Pragmatic Failure of Special Relativity

I think what he is saying is that all the experiments fail to match the predictions. I claim no level of expertise beyond "knowing more than the average Joe on the street" so bear with me here if blow the terminology or explanation.

It was called the Twin Paradox for a reason. I'm guessing the reason is that both twins are predicted to see the other's clock as dilated, yet when the two clocks are brought back together, only one of them has been dilated.

I think MacM is arguing that if there really was reciprocity (hopefully the right term) that the two clocks should read the same.

Precisely. If reciprocity were a physical reality then you would never have measureable time dilation between the two frames. The only reason you do is mere relative velocity, which they both share, is NOT the cause of the time ddilation.

It seems like MacM has an issue with having two frames, though I could be mistaken. Hell, I could be mistaken in my explanation, which I am sure will be corrected if wrong, something I would certainly appreciate.

No MacM has no problems with two or more frames. The issue is not the acceleration but that to switch frames you must have accelerated.

That is acceleration causes a change in velocity - not merely relative to any number of other observer frames but ONLY in regard to your initial inertial rest frame from which you accelerated.

That is why in the triplet case the two equally accelerated clocks have relative velocity but are actually in the same frame and dilate equally such that in spite of having relative veloicty they have no time dilation between them. They are both equally time dilated to the third clock which remained at rest.

That makes it rather clear that claiming relative veloicty causes time dilation is a misnomer. ONLY relative veloicty to your original rest frame - not other clocks - causes time dilation.

Good job. Thanks.
 
Could you explain? I thought you had a cart with 8 pounds of force pushing it and that it ran on a track both ways so my question seems like a logical follow-up.

If the cart is put on a circular track will it keep going around and round indefinitely?


If you keep supply drive power. This is NOT your SciFi warp drive others have mentioned. Inertial Drive in this case is a physical description not some comic book lable.
 
MacM's "logic" seems to be something like:
The Twin Paradox has resolved in SR for almost a 100 years by realizing that the reciprocity between the reference frames of the twins is broken by the asymmetry between their movements (the traveling twin has 2 different frames).
But I do not understand the resolution.

You blew it. I do understand. That is why I say without hesitation that it is the elevated veloicty due to having accelerated that causes the dilation not mere relative velocity.

Thus I will introduce a "common absolute rest frame" whose sole definition is that it resolves the paradox. It is neither "common" (the twins are free to use different coordinate systems) nor "at rest" (the paradox can be arranged so that the twins are not at rest w.r.t each other) nor "absolute". But I will hide this by never actually defining what a "common absolute rest frame" is or just repeating ad nauseam that it is needed.

The rest is BS,
 
I'm not sure what MacM thinks because he's so all over the place, but I get the impression he's arguing they are symmetrical. My grasp on this subject is tenuous at best - I've never even read a book on physics much less taken a class in it. So be gentle if I blow this.

When I think of an inertial reference frame, I think of the observer (me) and something else having a uniform motion. If the rocket speeds away from me, I sort of imagine a "box" with myself and the rocket at either end. Am I moving away from the rocket, is the rocket moving away from me, or are we both moving? It's my understanding that relativity says it doesn't matter.

You WERE correct. It is that reciprocity created by the claim that relative velocity causes the time dilation that is the error. They no longer say that. They correctly take into consideration who accelerated (has actual velocity not merely relative velocity). But the issue is they refuse to acknowledge that they are no longer saying relative velocity between clocks causes time dilation.

They squirm and two step and attempt to hide the fact that they have switched to a form of absolute motion. You don't know the absolute velocity universally but you know you have gone from "0" Mph to "60 Mph" and that is an absolute change. That change has an affect on your clock.

What that change does not do is affect anyother clock in the universe. Again they refuse to opnely make that distinction. They prefer to talk about the "Counter Intuitive" nature of relativity and that both clocks view, appear or percieve the other as dilated but will not admit that is not a real physical change.
 
I'm not following you. When does the force diminish. When it has a greater force of friction to overcome? In that case, its not the force that diminishes, its the net force.

Forget friction. It is present but for general discussion that is not at issue. I did see one point of confusion in this group in another post.

FRAME as in CHASSI not inertial frame - Shssh. When you have a limited source of power creating a force on the CHASSI and the chassi moves the net force dimensihes.

Imagine you are pushing one car with another and the pusher has an Rpm (Mph) limit. Initially there is a considerable force to get the inertia of the stalled vehicle moving but as it starts to move the strain on the pusher vehcile decreases and the pushed car stops accelerating and just rides along with the force required to equal air drag and yes friction.

I once steered a VW bus with a fairly hefty guy between the rear bumper and the front bumper of an 18 wheeler. As we went up and down hills he both compressed and stretched.

PS: The damn truck driver pushed us over 60Mph. It was a riot. Other cars nearly wrecked swerving all over the rroad when they passed and turned around in amazement with what they were seeing.
 
You blew it. I do understand. That is why I say without hesitation that it is the elevated veloicty due to having accelerated that causes the dilation not mere relative velocity.

The rest is BS,
So you understand that there is no paradox in the Twin Paradox?

Then why do we need a mythical, undefined "common absolute rest frame"?
What is "elevated veloicty"?
 
Precisely. If reciprocity were a physical reality then you would never have measureable time dilation between the two frames. The only reason you do is mere relative velocity, which they both share, is NOT the cause of the time ddilation.
Reciprocity is a physical reality because we have to take it in account when thinge move a high relative velocity, e.g. particle in particle accelerators.

No MacM has no problems with two or more frames. The issue is not the acceleration but that to switch frames you must have accelerated.

That is acceleration causes a change in velocity - not merely relative to any number of other observer frames but ONLY in regard to your initial inertial rest frame from which you accelerated.

That is why in the triplet case the two equally accelerated clocks have relative velocity but are actually in the same frame and dilate equally such that in spite of having relative veloicty they have no time dilation between them. They are both equally time dilated to the third clock which remained at rest.

That makes it rather clear that claiming relative veloicty causes time dilation is a misnomer. ONLY relative veloicty to your original rest frame - not other clocks - causes time dilation.

Good job. Thanks.
Then once again you agree that there is no problem with the Twin Paradox in SR.

Then why do we need your mythical, undefined "common absolute rest frame"?
 
You WERE correct. It is that reciprocity created by the claim that relative velocity causes the time dilation that is the error. They no longer say that. They correctly take into consideration who accelerated (has actual velocity not merely relative velocity). But the issue is they refuse to acknowledge that they are no longer saying relative velocity between clocks causes time dilation.

They squirm and two step and attempt to hide the fact that they have switched to a form of absolute motion. You don't know the absolute velocity universally but you know you have gone from "0" Mph to "60 Mph" and that is an absolute change. That change has an affect on your clock.

What that change does not do is affect anyother clock in the universe. Again they refuse to opnely make that distinction. They prefer to talk about the "Counter Intuitive" nature of relativity and that both clocks view, appear or percieve the other as dilated but will not admit that is not a real physical change.
Define "absolute motion".
Define "absolute velocity".
What "form of absolute motion" does the resolution in SR use?

What do you mean by "real physical change"? Are you saying that the clocks actually physically change in composition or that the time dilation is permanent?
 
Forget friction. It is present but for general discussion that is not at issue. I did see one point of confusion in this group in another post.

FRAME as in CHASSI not inertial frame - Shssh. When you have a limited source of power creating a force on the CHASSI and the chassi moves the net force dimensihes.

You need to explain why. This does not occur for a rocket in space. As the engine burns it exerts a constant force and a constant acceleration. As the rocket moves, the force does not diminish.

Imagine you are pushing one car with another and the pusher has an Rpm (Mph) limit.

I assume by an RPM limiter, you mean an artificial limit on the maximum speed of the vehicle. If the RPM limiter was removed, the vehicle could accelerate further.

Initially there is a considerable force to get the inertia of the stalled vehicle moving

Lets look at the forces involved in pushing a car. When the car is still, we must first overcome the force of static friction. It all involves vectors to be done properly, we'll ignore that for now just to get a general idea. Ok, so we first push it hard enough to overcome the static friction. Now the car is rolling and it is slightly easier to push as we are into the realm of dynamic friction (Fdynamic). As we push the car, another force will come into play, the aerodynamic friction (Faero). This will be a function of velocity relative to the air. And we push the car with Fpush.

So, if we want the car to travel at a constant velocity, Fdynamic + Faero = Fpush must balance out. If they do not balance out, then we have a net force on the vehicle and we get a F=ma. Where the acceleration is equal to F/m.

but as it starts to move the strain on the pusher vehcile decreases and the pushed car stops accelerating and just rides along with the force required to equal air drag and yes friction.

Right, we aren't accelerating it anymore, there is no longer a net force. So you are saying that the reason the force diminishes is that you have stepped off the accelerator and are no longer overcoming forces of friction and drag. That would be a choice, not a function of the engine.

While cars have an RPM that is related to the velocity of the vehicle relative to the ground, space vehicles have no such relation. Inertial drives because they should be capable of traveling in empty space should also have no such relation. They should be capable of accelerating until they run out of an energy source.

So the force diminishing in your inertial drive either means that your inertial drive is somehow connected to the driveshaft, or you are letting off the throttle. Which is it? Or maybe its force of acceleration is somehow limited by the body it is making contact with?
 
Precisely. If reciprocity were a physical reality then you would never have measureable time dilation between the two frames. The only reason you do is mere relative velocity, which they both share, is NOT the cause of the time ddilation.

Reciprocity of inertial reference frames is what is predicted by SR. But inertial reference frames cannot "meet" or "come together". They describe relative velocities. But for the sake of argument, lets put a point in each inertial reference frame. Since inertial reference frames cannot change direction, the points can only ever cross paths once, it at all.

That is acceleration causes a change in velocity - not merely relative to any number of other observer frames but ONLY in regard to your initial inertial rest frame from which you accelerated.

I was born on earth (ECEF), but sometime in the future, I move my wife and kids to the mars colony. Should I still use an earth centered reference frame or a mars one? Define "initial inertial rest frame". What events occur that mark the current frame as the initial one for a particle or group of particles.
 
You WERE correct. It is that reciprocity created by the claim that relative velocity causes the time dilation that is the error. They no longer say that. They correctly take into consideration who accelerated (has actual velocity not merely relative velocity). But the issue is they refuse to acknowledge that they are no longer saying relative velocity between clocks causes time dilation.

Who are "they"? Do they have meetings and a secret handshake? Why haven't I gotten my invitation yet? I thought we were discussing a theory, not attempting to show "them".

ETA: BTW, you seem to suggest that people using SR to perform calculations were at first doing the calculations exactly as SR laid out. But then, at some point, realized their error and now perform their calculations differently. Can you explain this more clearly and point out how doing the math the old way will lead to predictions that have been invalidated by experimental data.
 
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Precisely. If reciprocity were a physical reality then you would never have measureable time dilation between the two frames. The only reason you do is mere relative velocity, which they both share, is NOT the cause of the time ddilation.
So, are you saying the following?

A stays on Earth.
B goes some distance away from Earth, then returns.
B travels at some high percentage of c as measured by A.
B sees A moving at this same high percentage of c.
SR says it is equally valid to say that A (and effectively the rest of the universe) actually traveled some distance and back (reciprocity).
Therefore, there should be no time dilation.

But since there *is* time dilation, this means that what is really going on is that B accelerated at some point in time (either launching from Earth or launching from outside the solar system and whizzing past the Earth where we synchronize our clocks).

Thus it was the acceleration that caused the time dilation, not their relative velocities. Because if it was relative velocity, the clocks would remain the same (according to SR) because A and B both have the same velocities relative to each other.

Furthermore, because it is acceleration that causes time dilation, then we must have some reference point from which we can measure 0 to c. This is essentially an absolute reference frame. If we knew where that point was we could say that A is moving at some speed and B is moving at a faster speed. Because B is moving faster, time goes slower.

Is this what you're driving at?

ETA: I am not saying I agree with MacM. I'm only trying to figure out what he's trying to say. If my lack of expertise is making this discussion more confusing, please let me know.
 
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If you keep supply drive power. This is NOT your SciFi warp drive others have mentioned. Inertial Drive in this case is a physical description not some comic book lable.


What kind of power does it need and how much?
 
Hi MacM - you seem to have missed my post again so here is an expanded version of it.

Lets explore MacM's "common absolute rest frame" (CARF) a bit more for laughs.
Maybe MacM can answer the question of how a normal inertial frame of reference becomes a CARF?

For example:
  1. Twins are in 2 spaceships floating in space. They have agreed to use a specific coordinate system for measurements and are moving at the same velocity. They have identical clocks.
    At this point they are using the same inertial frame of reference.
    Is this frame a CARF?
  2. One of the twins instantly accelerates to have a different velocity. They thus have different inertial frames of reference that differ only in their velocity.
    Are either of these frames a CARF?
  3. The traveling twin goes a certain distance from the other twin and then heads back which requires acceleration to reverse their velocity. This puts them into a different inertial frame of reference. The other twin has not changed their inertial frame of reference.
    Are either of these frames a CARF?
  4. The traveling twin decelerates to match the velocity of the other twin. Conventionally the twins are now back in the same inertial frame of reference.
    Is this frame a CARF?
  5. The twins compare clocks and see that they have different readings as predicted by SR. Now they want to synchronize ages so the other twin repeats the journey of the twin who traveled.
    Repeat the analysis for steps 1-4 above.
    At what point does the twin who is now traveling not be in a CARF (if any) and what kind of frame do they have?
I suspect that according to MacM, both twins are in a CARF by step 4. It will be interesting how he explains the conversion of the CARF to an ordinary inertial frame of reference for the traveling twin in step 5

In addition:

If step 4 was:
  • The traveling twin passes the other twin and tells the twin his clock time by radio. Neither twin's frame of reference changes.
    Is either frame a CARF?
If step 3 was:
  • The traveling twin gets to a prearranged distance and tells the twin his clock time by radio. Neither twin's frame of reference changes. The traveling twin never returns to the other twin.
    Is either frame a CARF?
If step 1 was:
  • Twins are in 2 spaceships passing each other. They have agreed to use a specific coordinate system for measurements and are moving at the same velocity. They have identical clocks.
    At this point they are using different inertial frame of references.
    Is either frame a CARF?
And:
The non-traveling twin can measure that they are in an inertial frame of reference by testing for acceleration.
Is there any experiment that the non-traveling twin can do to determine when their frame magically changes to a CARF?
In other words what is the empirical difference between a inertial frame of reference and a CARF?
 
Maybe MacM thinks of himself as the reference frame. Thus if he has 10 rockets going off in different directions, there's just one reference frame: him. I would think of it has having 10 reference frames - one for each rocket and myself. Is that correct?

Well, aside from 10 rockets plus you being 11, that's still not quite correct. There are an infinite number of reference frames. There always are. We usually choose reference frames that make calculations easier, but it's possible to make up pretty much any frame you like. Importantly, a useful reference frame does not necessarily mean one in which a particular object is stationary. For instance, in your example it may make more sense for a particular calculation to choose a frame in which you and one of the rockets are moving away from each other at equal speeds, rather than one in which one of you is stationary. That would add another 10 potentially useful frames.

As for where MacM is going wrong, I think it's actually quite simple. If you have one object that you consider stationary and another that is moving relative to it, he says that one of those objects must have accelerated in the past, and therefore it is that acceleration that causes any relativistic effects. If you construct a problem in which the two objects already have a relative velocity, he simply says the problem is invalid because you have to consider the acceleration which is not included in the problem.

In a sense, it's not such a stupid thought. Of course the only way of changing velocities is to have an acceleration. The mistake is in thinking that because acceleration is necessary at some point, that must be the only thing that matters, when in reality acceleration is important for breaking the symmetry of relativistic effects, nor creating them in the first place (in special relativity at least). The reason he can't show any maths to support his claims is because the maths is actually quite simple and proves him wrong.

However, while this appears to be his main problem in understanding relativity, I'm not at all sure that that's his only problem. Based on the fact that he appears to have been a physics crank for over 40 years and also believes he's invented things that can violate momentum and energy conservation, I suspect he is simply unable to understand an awful lot of basic physics, and is therefore never going to be able to grasp the more complex things. Whether this is simply due to a lack of education followed by decades of support from other cranks and an unwillingness to ever admit to being wrong, or due to something more than that, I have no idea.
 
I'm not sure what MacM thinks because he's so all over the place, but I get the impression he's arguing they are symmetrical.

I have no idea what he's arguing. But to be clear, they're not symmetrical in the standard twin scenario, because one accelerates and experiences a force while the other doesn't - or if yuo do it a different way one clock is handed off from an outgoing ship to an ingoing one, while the other isn't.

When I think of an inertial reference frame, I think of the observer (me) and something else having a uniform motion. If the rocket speeds away from me, I sort of imagine a "box" with myself and the rocket at either end. Am I moving away from the rocket, is the rocket moving away from me, or are we both moving? It's my understanding that relativity says it doesn't matter.

Maybe MacM thinks of himself as the reference frame. Thus if he has 10 rockets going off in different directions, there's just one reference frame: him. I would think of it has having 10 reference frames - one for each rocket and myself. Is that correct?

An "inertial reference frame" is nothing more or less than a choice of coordinates which have the property that something at fixed coordinate position is moving with constant velocity with respect to anything at fixed coordinte position in any other inertial frame. Picture a 3D grid filling all space, at rest. Now picture another 3D grid moving with respect to the first. Those are inertial frames.

So objects cannot BE frames. They also cannot be in one frame but not another - every object is somewhere in every frame. When people say "A's frame", they mean the frame in which A is at rest. But B is in A's frame too - just not at rest. And yes, you're right - relativity tells us we can use any frame (that part's obvious, of course we can use whatever coordinates we want, why not?) - and that we can use exactly the same laws of physics in every one, with no modification (that part wasn't at all obvious in 1905).

Just for my understanding, if the Prodigal Son simply stopped rather than turning around, the twin on Earth could later make the same trip at the same speed. When he arrived, they would be the same age. Is that correct?

Yes.
 
They squirm and two step and attempt to hide the fact that they have switched to a form of absolute motion.

MacM, I hope you realize that in relativity there is an absolute rest frame for acceleration? Everyone knows that, everyone learns that when they study relativity - it's completely standard. Is that your great discovery?

How are those calculations coming along, by the way?
 
Einstein says ...

That is why I say without hesitation that it is the elevated veloicty due to having accelerated that causes the dilation not mere relative velocity.
But that is exactly what Einstein special relativity says, in the context of the "Twin Paradox". However, you said that Einstein special relativity is wrong. So I think you are the one who is confused around here.
 
Ridiculus. Friction is always present but is not the issue. Just as you lose weight (Force downward) in free-fall of gravity any frame force generated dimenishes as you accelerate.

OMF-FSM... MacM, this is very basic high school physics that you're screwing up here. And it all goes back to your misunderstanding of frames of reference.

As Sol pointed out, when something is in free-fall, it doesn't lose weight. For example, as the ISS orbits the Earth the astronauts inside may have the perception that they are "weightless" because they see themselves as floating relative to their immediate surroundings. They perceive this because they are falling with the ISS at exactly the same rate, so there is no relative motion between the two.

However, they haven't really lost weight, because their weight (i.e. the force of gravity) is the only thing keeping them in orbit around the Earth in the first place. Without that weight, their momentum would carry them off into interplanetary space along a line tangent to their previous orbit.

As for your comments regarding "frame force", I think you have it completely backwards. If by "frame force" you mean a fictitious force generated by the acceleration of a non-inertial frame of reference, then you're backwards because as the frame accelerates more it increases the strength of fictitious forces observed within that frame.

Please note that I'm no longer posting these comments for your benefit, as it is obvious to me that you are not interested in presenting physics accurately. You seem to be hung up on some kind of pet theory that you will promote at the expense of known physics, for no other reason than to promote it. I keep responding to your posts for the benefit of the lurkers who are actually willing to learn some physics.
 
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However, they haven't really lost weight, because their weight (i.e. the force of gravity) is the only thing keeping them in orbit around the Earth in the first place. Without that weight, their momentum would carry them off into interplanetary space along a line tangent to their previous orbit.

Hi MattusMaximus,
Wouldn't it be more accurate to refer to mass in the scenarion rather than weight. The velocity of the ISS surely plays a critical role in maintaining orbit.
 
OMF-FSM... MacM, this is very basic high school physics that you're screwing up here. And it all goes back to your misunderstanding of frames of reference.

As Sol pointed out, when something is in free-fall, it doesn't lose weight. For example, as the ISS orbits the Earth the astronauts inside may have the perception that they are "weightless" because they see themselves as floating relative to their immediate surroundings. They perceive this because they are falling with the ISS at exactly the same rate, so there is no relative motion between the two.

However, they haven't really lost weight, because their weight (i.e. the force of gravity) is the only thing keeping them in orbit around the Earth in the first place. Without that weight, their momentum would carry them off into interplanetary space along a line tangent to their previous orbit.

As for your comments regarding "frame force", I think you have it completely backwards. If by "frame force" you mean a fictitious force generated by the acceleration of a non-inertial frame of reference, then you're backwards because as the frame accelerates more it increases the strength of fictitious forces observed within that frame.

Please note that I'm no longer posting these comments for your benefit, as it is obvious to me that you are not interested in presenting physics accurately. You seem to be hung up on some kind of pet theory that you will promote at the expense of known physics, for no other reason than to promote it. I keep responding to your posts for the benefit of the lurkers who are actually willing to learn some physics.

Like me.With the aid of the internet and some physics textbooks I got from the library I am able to follow this.I can see where Mac is going wrong.I've given up talking to him,it's a waste of time.Thank you all for persevering.You are not wasting your time talking to the brick wall that is Mac.
 
Wouldn't it be more accurate to refer to mass in the scenarion rather than weight.
Why? The original disagreement was about weight. It's perfectly accurate to say that weight doesn't disappear and is responsible for the orbit in the first place. At ISS's orbit, gravity is about 8.8m/s², so one's weight is actually pretty close to the Earth-surface value.

The velocity of the ISS surely plays a critical role in maintaining orbit.
Sure. The velocity determines which orbit the ISS follows (including whether it is bound, crash, escape, etc.), but without weight, there wouldn't be an orbit, for the exact reason MM stated.
 
Why? The original disagreement was about weight. It's perfectly accurate to say that weight doesn't disappear and is responsible for the orbit in the first place. At ISS's orbit, gravity is about 8.8m/s², so one's weight is actually pretty close to the Earth-surface value.

The only reason I made the statement was that weight will change with gravitational change, whereas mass remains constant. Obviously, if the ISS had no mass, it would have no weight and would not exist.
 
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The only reason I made the statement was that weight will change with gravitational change, whereas mass remains constant. Obviously, if the ISS had no mass, it would have no weight and would not exist.

Photons have no mass, but they certainly exist. And they also have weight (a box full of light will press harder on a scale than a dark box).
 
I have been reading this thread from the beginning, and I have followed all the links, and have finally caught up to the present - I must be mad :boggled: and despite the acceleration necessary to get here in less than real-time, I actually feel a lot older rather than younger. SR doesn't apply to forum spacetime.

The journey has been aggravating, frustrating, amusing, surprising and very educational, so thanks to all involved - especially MacM, for starting it off and continually stirring it up with that spiky stick.

The one characteristic that sums it up so far for me is misunderstanding - apart from any misunderstanding of the actual physics, there seems to have been two other major problems of understanding that have dominated most of the thread, a metaphysical one, and a linguistic one. The linguistic one is that in terms of physics, MacM has been talking a different language from everyone else - using common words but with different sematics and idioms. In terms of the specialist usage and idioms of physics, they have been inconsistent, imprecise, inaccurate, and often plain incorrect, which has made it extremely difficult to follow his arguments. These difficulties have been compounded on both sides by the abuse of this semantic gap to make the other party appear in error. Accidental misunderstanding is damaging enough to the discussion, but when (for example) you know MacM doesn't mean 'absolute' in the commonly used physical sense, and seems determined not to change, it's pointless and unnecessary to continually pretend that he does and criticise his arguments for that. Equally, a clear definition of what he does mean by it would probably avoid a lot of faffing about in the first place.

The other metaphysical misunderstanding I noticed hasn't really been commented on, and I may have it wrong. I was taught that theories like SR and GR don't and cannot in themselves directly tell us anything about physical reality. They are just attempts to model our observations (measurements) of physical reality. Most theories are limited to a particular context, outside which they are known to be inapplicable, and in general their utility is in how well they model and can predict the observations we make. They are limited tools. As soon as our observations conflict with the theory we must either constrain the context or discard the theory. In that sense they are pragmatic.

Anyone can decide what they believe the model tells them about physical reality, and such speculation is fertile ground for new hypotheses, but the model is just a model. If SR predicts results that are confirmed by observation, and (within its context) is simpler to use and/or more accurate than other models, it will continue to be used. If not, it will become history.

Following on from that, it seems to me that when using these models in Gedanken Experiments, 'reality' for an observer is what that observer can observe (i.e. measure), and the essence of relativity is that this will vary according to the observer's frame of reference. When I hear the pitch of a passing police siren change, it's not an illusion in the sense that I misinterpret my perception - the sound waves reaching me really do measurably change wavelength, so for me the change in pitch is real, even though for the driver, the pitch is constant (for the sake of argument). What happens when we meet up and both hear a constant pitch is that my perception of reality now matches his. It may be comforting to suggest that because the siren makes the sound it's the siren's reference frame that counts as physical reality, but that's totally irrelevant to all those people who hear it higher or lower pitched or changing pitch and will never see the police car or join its frame. To them the pitch is really what they perceive it to be. And so it is, I feel, with SR and time dilation due to relative motion.
 
Accidental misunderstanding is damaging enough to the discussion, but when (for example) you know MacM doesn't mean 'absolute' in the commonly used physical sense, and seems determined not to change, it's pointless and unnecessary to continually pretend that he does and criticise his arguments for that.

But the thing is, people haven't just been blindly criticising him for his use of words, they've been trying to work out what he actually means, and trying to educate him what the correct words would be so that we can all understand each other. Unfortunately, there are two problems with that, both due to MacM himself. Firstly, he refuses to actually listen to any of the explanations or accept that his usage might be incorrect in the first place. Secondly, he does not appear to actually understand what he means in the first place, certainly he is incapable of actually communicating his understanding if he does posses it, which makes it a little tricky for us to understand it.

For example, his use of the word "absolute" that you mention. As you say, he clearly isn't using this in the normal sense. However, one of his main arguments is that there is an absolute frame of reference and that SR is wrong because it denies this. But if he's not using absolute to mean what it usually means, then there should be no problem, since SR only says there is no absolute frame for the normal meaning of absolute. If you use "absolute" to mean "relative", then there is no argument in the first place. And if you use it to mean "sausage" then the arguement isn't even an argument at all.

And the thing is, we can't just accept that MacM is going to ignore the rest of the scientific world and carry on using his own definitions. It would be awkward if we all had to use MacM's definitions in this thread just to suit him, but it would be possible. Except that we have no idea what his definitions actually are.

Equally, a clear definition of what he does mean by it would probably avoid a lot of faffing about in the first place.

Excatly. However, since MacM either refuses to give, or is simply incapable of giving, clear definitions of anything, all we are able to do is point that his definitions are non-standard, nonsensical and inconsistent.

If SR predicts results that are confirmed by observation, and (within its context) is simpler to use and/or more accurate than other models, it will continue to be used. If not, it will become history.

This is of course true for any theory. The problem we have here is that SR is confirmed by numerous observations. MacM simply denies this. He has been asked many times to give something, anything, that could disprove SR under any circumstance. He has failed to provide a single observation that does so, or to propose any experiment that would be capable of doing so.

And that is what we are left with. Theory and observations point one way, MacM points another, but gives directions in a different language so that although we all know he's pointing the wrong way, we're not sure exactly where he's pointing.
 
Hi MattusMaximus,
Wouldn't it be more accurate to refer to mass in the scenarion rather than weight. The velocity of the ISS surely plays a critical role in maintaining orbit.

No. Their mass is constant and doesn't change regardless of the weight. The weight (force of gravity) follows an inverse-square law and can vary - if the ISS is twice as far from the center of the Earth, it will weigh 1/4 as much, for example. But the mass of the ISS stays the same.

As for the velocity, you are correct that it plays a critical role - that is, the speed does. If the ISS is going too slow, it will eventually spiral into the Earth; if it's going too fast, it will loop out into an elliptical orbit rather than a circular one; if it's going way too fast, it'll hit escape speed and never return to Earth.

My point in the earlier post is that without weight (force of gravity) then any velocity would cause the ISS to go careening off into space.
 
The other metaphysical misunderstanding I noticed hasn't really been commented on, and I may have it wrong. I was taught that theories like SR and GR don't and cannot in themselves directly tell us anything about physical reality.

When a theory passes every experimental and theoretical test, and when a huge number of such tests have been performed, I think the best attitude is to provisionally accept that theory as physical real - until it is contradicted, of course (or a better theory comes along).

We have no other guide than that to what reality is: our perceptions are extremely limited and essentially useless for these questions, our intuition is based on our very limited perception and our evolutionary history. The whole point of science, and the reason for its tremendous success, is that one doesn't rely on unjustified preconceptions about what reality must be.
 
And that is what we are left with. Theory and observations point one way, MacM points another, but gives directions in a different language so that although we all know he's pointing the wrong way, we're not sure exactly where he's pointing.

I basically agree with everything you say, and so frustrating and opaque have MacM's posts been that I have eventually abandoned the list errors, inaccuracies, contradictions, etc., that I was making, because it was getting so long... But every time I saw a member of the forum responding in kind, or seeming to deliberately argue over a meaningless statement, my heart sank.

Having got used to MacM's crusty ways, at times I have sympathised with him - for example over his desire that physical reality be commonsense - though, of course, it's wishful thinking. Commonsense is notoriously fallible and what seems to be commonsense varies between individuals. It still feels counter-intuitive to me that tossing 10 heads in a row doesn't change the chances of a tail on the next throw - but I know that it doesn't, because the maths and the logic override my commonsense feeling. When you look at the various experiments in the quantum realm, they are so counter-intuitive and against commonsense that they make relativity seem quite cosy, and whatever you think about the physical reality of QM, there is no doubt that the experimental evidence is totally counter-intuitive, and yet pragmatic enough that much of modern electronics relies on those principles. Which all goes to show that we can't expect the results of our observations and measurements to be commonsense or intuitive - which is exactly why science proceeds by controlled, reproducible experiment and verified observation.

Incidentally, with regards to GPS, I discovered that Neil Ashby, who has been publishing on all things relativistic, positional, and GPS related in reputable journals since the mid-70's, and is consultant to NIST on relativistic effects on clocks, has been working on enhancements to high accuracy global navigation & timing with David W. Allan (http://www.allanstime.com/Bio/index.html), the doyen of time standards & atomic clocks at the University of Colorado (whose 1968 time scale algorithm is still the basis of time as generated at NIST: UTC(NIST)), and who was a consultant for the DoD for characterizing and using atomic clocks in space during the development of the GPS.

For me, this makes Mr. Ashby a convincing authority on GPS - it may still be an argument from authority, but when the associated authority is David Allan, it's pretty much a clincher. For example:

N. Ashby and D.W. Allan, Practical Implications of Relativity for a Global Coordinate Time Scale, Radio Science, 14, No. 4, 649-669, 1979. (BIN: 133)

D.W. Allan, C.O. Alley, N. Ashby, R. Decher, R.F.C. Vessot and G.M.R. Winkler, Ultra-Accurate International Time and Frequency Comparison Via an Orbiting Hydrogen-Maser Clock, Journal De Physique, Colloque C8, 395-413, 1981. (BIN: 589)

N. Ashby and D.W. Allan, Coordinate Time On and Near the Earth, Physical Review Letters, 53, No. 19, 1858, 1984. (BIN: 681)

D.W. Allan, D.D. Davis, M. Weiss, A. Clements, B. Guinot, M. Granveaud, K. Dorenwendt, B. Fischer, P. Hetzel, S. Aoki, M.-K. Fujimoto, L. Charron, and N. Ashby, Accuracy of International Time and Frequency Comparisons Via Global Positioning System Satellites in Common-View, IEEE Transactions on Instrumentation and Measurement, IM-34, No. 2, 118-125, 1985. (BIN: 689)

D.W. Allan, M.A. Weiss, and N. Ashby, Around-the-World Relativistic Sagnac Experiment, SCIENCE, 228, 69-70, 1985. (BIN: 711)

D.W. Allan and N. Ashby, Coordinate Time in the Vicinity of the Earth, International Astronomical Union Symposium No. 114, Relativity in Celestial Mechanics and Astrometry (D. Reidel Publ. Co, Holland), 299-313, 1986. (BIN: 548)

Neil Ashby, David W. Allan; Navigation and Timing Accuracy at the 30 Centimeter and Subnanosecond Level; Proceedings of 1996 IEEE International Frequency Control Symposium.

David W. Allan; Neil Ashby; Real-time GPS Orbital Elements at the 10 Centimeter Level With Only Two Monitor Stations; Proceedings of 1997 Institute of Navigation, ION GPS-97.

David W. Allan, Neil Ashby, Cliff Hodge; Science of Timekeeping; Hewlett-Packard Application Note 1289; 1997.


I'm inclined to believe him when he says in his paper on GPS (excerpts, my bolding):

This paper discusses the conceptual basis, founded on special and general relativity, for navigation using GPS. Relativistic principles and effects which must be considered include the constancy of the speed of light, the equivalence principle, the Sagnac effect, time dilation, gravitational frequency shifts, and relativity of synchronization

Almost all users of GPS are at fixed locations on the rotating earth, or else are moving very slowly over earth’s surface. This led to an early design decision to broadcast the satellite ephemerides in a model earth-centered, earth-fixed, reference frame (ECEF frame), in which the model earth rotates about a fixed axis with a defined rotation rate, . This reference frame is designated by the symbol WGS-84 (G873) [19, 3]. For discussions of relativity, the particular choice of ECEF frame is immaterial.

In an inertial frame a portable clock can be used to disseminate time. The clock must be moved so slowly that changes in the moving clock’s rate due to time dilation, relative to a reference clock at rest on earth’s surface, are extremely small. On the other hand, observers in a rotating frame who attempt this, find that the proper time elapsed on the portable clock is affected by earth’s rotation rate.

The Sagnac effect can be regarded as arising from the relativity of simultaneity in a Lorentz transformation to a sequence of local inertial frames co-moving with points on the rotating earth. It can also be regarded as the difference between proper times of a slowly moving portable clock and a Master reference clock fixed on earth’s surface. ... For the GPS it means that synchronization of the entire system of ground-based and orbiting atomic clocks is performed in the local inertial frame, or ECI coordinate system.

Clocks at rest on the rotating geoid run slow compared to clocks at rest at infinity by about seven parts in 10^10. Note that these effects sum to about 10,000 times larger than the fractional frequency stability of a high-performance Cesium clock.

Considering clocks at two different latitudes, the one further north will be closer to the earth’s center because of the flattening - it will therefore be more redshifted. However, it is also closer to the axis of rotation, and going more slowly, so it suffers less second-order Doppler shift. The earth’s oblateness gives rise to an important quadrupole correction. This combination of effects cancels exactly on the reference surface.

For atomic clocks in satellites, it is most convenient to consider the motions as they would be observed in the local ECI frame. Then the Sagnac effect becomes irrelevant. (The Sagnac effect on moving ground-based receivers must still be considered.)

Conclusions:
The GPS is a remarkable laboratory for applications of the concepts of special and general relativity. GPS is also valuable as an outstanding source of pedagogical examples. It is deserving of more scrutiny from relativity experts.

Alternative global navigation systems such as GLONASS, GALILEO, and BEIDOU are all based on concepts of clock synchronization based on a locally inertial reference system freely falling along with the earth. This concept, fundamentally dependent on a relativistic view of space and time, appears to have been amply confirmed by the success of GPS.
 
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No. Their mass is constant and doesn't change regardless of the weight. The weight (force of gravity) follows an inverse-square law and can vary - if the ISS is twice as far from the center of the Earth, it will weigh 1/4 as much, for example. But the mass of the ISS stays the same.


Isn't this exactly what I said here"
"The only reason I made the statement was that weight will change with gravitational change, whereas mass remains constant. Obviously, if the ISS had no mass, it would have no weight and would not exist. "

Sure, the photon has no mass and exists, but a photon is not the same as baryonic mass.
 
Back on topic please. The thread is about relativity, not sausages.
Replying to this modbox in thread will be off topic  Posted By: Gaspode
 
For example I give you the following:

1 - Given two clocks "A" & "B" that by whatever means have been synchronized while both are at relative rest.

2 - These two clocks now have an inertial relative velocity.

3 - Given the relative velocity value, when they are brought together, one hour later according to clock "A", at a common rest; which clock will have accumulated lesser time?

If you can answer that without first asking which clock(s) accelerated and for how long then Special Relativity as originally written without GR is valid.

I can answer the question without knowing anything about their acceleration, provided that you tell me their velocity relative to an inertial reference frame. That is, after all, the sense in which all velocity is relative.

And GR is never needed unless you want to include gravity. I've said this before, but you still don't seem to have figured it out.
 
MacM. Have you actually read and criticallly analyzed any of Einstein's three different derivations of his SR transformation equations?
 
Does anyone know where I can find an article by HA Lorentz in which he actually derived his transformation? No, it is not in his 1904 article "Electromagnetic Phenomena in a System Moving with any Velocity Less than that of Light", where he expounded his "contraction". I have conducted a search with the help of the US Library of Congressm and have yet to find said article.

By luck I did find what was purported to be Lorentz's own derivation in:

Whittaker, Sir Edmund: A HISTORY OF THE THEORIES OF AETHER AND ELECTRICITY, Vol.2, Chapter 11, pp 31-33, Harper & Brothers, New York.

Unfortunately, Sir Edmund did not cite his source.
 
Does anyone know where I can find an article by HA Lorentz in which he actually derived his transformation? No, it is not in his 1904 article "Electromagnetic Phenomena in a System Moving with any Velocity Less than that of Light", where he expounded his "contraction". I have conducted a search with the help of the US Library of Congressm and have yet to find said article.

By luck I did find what was purported to be Lorentz's own derivation in:

Whittaker, Sir Edmund: A HISTORY OF THE THEORIES OF AETHER AND ELECTRICITY, Vol.2, Chapter 11, pp 31-33, Harper & Brothers, New York.

Unfortunately, Sir Edmund did not cite his source.
The modern form (and name) of the Lorentz transformations was established by the 1905 paper of Poincaré ("Sur la dynamique de l'électron", Comptes Rendus 140: 1504–1508 Reprinted in Poincaré, Oeuvres, tome IX, S. 489-493.). I do not know if there is an English translation of this.
This was published on June 9, 1905. Einstein's much simpler derivation of the Lorentz transformations was then published about 3 weeks later!

Previous papers by Lorentz, Poincaré, Larmor, etc. worked on bits of what became the Lorentz transformations (as you have found).

I have not seen that HA Lorentz ever published a derivation of the complete Lorentz transformations.
 
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