you owe it to science to objectively view ideas from all perspectives despite your own prejudices. I am not asking you to agree with it, I am just asking you to understand it.

Anyone understanding my #1 post will realize that it is not really about SR. It is about the way we take measurements and how any motion between the object (being a car, a train, or light) and the test equipment will affect the results. I’m sure I will get ridiculed for this, but I want you to totally forget about Einstein and SR. If you are parked on the side of the road and a car passes by you at exactly 55MPH, and this is known to you, you can calculate the length of the car by knowing the amount of time it takes for the car to completely pass you. If it takes ¼ of a second to pass, then you know the car is 20.1666 feet long. This is because 20.1666 feet multiplied by 4 to find the distance traveled in one second equals 80.666 feet per second. 80.666 feet multiplied by 60 seconds equals 4,840 feet per minute. 4,840 feet multiplied by 60 minutes equals 290,400 feet per hour. 290,400 feet divided by 5280 (number of feet in mile) equals 55 MPH. Everyone should agree at this point.

This type of calculating will work every time. The only thing that will change this is if the car passing you changes speed, or you begin to move in your car. Now let's say you increased speed to a constant velocity of 10MPH towards the car that is going to pass you. Remember this has nothing to do with SR; it is only an examination of how we measure things. Here is what I want you to think about. How do you calculate the length of the passing car now that you are in motion? This is so basic it was probably the first thing they taught you in physics so you will have to go way back. The only way to accurately measure the length of the passing car while you are in motion is to account for the distance you have traveled. This is because you are trying to measure a length using a measured time period (the time it takes the car to pass) that is directly related to your speed. Increasing your relative speed reduces the amount of time it takes the car to fully pass you. It does not matter if you want to say you have increased speed, or the passing car has increased speed, as long as you account for the 10 MPH. If the 10MPH is not accounted for, then the speed of the passing car will never change and the length of the car will be reduced (sound familiar?). Everyone should still agree with me, just simple math, and here it is:

LENGTH OF THE PASSING CAR (wavelength)

(The distance the passing car travels in one second) (80.66 Feet)(This is a known value)
Added To:
(The distance you have traveled in one second) (14.66 Feet)
Then Multiplied by:
(The amount of time it takes ONE car to fully pass you) (.211538 Seconds)
Equals:
(The length of the car) (20.16 Feet)

TO FIND FREQUENCY (assuming there is chain of identical cars, bumper to bumper)

(Take 1)
Divided by:
(The amount of time it takes ONE car to fully pass you) (.211538 Seconds)
Equals:
(The number of cars that will pass in one second) (Or Frequency) (4.728 Cars)

TO FIND RELATIVE SPEED

(The distance the passing car travels in one second) (80.66 Feet)(This is a known value)
Added To:
(The distance you have traveled in one second) (14.66 Feet)
Equals:
(The relative speed between the 2 cars) (95.32 Feet per second)

TO FIND WAVELENGTH

(The relative speed between the 2 cars) (95.32 Feet per second)
Divided by:
(The number of cars that will pass in one second) (Or Frequency) (4.728 Cars)
Equals:
(The length of the car) (20.16 Feet)

TO FIND FREQUENCY

(The relative speed between the 2 cars) (95.32 Feet per second)
Divided by:
(The length of the car) (20.16 Feet)
Equals:
(The number of cars that will pass in one second) (Or Frequency) (4.728 Cars)


You should still agree with me, which means you must agree that the distance the observer has traveled must be included. Now let's take a look at what happens when we do not include the observer’s distance traveled:

This is what happens when you DO NOT include your distance traveled:

(Only the distance the passing car travels in one second) (80.66 Feet)(This is a known value)
Multiplied by:
(The amount of time it takes ONE car to fully pass you) (.211538 Seconds)
Equals:
(The length of the car) (17.06 Feet) We know this is wrong.

As I said in one of my earlier posts, the “amount of change to the length of the car” is equal to “the distance you have traveled”, divided by “the frequency”. (14.66 divided by 4.728 equals 3.1) (Also 3.1 added to 17.06 equals 20.16 which is the length of the car)
Take note that by not including your distance, you make the wavelength inversely proportionate to your frequency, which means the relative speed can never change. Sound familiar?

Even to this point everyone should still agree with me, all the above can be proved by anyone with a tape measure, a stopwatch, a calculator, and a couple cars.

The reason I wanted you to rationally integrate the above information without any SR prejudices, is so you can see how we ALWAYS have to include the distance traveled by the observer. This is a mathematical situation that takes place before Special Relativity. If SR is valid, then it should be measurable after accounting for the distance the observer has traveled.

If the distance the observer has traveled is not included when measuring cars, then you will measure a change in the length of the car that is inversely proportionate to the change in frequency, and the relative speed will never change.

If the distance the observer has traveled is not included when measuring light, then you will measure a change in the length of the wavelength that is inversely proportionate to the change in frequency, and the relative speed will never change.

Notice the similarities? Notice that the change in wavelength caused by not including the distance the observer has traveled equals the predicted change in wavelength using SR. The above math is correct, and is easily proven. I am pretty confident everyone will agree that when measuring cars, the distance the observer has traveled must be included. The question is why you wouldn’t include it when measuring light. To say we have to disregard it in order to measure the error that is caused by not including it, and then create a theory to explain it, is absurd. I would have no problem believing in SR if we could detect in while properly measuring for it. If you say my car scenario is invalid since it is not at relativistic speeds, then I ask you at what speed do you start ignoring the distance the observer has traveled?

For those of you who have never thought of the screen of an oscilloscope as representing a distance, consider the following. Light travels 186,000 miles in one second. If the screen of an oscilloscope (at rest relative to the source) represent a one second time period, then the screen will show all the cycles created by the light in one second. Since light travels 186,000 miles in one second and the screen represents one second, we can also say the width of the screen represents 186,000 miles since all the cycles on the screen multiplied by the wavelength will equal 186,000 miles. By applying a distance scale to the oscilloscope you can measure and see any change in wavelength on the screen. While in motion relative to the source, the distance that the screen represents must also include the distance the observer has traveled relative to the source (positive if towards, negative if away).

Also, the fact that you may not know the speed of the source (which I believe can be found using a spectrometer and a spectrograph) is irrelevant. Do the experiment with known values just as you would in the lab. Once the math is proven using known values, then it can be used to predict unknown values.
 
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  • #52
grounded said:
I am not sure anyone (except Geistkiesel) is trying very hard to understand what I have written.
I'm reading/writing in a bit hurry, don't much time right now, but I can tell you are mistaken.

grounded said:
Special Relativity explains
let's forget SR effects since the involved speeds are low.

grounded said:
If you are parked on the side of the road and a car passes by you at exactly 55MPH, and this is known to you, you can calculate the length of the car by knowing the amount of time it takes for the car to completely pass you. If it takes ¼ of a second to pass, then you know the car is 20.1666 feet long. This is because 20.1666 feet multiplied by 4 to find the distance traveled in one second equals 80.666 feet per second. 80.666 feet multiplied by 60 seconds equals 4,840 feet per minute. 4,840 feet multiplied by 60 minutes equals 290,400 feet per hour. 290,400 feet divided by 5280 (number of feet in mile) equals 55 MPH. Everyone should agree at this point.

It would help if you used metric system and simpler numbers.. Like, if relative speed is 55 meters/second and it takes 1/5 seconds to pass you, then the length of the car is 11 meters.

grounded said:
This type of calculating will work every time. Now let's say you increased speed to a constant velocity of 10MPH towards the car that is going to pass you. Remember this has nothing to do with SR; it is only an examination of how we measure things. Here is what I want you to think about. How do you calculate the length of the passing car now that you are in motion?

OK now you know that the relative speed is 65 MPH, not 55, of course. Then, using the same method you described above, the wavelength is calculated the same.

With my numbers, if relative speed increased to 66, it would take 1/6 seconds for it to pass you, and again 11 meters is calculated.

have to go now..

Edit: I'm back.
OK, so I calculated above the same length when we incresed the relative speed. I did not account for the traveled distance. I just used the new relative speed (which is supposed to be known), and the measured time for passage of the car. Note that the speeds wrt the road are not needed anywhere, just like the distances traveled wrt the road are not needed. All you need is to make measurements on the passing car, while sitting in your car. You can also directly measure the wavelength of the passing car, by comparing it with your own car. So in fact you can directly measure all of them: the relative speed, relative wavelength, and relative frequency.
 
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  • #53
grounded said:
I am not sure anyone (except Geistkiesel) is trying very hard to understand what I have written.

Grounded, we all understand it. That's because we all studied non[/color]relativistic physics before learning SR. It's just that you aren't understanding what we are saying. Let me explain.

Special Relativity explains why we measure or calculate a change in wavelength while in motion relative to the source. What I have written explains that it is an error in measuring or calculating that causes us to measure or calculate a change in wavelength.

What Russ and I have been telling you, and what you aren't understanding, is this:

The wavelength of the light in the rest frame of the source is not special. There's no reason to think that it is the "correct" wavelength, while all others are only "apparent". There's no reason whatsoever to use any correction for the distance the observer has traveled, and I'll explain why later on.

Once this error is corrected, there is no change in the wavelength. If there is no change in the wavelength, then it makes no sense to use SR to prove me wrong.

It does make sense to use SR to prove you wrong, because you yourself deduced from your hypothesis that the speed of light is not the same in every frame. And indeed, if your hypothesis is true, your deduction would be true also.

But the deduction is not true: The speed of light is the same in every frame.

I don't think you are seeing exactly how SR connects to your argument.

Think of it like this, we measure a change in wavelength and do not understand why. We then create a theory to explain why we measured a change. I am saying that we don’t need a theory to explain it since it was just a mistake in the way we measured/calculated it.

But the theory was not developed to account for wavelength measurements. The theory was developed for the exact reason I said it was developed: To maintain the invariance of the equations of electrodynamics when transforming from one inertial frame to another.

You said you came here to talk to professionals about this, yes? Please take the advice of this professional: You are never going to get out of these circles you are stuck running around in until you understand the problem above.

I realize it sounds arrogant to say that everyone who has measured the speed of light has did it wrong, but I am asking you to put your emotions aside and take a rational look at it.

No problem on my end. The question is, will you do the same?

As professionals you owe it to science to objectively view ideas from all perspectives despite your own prejudices. I am not asking you to agree with it, I am just asking you to understand it.

Understanding it is no problem. Your points are nothing new to me: physicists have to study nonrelativistic physics before learning SR. It's not that I don't understand you, it's that I understand that you are wrong.

Anyone understanding my #1 post will realize that it is not really about SR.

And now we come to Prejudice #1, that you must abandon if this is to make any progress. When you say that the speed of light is not the same to all observers, the logical implication is that Galilean relativity is correct and Special relativity is wrong. That is why I attempted to explain to you why this cannot be so. You can't state what you state on the one hand, and then refuse to listen to why it's wrong on the other, and expect this discussion to get anywhere.

It is about the way we take measurements and how any motion between the object (being a car, a train, or light) and the test equipment will affect the results. I’m sure I will get ridiculed for this, but I want you to totally forget about Einstein and SR.

I wish you were more interested in learning physics, because you would know that you would not be ridiculed for saying this. Do you know why?

Because I used the exact same approach in my post on Maxwell's equations.[/color]

I started with classical EM theory, and I assumed that SR was wrong, and I derived a prediction that is contrary to what we observe.

If you are parked on the side of the road and a car passes by you at exactly 55MPH, and this is known to you, you can calculate the length of the car by knowing the amount of time it takes for the car to completely pass you.

OK

This type of calculating will work every time. The only thing that will change this is if the car passing you changes speed, or you begin to move in your car. Now let's say you increased speed to a constant velocity of 10MPH towards the car that is going to pass you.

OK again.

The only way to accurately measure the length of the passing car while you are in motion is to account for the distance you have traveled.

Not OK.

You are wrong when you say that this is the "only way", and I know that I have explained it more than once in this thread. Please do what you ask of the rest of us and listen[/color] to our responses.

Again, with emphasis: There is no reason whatsoever to state that the observer has traveled any distance. Your statement reflects Prejudice #2, which you also must abandon: There is no way to even define[/color] absolute motion. We are not forced to say that the obserer is moving 10 MPH. We are perfectly free to say that the observer is at rest, and that the car under observation is moving towards him at 65 MPH (notice that I'm not taking SR into account). All the observer has to do is take the 65 MPH, multiply by the time required to pass, and we get the correct length.

All you have to do is use the relative velocity, and the time required for the car to pass, and you get the correct car length.

That is exactly what we do when we make measurements.[/color]

If the distance the observer has traveled is not included when measuring cars, then you will measure a change in the length of the car that is inversely proportionate to the change in frequency, and the relative speed will never change.

If the distance the observer has traveled is not included when measuring light, then you will measure a change in the length of the wavelength that is inversely proportionate to the change in frequency, and the relative speed will never change.

Notice the similarities?

Yes. But unlike you, I also notice the differences[/color]. This brings us to Prejudice #3, which you also must abandon if you are to see your way out of this error. Specifically, you are prejudiced towards the opinion that a stream of light pulses can be treated in the same way as a stream of cars. It can't![/color].

You are correct in saying that an observer errs in making a measurement of the length of the car using its ground speed of 55 MPH when the observer's own ground speed is 10 MPH in the other direction. The reason you are correct is that there is (according to pre-relativity) a relative velocity[/color] of 65 MPH between the two cars, and that is what must be used to get a correct result.

But what happens when we look at light? The relative speed never changes[/color], no matter what the speed of the source. The relative velocity between a light pulse and any observer is c. And since the speed of light is the same for everyone, no frame has any special claim to knowledge of the "correct" wavelength of any light pulse. All measurements are equally valid for their respective frames.

Your entire case rests on a rejection of that fact, and that is why you are wrong.

edit: typo
 
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  • #54
Tom Mattson said:
But we can see that he isn't transcending anything. He is making choices that lead to the physics of the 19th century, and we know that those choices are wrong.
Tom Can you see an exact repetition of Grounded'd maths and 19th century maths, specific?, as opposed to philosophyc?

What possible harm is there to explore it?. Why not look at his agenda and go as far as you can with it? If you spend two weeks arguing and no dicsernible difference in positions, or making an effort to steer him where he wants to go without constantly whispering in his ear "yoiu are going to fail?" then what is the harm either way. You would certainly get a different point of view and as a prevailing mainliner you need it, the experience, I mean.
 
  • #55
geistkiesel said:
Tom Can you see an exact repetition of Grounded'd maths and 19th century maths, specific?, as opposed to philosophyc?

Yes: He implicitly uses the Galilean velocity addition formula, which is known to be wrong.

What possible harm is there to explore it?. Why not look at his agenda and go as far as you can with it?

You either aren't reading, or aren't understanding my responses. I have explored the very same Galilean point of view held by Grounded, and I know exactly how far it goes: It runs itself into the ground. I do not know how to show it more explicitly than I already have.

If you spend two weeks arguing and no dicsernible difference in positions, or making an effort to steer him where he wants to go without constantly whispering in his ear "yoiu are going to fail?" then what is the harm either way.

First, our positions are diametrically opposite. That should be obvious to anyone who understands the issues involved. Second, the "harm" as you put it is letting scientific errors go uncorrected on a website that is supposed to be dedicated to scientific education. And third, I'm not telling him that he is "going to fail", I'm telling him that he is advocating a position that already has failed[/color], over 100 years ago.

You would certainly get a different point of view and as a prevailing mainliner you need it, the experience, I mean.

I can't recall just how many times I've already said it in this thread, but here I go again: Grounded's point of view is not "different" to me, in the sense of being "new". I was required to study it in all its gory details, and I know exactly why it can't be right. Readers who are interested in learning about real physics will make the effort to learn why it can't be right.

edit: typo
 
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  • #56
I can't recall just how many times I've already said it in this thread, but here I go again: Grounded's point of view is not "different" to me, in the sense of being "new". I was required to study it in all its gory details, and I know exactly why it can't be right. Readers who are interested in learning about real physics will make the effort to learn why it can't be right.

edit: typo
Are there any conditions where the moving frame photons are emitted before the photons in the rest frame? Can A(t') in the moving frame < A(t) in the stationary frame when the times are correlated?
 
  • #57
geistkiesel said:
Are there any conditions where the moving frame photons are emitted before the photons in the rest frame?

I can answer that only with a precisely defined setup.

Can A(t') in the moving frame < A(t) in the stationary frame when the times are correlated?

What is "A"?
 
  • #58
Tom, where did Maxwell discuss relative measurements of light? I was under the impression that Maxwell only discussed light from an, at rest relative to the source point of view. Wasn't it Einstein who claimed it must be the same for all frames of reference? Didn't Maxwell basically say that since space offers no resistance to light, than no matter how fast the source is traveling, the light would always travel away from the source at the speed of light? Which one of MAXWELL'S equations (please try to keep it in layman terms) describes what we will measure if the light source is traveling towards us?

I still don’t think you understand my point. In order for you to measure a relative effect, you have to take something out of a formula that we know works.
 
  • #59
Using the same oscilloscope to measure light, you will not read a change in wavelength if you include the distance the observer has traveled, just as with the train. Are you saying that an oscilloscope must include the distance traveled by the observer with all of our measurements, except light? You do realize that if the distance traveled by the observer is not included, then ANYTHING you measure will NEVER show a change in relative speed? If we include the distance when measuring light, the need for SR disappears since there is no change in the wavelength. The only way to measure a change in wavelength caused by the observer’s speed, is to ignore the distance the observer has traveled.


RA*******************
Your case would be greatly strengthed if you could give the mathematical formulation of your distance ideas.
**************************
G The wavelength is the distance light has to travel away from the source in order to complete one cycle.


*****************8
RA NO. Wavelenth is the distance between, say, consecutive maxima of a periodic wave. This comes to us from the mathematicians, and has been in vogue for several centuries.





G That length is the same whether you are there, or not. If you increase speed towards the light, you will pass over those lengths at a faster rate. They do not change in length as you increase speed, only the amount of time spent over each wave changes.
If you believe the observers speed does change the wavelength, then why can we only measure it when we ignore the distance the observer has traveled?[/QUOTE]

**************88

RA With my poor grasp of your subtleties. I don't understand your argument.
But standard analysis of light waves indicates the transformation of frequency and wavelength occurs no matter what or where the source is.
The wave function is, typically, the exponential of

i *( lam*x-nu*t)

where lam is the wavelength and nu the frequency, and i is the squareroot of -1. This form is invariant under Lorentz transforms. If x -> x-x0, where x0 is a source coordinate, the invariance still holds. The fact that the (lam,nu) is a four-vector guarantees the standard formulas for frequency and wavelength transformations. This is pretty basic stuff, explained in more detail in most any text on E&M or relativity. If you want to convince the physics community that your notions are true, then you will need to master the conventional arguments, and show exactly where you are right and the rest of us are wrong.

One thing that is often missed by anti-relativists is the fact that the theory of electromagnetic radiation from moving charges, based on the so-called Lienard-Weichart potentials. is quite dependent on the strictures of Special Relativity. This radiation theory works like a charm. This theory, in fact is one of the towering triumphs of Special Relativity, and will not fall easily.

If you can do the math, and explain the phenomena critical to your arguments, preferably by experiment, your chances for a Nobel Prize are excellent.

Regards,
Reilly Atkinson
 
  • #60
I'm replying to a post of Grounded done early in this thread. RA
 
  • #61
reilly said:
Your case would be greatly strengthed if you could give the mathematical formulation of your distance ideas.


Did you happen to read post #52?
 
  • #62
grounded said:
Wasn't it Einstein who claimed it [C] must be the same for all frames of reference?
Einstein didn't "claim" it, he used the already known fact as the first postulate in his new theory. Big, big difference.

I like Tom's way of listing your predjudices here. I think this one (#1) is the most serious: That the speed of light is constant is not simply some arbitrary assumption made for for convenience in the math of SR. It is high precision experimental fact and you need to accept that.
I still don’t think you understand my point. In order for you to measure a relative effect, you have to take something out of a formula that we know works.
Take what out of what formula?
 
  • #63
grounded said:
Did you happen to read post #52?

Have you read #53?

Let me try again:

"The distance the passing car travels in one second". This is speed.

"The amount of time it takes ONE car to fully pass you". This is 1/frequency.

So, you are calculating the wavelength by dividing speed by frequency.

OK. Here is your mistake:

grounded said:
This is what happens when you DO NOT include your distance traveled:

(Only the distance the passing car travels in one second) (80.66 Feet)(This is a known value)

What is this "known value" of 80.66? It is in fact the speed of the car wrt the road. The answer comes out wrong because of dividing the speed wrt the road by the frequency wrt the observer. You can't mix measurements made wrt different frames. And nobody is making such a mistake as you imagine.

To calculate the wavelength of light:
1- Measure the speed of light wrt yourself.
2- Measure the frequency of light wrt yourself.
3- Divide the speed by frequency.

Please note that at step #1, we don't just use a speed measurement made in some other frame (as "known value"), we really measure it wrt ourself. Therefore the mistake you imagine is not being made.

But, the value we measure wrt ourselves turns out to be the same value measured made in any other frame, c. So, no, we aren't neglecting the extra speed or traveled distance, it is light itself doing this.

And to make it really clear:

You don't have to assume speed of light constant wrt all frames. You just measure it in those frames. It just turns out to be always equal to c. Back to your car example, it would be funny if you measured the relative speed of the car to be constant. But this is the case with light. This is experimentally supported.
 
  • #64
grounded said:
Tom, where did Maxwell discuss relative measurements of light? I was under the impression that Maxwell only discussed light from an, at rest relative to the source point of view.

To tell you the truth, I don't know what Maxwell thought about light propagation under coordinate transformations. It really doesn't matter (except perhaps for historical interest) because today we have better information than he ever could have had.

Wasn't it Einstein who claimed it must be the same for all frames of reference?

Yes, he was the first to claim that. And since then, it has been confirmed by experiment.

Didn't Maxwell basically say that since space offers no resistance to light, than no matter how fast the source is traveling, the light would always travel away from the source at the speed of light? Which one of MAXWELL'S equations (please try to keep it in layman terms) describes what we will measure if the light source is traveling towards us?

I've already explained this. Will you please try to pay attention?

It isn't anyone of Maxwell's equations that tells us that the speed of light is independent of the speed of the emitter. It is the requirement of the invariance of all of them[/color] that leads to the prediction.

I still don’t think you understand my point.

Look in the mirror.

I understand your point perfectly. It's just that you are wrong. Try to get over your ego and see that.

In order for you to measure a relative effect, you have to take something out of a formula that we know works.

And pray tell, what formula is that?
 
  • #65
Hum...

Every time i enter this part of the forum i laugh a lot, but this time there is something i cannot understand, why Tom Mattson and russ_watters are still trying to convince these insane people about things already founded 100 years ago. IF SR is wrong, the error will be only apparent near some cut off like plank lenght. You see, all those equations like dirac's and klein gordon and others, come just from representations of poincare group, so if you don't like SR you have to give us other group so we get the equations and test it against the experiment, hum... i talked too much
 
  • #66
you'll get to laugh soon, because special relativity falls this weekend.

it will be hysterical to set science back a 100 years. we'll all have a good chuckle I'm sure
 
  • #67
proper inmformation exchange processes crucial to defining SR

Some observations on the corfrectness of information exchange re om_Mattson v Grounded.
Tom Mattson said:
Grounded, we all understand it. That's because we all studied non[/color]relativistic physics before learning SR. It's just that you aren't understanding what we are saying. Let me explain.



What Russ and I have been telling you, and what you aren't understanding, is this:

The wavelength of the light in the rest frame of the source is not special. There's no reason to think that it is the "correct" wavelength, while all others are only "apparent". There's no reason whatsoever to use any correction for the distance the observer has traveled, and I'll explain why later on.



It does make sense to use SR to prove you wrong, because you yourself deduced from your hypothesis that the speed of light is not the same in every frame. And indeed, if your hypothesis is true, your deduction would be true also.

Grounded is saying that current system (SR) for measurement of wave length is flawed by not taking ino account the motion of the observer. A counter argument using SR is, therefore, pecipitous, premature at this point in the exchange. You repeatedly claim Grounded doesn'yt understand what you are etelling him, which isn't a scientific arguement, or reasoning.

tom_mattson said:
But the deduction is not true: The speed of light is the same in every frame.

I don't think you are seeing exactly how SR connects to your argument.



But the theory was not developed to account for wavelength measurements. The theory was developed for the exact reason I said it was developed: To maintain the invariance of the equations of electrodynamics when transforming from one inertial frame to another.

Same basic observation. You try to submerge Grounded before you have understood his complete argument. Your intervention as he goes along voids your responses as having scientifically value. All your history rationale etc do not go to Grounded's thesis. I cannot understand why you have been unable to see what G is saying. Your misunderstanding is manifest with premature interjection of SR arguments, prior to the defined completion of the developing thread.

This not a minor point, none are. If you look closely Tom you will see Grounded does not assume SR is wrong befoe he starts, but you assume SR is correct and from this you make the assumption that Grounded has started with an asumed contradictiion with SR..

How many times do you have to observe that your intense application of SR themes does not attractg all the curious scientists, nor is it convincing?

tom_wattson said:
You said you came here to talk to professionals about this, yes? Please take the advice of this professional: You are never going to get out of these circles you are stuck running around in until you understand the problem above.



No problem on my end. The question is, will you do the same?



Understanding it is no problem. Your points are nothing new to me: physicists have to study nonrelativistic physics before learning SR. It's not that I don't understand you, it's that I understand that you are wrong.

Tom look at this exchange and point to scientific worth. Grounded understands you, but he didn't approach you as a "professional" to hear you echo SRT. He wanted a critique of his system and he wanted the criitique fully void of attempted refutations and corrections such as "Because SR says so [etc].

You are trying to obtain a surrender . The "circles" are your ["standard model"] insertions into this thread, not Grounded. At no instant have you made an attempt to analyze a completed "model" by Grounded ,in his tems. Try hard to see your approach to solutions to these situaitions is problematics



tom_mattson said:
And now we come to Prejudice #1, that you must abandon if this is to make any progress. When you say that the speed of light is not the same to all observers, the logical implication is that Galilean relativity is correct and Special relativity is wrong. That is why I attempted to explain to you why this cannot be so. You can't state what you state on the one hand, and then refuse to listen to why it's wrong on the other, and expect this discussion to get anywhere.



I wish you were more interested in learning physics, because you would know that you would not be ridiculed for saying this. Do you know why?

I know the "why" answer. From the example here :the illogical insertion of counter arguments before a structure is dynamically defined is sufficient to negate the worth of the counter point at tha position in the new theory.

tom_matteso said:
Because I used the exact same approach in my post on Maxwell's equations.[/color]

I started with classical EM theory, and I assumed that SR was wrong, and I derived a prediction that is contrary to what we observe.



OK



OK again.



Not OK.

You are wrong when you say that this is the "only way", and I know that I have explained it more than once in this thread. Please do what you ask of the rest of us and listen[/color] to our responses.

Again, with emphasis: There is no reason whatsoever to state that the observer has traveled any distance. Your statement reflects Prejudice #2, which you also must abandon: There is no way to even define[/color] absolute motion. We are not forced to say that the obserer is moving 10 MPH. We are perfectly free to say that the observer is at rest, and that the car under observation is moving towards him at 65 MPH (notice that I'm not taking SR into account). All the observer has to do is take the 65 MPH, multiply by the time required to pass, and we get the correct length.

when a SRT makes a claim that a train can make the assumption that the platifrm is moving and the train is motionless may have an appetizing appeal for SRT, but it is unambiguously more than irrational, especially when we see that the passengers on the train are seen as the ones reacting to acceleration, the motion involved frame.. SR says the acceleration is of no consequence to SR under the conditions just described, that the train, the frame the people, the seats and weels and coffe tables are not in a higher energy state than the obsjects on the platform. You can use your theory all day long, but when you get to the "we can look from the train frame of the stationary frame equivalently, that I drop out of the conversation, becuse any assumption that ignores the accelertation, at the very minimum, is incomplete.

What seems so beautiful to your math mind make my mind reject and I ain't changing until the model is presented in a full rational mode.

All you have to do is use the relative velocity, and the time required for the car to pass, and you get the correct car length.

mat_mattson said:
That is exactly what we do when we make measurements.[/color]



Yes. But unlike you, I also notice the differences[/color]. This brings us to Prejudice #3, which you also must abandon if you are to see your way out of this error. Specifically, you are prejudiced towards the opinion that a stream of light pulses can be treated in the same way as a stream of cars. It can't![/color].

You are correct in saying that an observer errs in making a measurement of the length of the car using its ground speed of 55 MPH when the observer's own ground speed is 10 MPH in the other direction. The reason you are correct is that there is (according to pre-relativity) a relative velocity[/color] of 65 MPH between the two cars, and that is what must be used to get a correct result.

But what happens when we look at light? The relative speed never changes[/color], no matter what the speed of the source. The relative velocity between a light pulse and any observer is c. And since the speed of light is the same for everyone, no frame has any special claim to knowledge of the "correct" wavelength of any light pulse. All measurements are equally valid for their respective frames.

Your entire case rests on a rejection of that fact, and that is why you are wrong.

edit: typo
Same basic flaws.

I f you looked at light like Grounded suggests you don't get the same answer as SR, as you measue somthing other than you would if you were doing some SR experiment.

try to see the problem. not from the eyes of an attorney who is trained to scrutinize through an adersarry process. Science is an objective , empathetic process, where Tom, there aren't any winners. Even if, EVEN IF, SR were to suffer a manifest blow, even a fatal one, so what?

It appears that your collective scientific position is the injection of SR theory for all problems. Tom, this is my observation, my perception.


You aren't seeing the pocess here as a practical model.

You should be as helpful as possible in assisting Grounded in every conceivable angle in developing his thread and model. You aren't meeting his stated request. He was looking for assistance, and you demand he learn SR, when he wants to lern his ownm model, which he wants to develop in the theory development forum..
 
  • #68
OK Tom... let's say we do an experiment with some known values.

The distance light travels away from the source in one second = 186,000 miles
The distance the observer travels towards the source in one second = 4,000 miles
The wavelength of the light while at rest relative to the source = 1 mile
The above are known because we set up the experiment.

The relative frequency of the light measured by the observer while in motion = 190,000 cycle per second

The relative distance traveled in one second, divided by the relative frequency, equals the relative wavelength, right?

So (186,000 + 4,000) divided by 190,000 equals the wavelength (1 mile) Agree?

The part of the formula that you throw out is “the distance the observer has traveled relative to the source”.
You throw it out by not including it into the scale of the equipment used to measure the speed or wavelength, which is why you will always measure the total relative distance traveled by the light and the observer to be 186,000 miles.
I agree that you are not consciously throwing this out; you just never realized it was missing.

If you do not include the 4,000 miles the observer has traveled you will measure the following:
THIS NUMBER IS CAUSED BY INCORRECT MATH; IT IS NOT CAUSED BY SR.
(186,000 + 0) divided by 190,000 = .9789 miles

Is not that the wavelength you predict the observer will measure due to SR?

If you tell me that you are dividing the frequency into 186,000 miles because that is what you measured, then I’m telling you that you are measuring it wrong. Since we set up the experiment, we know the observer is traveling towards the source at 4,000 miles per second. We also know that light will travel away from the source at 186,000 miles per second. We do not really even have to measure these values. We know the total relative distance traveled is 190,000 miles per second.

The observer knows he is traveling towards the light source at 4,000 miles per second.
The observer knows the light will travel 186,000 miles away from the source in one second.
The observer knows the relative distance traveled is 190,000 miles per second, this is a fact.

If and when the observer measured the total relative distance traveled in one second to only be 186,000 miles, he was smart enough to know that he has some how measured it incorrectly. He knows this for a fact because he knows the distance he was from the source when he started the experiment, and he knows the distance he is from the source when he completed the experiment. Again, he knows this because we set up the experiment. He also knows the light is traveling 186,000 miles per second away from the source. Knowing all that for a fact, he KNOWS the total relative distance traveled must equal 190,000 miles per second regardless of what he measured.

When the observer takes the total relative distance traveled in one second (190,000 miles) and divides it by the total relative frequency (190,000 cycles per second) he will get the relative wavelength (1 mile), which is the same length he measured before the experiment while at rest relative to the source.

You claim the observer will measure a change in wavelength due to SR.
Your proof is that we do.
My claim is that you and everyone else has measured the total relative distance traveled incorrectly by not including the distance the observer has traveled. After all, isn’t the total relative distance equal to the sum of the distance light has traveled relative to the source, added to the distance the observer has traveled relative to the source?

If you measure a ray of light with an oscilloscope while in motion relative to the source, where is the distance you have traveled relative to the source? How do you account for it? You don’t, and that is why you will never measure a change in speed.

Your measured change in the wavelength (.0211 miles) will be equal to the distance the observer has traveled (4,000 miles) divided by the measured frequency (190,000 cycle per second). This works BECAUSE the measured change in wavelength is caused by ignoring the distance the observer has traveled.

There is no change in the measured wavelength when you account for the distance the observer has traveled.

If SR exists, then it should be measurable after we include the distance the observer has traveled relative to the source.
 
  • #69
wespe said:
The answer comes out wrong because of dividing the speed wrt the road by the frequency wrt the observer. You can't mix measurements made wrt different frames.

EXACTLY

The frequency wrt the observer equals the number of cycles that pass by you due to the velocity of the light, added to the number of cycles passed caused by your speed towards the source.

The total distance traveled per second (speed) wrt the observer equals the distance light has traveled relative to the source, added to the distance the observer has traveled relative to the source
 
  • #70
Tom Mattson said:
But we can see that he isn't transcending anything. He is making choices that lead to the physics of the 19th century, and we know that those choices are wrong.

You forgot the disclaimer "choices are wrong wrt SR" (asming SR "right"
 
  • #71
grounded said:
The relative frequency of the light measured by the observer while in motion = 190,000 cycle per second

The relative distance traveled in one second, divided by the relative frequency, equals the relative wavelength, right?

So (186,000 + 4,000) divided by 190,000 equals the wavelength (1 mile) Agree?

No. Tell me how this doesn't imply that I am measuring the light to be moving at 190,000 miles/s


grounded said:
The part of the formula that you throw out is “the distance the observer has traveled relative to the source”.

...
THIS NUMBER IS CAUSED BY INCORRECT MATH; IT IS NOT CAUSED BY SR.

If you shine laser light of the right wavelength on an atom, it will absorb that light. If the atom starts moving, that absorption slows and stops as the light moves out of resonance - the color has changed. How is the atom "ignoring" the amount that it has moved? It isn't doing any math, AFAIK.
 
  • #72
swansont said:
No. Tell me how this doesn't imply that I am measuring the light to be moving at 190,000 miles/s

That is exactly what I am saying.


swansont said:
If you shine laser light of the right wavelength on an atom, it will absorb that light. If the atom starts moving, that absorption slows and stops as the light moves out of resonance - the color has changed. How is the atom "ignoring" the amount that it has moved? It isn't doing any math, AFAIK.

I don't think the atom cares about the length of the wave, it only cares about the amount of time it takes to complete one wave.
 
  • #73
grounded said:
EXACTLY

But nobody is making this mistake, only you imagine so!

By MEASURING the relative speed of light wrt ourself, we already account for the traveled distance.

Clasically, when approaching a light source with v, the value we measure should have been c+v. But experiments reveal it is really c.

You want to make it c+v again by adding v to the MEASURED RELATIVE speed c. Therefore you want to account for the traveled distance TWICE.
 
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  • #74
grounded said:
The distance light travels away from the source in one second = 186,000 miles
The distance the observer travels towards the source in one second = 4,000 miles
The wavelength of the light while at rest relative to the source = 1 mile
The above are known because we set up the experiment.

OK

The relative frequency of the light measured by the observer while in motion = 190,000 cycle per second

It is if you use the pre-SR Doppler formula.

The relative distance traveled in one second, divided by the relative frequency, equals the relative wavelength, right?

So (186,000 + 4,000) divided by 190,000 equals the wavelength (1 mile) Agree?

Right here is where you are directly contradicting both the experimental evidence, and SR. Please try to understand why.

According to pre SR theory, the wavelength will be 1 mile. That is because the speed that the light approaches the observer is 186,000 mps+4000 mps=190,000 mps. So, according to the observer, the wavelength is:

λ=(relative speed of light)/(relative frequency)=(190,000 mps)/(190,000 Hz)=1mile

But we now know that that is false[/color]. The Galilean velocity addition formula simply does not hold! Yet you keep happily applying it as though it does, and that’s why you go wrong.

Also, You don’t have to use the “relative distance traveled”. It’s the relative speed that counts. Your numbers for the relative distance and the relative speed happen to have the same magnitude because you are considering the motion over a time of 1 second. But the observer could have moved twice that distance in twice the time, and the above analysis would still give the same result.

What you should take away from this part:

1.Forget about relative distance traveled, and start thinking about relative speed.
2. You can’t simply add velocities like you have been doing.

The part of the formula that you throw out is “the distance the observer has traveled relative to the source”.
You throw it out by not including it into the scale of the equipment used to measure the speed or wavelength, which is why you will always measure the total relative distance traveled by the light and the observer to be 186,000 miles.
I agree that you are not consciously throwing this out; you just never realized it was missing.

I’m not throwing it out at all, because I don’t even work in terms of relative distances. As I keep telling you, relative distance is irrelevant to this analysis. What I do throw out is the increase in relative velocity between the detector and the light.

If you do not include the 4,000 miles the observer has traveled you will measure the following:
THIS NUMBER IS CAUSED BY INCORRECT MATH; IT IS NOT CAUSED BY SR.

No, you are mistaken. The discrepancy is due to the feature of SR that says that the relative speed between light and an observer is always the same.

(186,000 + 0) divided by 190,000 = .9789 miles

Is not that the wavelength you predict the observer will measure due to SR?

No, it isn’t. You are using the classical Doppler formula. When SR came along, the Doppler formula had to be rederived, and it is :

f=f0((1+β)/(1-β))1/2

when the source and detector are approaching.

If you tell me that you are dividing the frequency into 186,000 miles because that is what you measured, then I’m telling you that you are measuring it wrong.

I know what you are telling me. You are mistaken.

Since we set up the experiment, we know the observer is traveling towards the source at 4,000 miles per second. We also know that light will travel away from the source at 186,000 miles per second. We do not really even have to measure these values. We know the total relative distance traveled is 190,000 miles per second.[/color]

You have to be careful here, especially about the part in blue[/color]. First, relative distance is not measured in miles per second, it is measured in miles. What you mean is that the relative speed is 190,000 miles per second. And second, you are wrong about that: it is 186,000 miles per second. You will only get your result if you assume that SR is wrong, and that the Galilean velocity addition holds. It doesn’t.

The observer knows he is traveling towards the light source at 4,000 miles per second.
The observer knows the light will travel 186,000 miles away from the source in one second.

OK so far.

The observer knows the relative distance traveled is 190,000 miles per second, this is a fact.

No, it is a falsehood.

The rest of your post just seems to be more of the same, so I’m not going to continue. Grounded, please open your mind to the possibility that you are wrong. You say that you want us to listen to you , and I am. But you aren’t returning the favor.

edit: fixed quote bracket
 
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  • #75
wespe said:
By MEASURING the relative speed of light wrt ourself, we already account for the traveled distance.

Where? Can you tell me where the oscilloscope, or the interferometer, or what ever you used to measure the speed accounted for the distance traveled relative to the source?
 
  • #76
grounded said:
Where? Can you tell me where the oscilloscope, or the interferometer, or what ever you used to measure the speed accounted for the distance traveled relative to the source?

The distance traveled relative to the source is irrelevant. What you are talking about is the relative speed (edit: between the source and the observer), but that is also irrelevant. When measuring the speed of light, all you need to do is measure the spacetime coordinates of absorption and emission.
 
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  • #77
geistkiesel said:
Some observations on the corfrectness of information exchange re om_Mattson v Grounded.

It must be awfully hard to make any observations at all, with your head shoved so far up your hind end.

This post of yours contains such asinine misrepresentations of both SR and myself, that I find them unworthy of any detailed response.

You said:

You can use your theory all day long, but when you get to the "we can look from the train frame of the stationary frame equivalently, that I drop out of the conversation

I wish you would. Either that, or get your brain in gear, because you aren't helping, and you certainly aren't here to learn anything.
 
  • #78
Hum...

I'm anxious to see what could replace SR, but you known that all the dependent theories of it like QED, QCD, Eletroweak, GR, would fall, but remember that these theories give good results, and like i said one replacement to SR has to give THE SAME results to the energy used today.
 
  • #79
grounded said:
Where? Can you tell me where the oscilloscope, or the interferometer, or what ever you used to measure the speed accounted for the distance traveled relative to the source?

What do you think relative speed is?

Consider please:

You are in a spaceship x meters long. There are windows on the front and back. Someone far away sends a light signal. You let the signal pass through your windows. You take note of the times when light enters the front window and exits from the back window. So you can calculate deltaTime. Now you can calculate speed of light as x/deltaTime. You find it to be 300.000 km/sec. That is the relative speed of light wrt you. Because all of them were your measurements. You don't care about the distances anyone traveled wrt something else, you just measure how long it took for light to pass the distance on your ship. So you measured the relative speed of light wrt you.

Now, you fire your thrusters, and start approaching the light source. You repeat the experiment. Oddly, you find the same relative speed of 300.000 km/sec! Light doesn't seem to care how fast you are approaching it!

Suppose, you wanted to measure the relative speed of a rock, instead of light. Same procedure. But, after you fire the thrusters, you find the relative speed of rock increased. For light, it does not increase, experimentally shown. Please do a google search how light speed was measured.
 
  • #80
grounded said:
Where? Can you tell me where the oscilloscope, or the interferometer, or what ever you used to measure the speed accounted for the distance traveled relative to the source?

I guess you didn't like my answer above.

OK I try again: the distances traveled are accounted by the moving objects themselves, when relative speed is measured. Because, relative speed is the approach speed, if you will understand that term better. Approach speed is directly measured by the observer. If you try to calculate it by adding or subtracting speeds of the objects wrt something else, then the answer you get will not match the directly measured speed. This mismatch becomes more and more as the speeds approach c. And relativity describes why this mismatch occurs, and how to do it correctly. Is there anything not clear?
 
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  • #81
wespe said:
What do you think relative speed is?

Consider please:
You are in a spaceship x meters long. There are windows on the front and back. Someone far away sends a light signal. You let the signal pass through your windows. You take note of the times when light enters the front window and exits from the back window. So you can calculate deltaTime. Now you can calculate speed of light as x/deltaTime. You find it to be 300.000 km/sec. That is the relative speed of light wrt you. Because all of them were your measurements. You don't care about the distances anyone traveled wrt something else, you just measure how long it took for light to pass the distance on your ship. So you measured the relative speed of light wrt you.

This is a theoretical experiments created off SR, but if it was done it would agree with what I am saying. Currently we calculate the relative speed of light from measurements of the frequency or the wavelength, but we always divide them into 186,000 miles.

Relative speed is the sum of the distance traveled by both objects in one second.

The relative speed between car “A” and car “B” is equal to the sum of the distance car “A” has traveled in one second, added to the distance car “B” has traveled in one second.

60 miles in one second, added to 40 miles in one second, equals a relative speed of 100 miles per second.

How do you define relative speed?

People say we can’t measure the speed of light like this because of SR. Fine.

If that is so, we should be able to measure the speed of light, as done above, and clearly see the effect of SR. But we won’t.

We currently do not include the distance traveled by the observer (speed) when we calculate the relative speed (total relative distance traveled per second), which guarantees a constant speed of light, no matter what.

Don’t you think it’s odd that we have to change the formula in order to measure SR effect?
By change I mean, replace “relative speed” with “speed of light” as shown below.

SPEED OF LIGHT divided by RELATIVE FREQUENCY equals RELATIVE WAVELENGTH

Instead of:

RELATIVE SPEED OF LIGHT divided by RELATIVE FREQUENCY equals RELATIVE WAVELENGTH

If SR is valid, why can't we measure its effect using normal means.
 
  • #82
wespe said:
the distances traveled are accounted by the moving objects themselves, when relative speed is measured. Because, relative speed is the approach speed, if you will understand that term better. Approach speed is directly measured by the observer. If you try to calculate it by adding or subtracting speeds of the objects wrt something else, then the answer you get will not match the directly measured speed.

Can you put this in a car "A" and car "B" perspective with math and show how the distance car "B" travels is accounted for?
 
  • #83
grounded said:
Currently we calculate the relative speed of light from measurements of the frequency or the wavelength, but we always divide them into 186,000 miles.

Where did you get that idea? Relative speed is measured directly, similar to what I described. By letting light pass a known distance, and dividing the distance by the time it took light to pass it (of course, assuming speed of light does not vary while it passes the distance). There is an issue with one-way / two-way measurements, but you first have to understand these before you get to that point.

Google search "how is the speed of light measured"
http://216.239.41.104/search?q="how+is+the+speed+of+light+measured"&ie=UTF-8&hl=en
 
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  • #84
grounded said:
This is a theoretical experiments created off SR, but if it was done it would agree with what I am saying.

No, it wouldn't.

Currently we calculate the relative speed of light from measurements of the frequency or the wavelength, but we always divide them into 186,000 miles.

No, that is wrong. We can measure the speed of light just by knowing the times and places of emission and detection in our frame of reference. There is no need whatsoever to do speed of light measurements using either wavelength or frequency.

Relative speed is the sum of the distance traveled by both objects in one second.

The relative speed between car “A” and car “B” is equal to the sum of the distance car “A” has traveled in one second, added to the distance car “B” has traveled in one second.

"Distance traveled" according to whom? You keep ignoring the fact that I am not obliged to regard the observer as moving at all. I can consider him to be at rest if I want.

But in any case, the relative speed of a light pulse is simply its change in position divided by the time it took to cover the distance. It will come out the same no matter if I regard the observer as moving or stationary. This is true either in Galilean relativity, or in SR.

60 miles in one second, added to 40 miles in one second, equals a relative speed of 100 miles per second.

That is the Galilean velocity addition formula again. It doesn't apply in the real world.

How do you define relative speed?

I define it as the rate at which the distance between other objects and myself changes as a function of time.

People say we can’t measure the speed of light like this because of SR. Fine.

Nobody says that. We say that when we do measure it, it confirms SR and contradicts what you are saying.

If that is so, we should be able to measure the speed of light, as done above, and clearly see the effect of SR. But we won’t.

Of course we will. In fact, we have. The speed of light has been measured to be 'c', even from very fast moving sources.

We currently do not include the distance traveled by the observer (speed) when we calculate the relative speed (total relative distance traveled per second), which guarantees a constant speed of light, no matter what.

Right. We calculate it that way because it agrees with measurements.

Don’t you think it’s odd that we have to change the formula in order to measure SR effect?

Will you please try to open up and learn some actual physics? The whole point of my post on Maxwell's equations was to explain why it's not odd.

By change I mean, replace “relative speed” with “speed of light” as shown below.

SPEED OF LIGHT divided by RELATIVE FREQUENCY equals RELATIVE WAVELENGTH

Instead of:

RELATIVE SPEED OF LIGHT divided by RELATIVE FREQUENCY equals RELATIVE WAVELENGTH

We do that because the relative speed of light is the same for everyone.

If SR is valid, why can't we measure its effect using normal means.

This is a bogus question. SR is valid, we do make measurements with normal means, and the effect is observed.
 
  • #85
grounded said:
Can you put this in a car "A" and car "B" perspective with math and show how the distance car "B" travels is accounted for?

But the correct math will have to be SR math. If you do it as Galilean, the answers will be different, but wrong. Wrong because experiments don't agree with it. So, math doesn't prove anything, only experiments can decide. But if you are just asking to see the SR math, I guess I can do it (if you give me some time, I'm a bit slow, or there are people here who can show it quickly, I'd appreciate their help)

Edit: With Galilean math, the traveled distance is still accounted for. When working with slow speeds, the answers are approximately correct. So if you want that, I can show it quicker. Please let me know.
 
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  • #86
grounded said:
Can you put this in a car "A" and car "B" perspective with math and show how the distance car "B" travels is accounted for?

Whether you are using Galilean relativity or SR, the equation is the same.

I can calculate the relative velocity between and a light pulse and myself by measuring the following:

Event 1: Pulse Emitted
x1=Location of emitter on x-axis at time t1.
t1=Time of emission.

Event 2: Pulse Detected
x2=Location of detector on x-axis at time t2.
t2=Time of detection.

The speed of the pulse relative to me is then:

v=(x2-x1)/(t2-t1).

For light, this will always come out to be c. And as you can see, that result is not "built in" to the way we calculate relative speed. It is a simple, undeniable experimental fact.
 
  • #87
Tom Mattson said:
Whether you are using Galilean relativity or SR, the equation is the same.
Yes. I was thinking of first defining the scene from a third perspective, then transforming for A and B as Galilean. And show that the traveled distance is accounted for, despite approximately correctly for low speeds.
 
  • #88
We currently do not include the distance traveled by the observer (speed) when we calculate the relative speed (total relative distance traveled per second), which guarantees a constant speed of light, no matter what.

Tom Mattson said:
Right. We calculate it that way because it agrees with measurements.
That is my whole point...

Tom Mattson said:
Whether you are using Galilean relativity or SR, the equation is the same.

Tom Mattson said:
v=(x2-x1)/(t2-t1)

The above formula has nothing to do with calculating relative speed. Integrate the formula. All this formula does is calulate the amount of time it takes light to travel from the source to the point it was detected. Your speed has nothing to do with anything in this formula except that it will alter the distance light can travel before you detect it.
 
  • #89
grounded said:
That is my whole point...

What, that we construct our theories so that they agree with experiment? Guilty as charged!

Now the real question is, Why do you have a problem with that?

The above formula has nothing to do with calculating relative speed.

Wrong. That formula is the very definition of relative speed.

Integrate the formula.

What?

All this formula does is calulate the amount of time it takes light to travel from the source to the point it was detected.

Right. And the ratio of those two quantities is the speed of the light relative to me.

Your speed has nothing to do with anything in this formula except that it will alter the distance light can travel before you detect it.

That's because my speed is zero. I am always free to regard myself at rest if I am not accelerating.
 
  • #90
Tom Mattson said:
Right. And the ratio of those two quantities is the speed of the light relative to me.

That formula is the very definition of relative speed.

No it isn't, it is the speed of light relative to the source. Can't you see that? It simply measures the amount of time it takes light to travel a specific distance determined by the location you detect the light.

If you run into the light at a distance of 100,000 miles from the source, what does your speed have to do with anything as long as the experiment ended at 100,000 miles form the source. Think about it... It doesn't matter how fast you are traveling when you end the test, all you are doing is marking a specific distance from the source and measuring how long it took light to get to that spot. If you traveled for two seconds, then no matter what your speed is, you will be 372,000 miles from the source.

Does that make sense?
 
  • #91
Grounded -- Yes, I read #52. You will find your ideas expressed more clearly and succinctly in any freshman physics book -- or high school algebra book(Tom is going to Chicago at 90 mph. Phil is on the same road going the other direction at 59mph. At noon they are 247 miles apart. When do they meet? , going in the correct lanes. Feel free to incorporate the lengths of the cars if you wish. Why not check out the Doppler shifts for radio communication s between the two, and for sound communication -- this is in a world with frictionless planes. In other words, you are discussing Galillean transformations, well known to work in non-relativistic situations. You neglect the experimentally confirmed fact that the speed of light is the same in all inertial frames. given that Maxwell's eq's are invariant under Lorentz transforms(unknown to Maxwell) but not under Galilean transforms requires a very profound change in our notions of time and space and how they are measured. That is to say, your #52 is only true under limited circumstances -- again something known from countless experiments. Svitenti, above, points out that SR is more than messing around with frequencies and wavelengths, and has worked brilliantly for a century.

I ask you again to point out in my argument with a wave function, where i am wrong.
What about radiation theory, Cerenkov radiation, i.e. light going faster than the speed of light in matter, not vacuum, Larmour precession and the magnetic moment of the elctron, and on and on and on? These are all phenomena that require SR to be true (or, better, not false) I'll make you a deal. I taught SR quite a few times. If you can point out the flaws in my argument of a few posts ago, I'll send you my lecture notes so you can have a field day in pointing out my errors.

Just to give you a sense of how extraordinary Einstein's ideas were and are, refer to Bateman's Electrical and Optical Wave-Motion(Dover) written before Einstein's ideas were fully accepted. People did a lot of shucking and jiving over how best to deal with the electromagnetic fields of moving charges. Read some history, if only to see how widespread SR has become -- as I mentioned above, if you can come up with something better than SR, you will have your day in Stockholm.

Regards,
Reilly Atkinson
 
  • #92
Tom

If you divide the distance light has traveled by the amount of time you let it travel, why would you expect to get any answer other than the speed of light?
 
  • #93
grounded said:
No it isn't, it is the speed of light relative to the source.

Actually, it applies to both. If I use the values of x and t as measured by me in my frame, then it does in fact give me the speed of light relative to me, as I said. But if I use the values of x and t as measured in the frame of the source, then that will be the speed of the light relative to the source.

It simply measures the amount of time it takes light to travel a specific distance determined by the location you detect the light.

Slight correction: It simply measures the amount of time it takes light to travel the distance determined by the location of the detector and the location of the source at the time of emission[/color]. It takes two points to determine a distance.

But yes, the formula takes the ratio of that distance and the elapsed time between the two events.

And that ratio is the speed of the light relative to me.

If you run into the light at a distance of 100,000 miles from the source, what does your speed have to do with anything as long as the experiment ended at 100,000 miles form the source.

The distance to the source is irrelevant. Speed is not defined by a distance, it is defined by a change in distance divided by a change in time.

Think about it... It doesn't matter how fast you are traveling when you end the test, all you are doing is marking a specific distance from the source and measuring how long it took light to get to that spot. If you traveled for two seconds, then no matter what your speed is, you will be 372,000 miles from the source.

All I did was take the distance the light covered and divided by the elapsed time. That is the speed of the light in my frame.

Why is that so hard to understand?

Does that make sense?

Not one bit.

edit to add:

I don't want to leave you with the wrong impression. I don't say that your statements make no sense because they are unintelligible, or because I don't understand you. I say it because they make no sense in the framework of what we know to be true about the world.

Your posts are perfectly understandable. They just don't describe the real universe.
 
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  • #94
grounded said:
Tom

If you divide the distance light has traveled by the amount of time you let it travel, why would you expect to get any answer other than the speed of light?

For Pete's sake, just look at the formula. It is not devised to always return "c", regardless of the values of the distances and times. Indeed, those distances and times are determined by experiment. If the Galilean velocity addition formula is true, then the relative speed will be calculated (by that very same formula) to be something other than 'c'. But we don't observe that. We observe what SR predicts, as I'm sure you must be aware by now.
 
  • #95
Tom Mattson said:
For Pete's sake, just look at the formula. It is not devised to always return "c", regardless of the values of the distances and times. Indeed, those distances and times are determined by experiment. If the Galilean velocity addition formula is true, then the relative speed will be calculated (by that very same formula) to be something other than 'c'. But we don't observe that. We observe what SR predicts, as I'm sure you must be aware by now.

I don't understand how we can get anything but 'c' if all we are doing is measuring the distance between us and the source, and dividing it by the amount of time it took the light to get there.

Being serious, are you saying that because of SR we have to change the times and distances?

Can't we use that formula from a third perspective with no reletivistic effects since the location of the source, the locations of the spot the test ended, and the time it took the light to get there the same for the observer or someone on the source?
 
  • #96
Tom Mattson said:
All I did was take the distance the light covered and divided by the elapsed time. That is the speed of the light in my frame. Why is that so hard to understand?

All the formula says is that light travels from the source at the speed of light. So in one second the ray of light will be 186,000 miles from the source and the observers speed cannot change this.
 
  • #97
If you run into the light at a distance of 100,000 miles from the source, what does your speed have to do with anything as long as the experiment ended at 100,000 miles form the source.

Tom Mattson said:
The distance to the source is irrelevant.

How can you say that since the only distance we are measuring is the distance to the source? In fact the only thing we are measuring is the distance from the front of your spaceship to the source, and dividing it by the time it took to get there.
 
  • #98
grounded said:
I don't understand how we can get anything but 'c' if all we are doing is measuring the distance between us and the source, and dividing it by the amount of time it took the light to get there.

What's not to understand? The formula contains independent variables. It's not as though they cooperate to trick us by always working out to be 'c'.

Being serious, are you saying that because of SR we have to change the times and distances?

Yes, the times and distances do change, but it is not "because of SR", it is "because that's the way the universe works". The absoluteness of the speed of light gives rise to the phenomena of time dliation and length contraction. Moving clocks tick slower relative to your frame, and moving yardsticks are shorter in your frame.

Can't we use that formula from a third perspective with no reletivistic effects since the location of the source, the locations of the spot the test ended, and the time it took the light to get there the same for the observer or someone on the source?

There are no relativistic effects in the formula for relative speed. The relativistic effects don't show up until you do precisely what you hint at here: Consider a third point of view. But we can't add that third perspective without way to transform coordinates between frames. So let's do that, using both Galilean relativity and Special Relativity.

Let a light source S be moving towards observer O at v=0.5c. Let S emit a pulse. Furthermore, let observer O' be at rest with respect to the source. This implies that the speed of light u' relative to him is c.

Again, let Event 1 be the emission of the pulse, and let Event 2 be the detection.

Question: What is the speed of light u as measured by O?[/color]

Here are two different answers, one from Galileo and one from Einstein.

1. In Galilean relativity, the transformation between spacetime coordinates (x,t) that O assigns to events, and those coordinates that (x',t') that O' assigns to events, are related by the following transformation:

x'=x-vt
t'=t

If we take the difference in distance Δx and Δ'x;', as measured by each observer, and similarly take the differences in time Δt and Δt', then each can compute the velocity of light relative to himself:

Δx'/Δt'=Δx/Δt-v.

Since Δx'/Δt'=u' and Δx/Δt=u, we have

u'=u-v

This is the Galilean velocity addition formula, which you are so fond of. Recall that u'=c and v=0.5c. Inserting them into the formula, we come up with a prediction of u=1.5c.

That is, Galilean relativity predicts that x2, x1, t2, and t1 will all be measured in such a way that the ratio of (x2-x1) to (t2-t1) will be 1.5c.

2. In Special Relativity, the transformation between spacetime coordinates (x,t) that O assigns to events, and those coordinates that (x',t') that O' assigns to events, are related by the following transformation:

x'=γ(x-vt)
t'=γ(t-vx/c2)

where γ=(1-v2/c2)-1/2

If we take the difference in distance Δx and Δ'x;', as measured by each observer, and similarly take the differences in time Δt and Δt', then each can compute the velocity of light relative to himself:

Δx'/Δt'=(Δx-vΔt)/(Δt-vΔx/c2)

Dividing the top and bottom of the right side by Δt, we get:

Δx'/Δt'=(Δx/Δt-v)/(1-v(Δx/Δt)/c2)

Since Δx'/Δt'=u' and Δx/Δt=u, we have

u'=(u-v)/(1-uv/c2)

This is the velocity addition formula in SR. Recall that u'=c and v=0.5c. Inserting them into the formula, and solving for u, we get u=c.

That is, Special Relativity predicts that x2, x1, t2, and t1 will all be measured in such a way that the ratio of (x2-x1) to (t2-t1) will be c.

The only way to find out which is correct is to do the experiment, and collect the information on x1, x2, t2 and t1.

As it happens, SR is correct. The simple velocity addition formula of Galilean relativity does not work.
 
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  • #99
grounded said:
All the formula says is that light travels from the source at the speed of light. So in one second the ray of light will be 186,000 miles from the source and the observers speed cannot change this.

No, you are wrong. The formula doesn't say that at all. The formula contains quantities that are determined by experiment. Given (x2-x1), there is no way to know ahead of time what (t2-t1) is going to be.
 
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  • #100
grounded said:
How can you say that since the only distance we are measuring is the distance to the source? In fact the only thing we are measuring is the distance from the front of your spaceship to the source, and dividing it by the time it took to get there.

I already explained this to you. I say that the distances themselves are irrelevant, because it is only the change in distance that goes into computing the speed.

Look at the formula again:

v=(x2-x1)/(t2-t1)

The values of x2 and x1 (the distances) don't matter. What matters is their difference.
 
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