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| Tags: dilation, math, time |
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#1
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I started a thread about the twin paradox and cross-posted it to three
newsgroups. I am grateful to those who discussed it, even though it got a tiny bit personal at times ![]() I was frustrated by the account of the twin paradox in the FAQ for sci.physics (http://www.faqs.org/faqs/physics-faq/part4/), because it resorts to saying that there is assymetry in the situation. One twin has undergone an acceleration and it is that one which is younger. That cannot be the case, because time dilation is supposed to explain why a light beam, travelling from floor to ceiling of a moving spaceship will not trace out its V-shaped path faster than c. Time must appear to be slowed down or else the observer, looking through the window will see the beam travel faster than c. But if two people pass eachother on skateboards, watching eachother's bouncing beams, they must both see time dilation in the other, or one of them will see the beam going faster than c. Claiming an assymetry based on the acceleration histories of the observer, overlooks the fact that the time dilation must be real and identical in both directions at all times or else someone will see the bouncing beam going faster than c. If only one skateboard rider is younger, what did this younger one see, the other getting older? The beam going even faster than expected, much more than c? It baffles me, that intelligent people, capable of algebra, cannot see that the assertion that time is slowed in a moving frame is a symmetrical assertion, because frames move relative to eachother, symmetrically. Besides which, the formula for time dilation is a function of the velocity of the observed frame and makes no mention whatsoever of the acceleration of either frame, before or while the calculation is made. I was told again and again by several posters, "Do the math. Just plug the numbers into the formulas and it all works out just fine." These were the same people who want me to factor in acceleration, which is not mentioned in the formula, because time dilation is purely a function of the relative velocity, which is the same in both directions. Plug the relative velocity of skateboarders A and B into the formula and find out how much slower B's clock is, than A's. And how much slower A's is, than B's. I don't need to "do the math" to see that this formula is telling me two things which cannot both be true. I suppose it depends on your definition of "working out fine". Because I constructed my example with two moving twins, to force them to face the symmetry, the defenders of relativity introduced a new twist: acceleration causes time to speed up, cancelling out the age difference, in both skateboarders. This is an new addition to relativity. Einstein never said anything of the sort. To say that acceleration makes time run faster, implies that if one of the skateboarders is accelerating, the time contraction due to acceleration will at least partially counteract the dilation caused by the velocity (predicted by Einstein), allowing the other to see the bouncing beam move faster than c. Still, though frustrated, I thoroughly enjoyed the thread I started and I am grateful to all of the people who had the patience to contribute. In return, I can only assure you that I will continue to post under the name "Stephen Bint", so as not to undermine your killfile strategies. And may I say in conclusion, that trying to bring the sweet light of reason to the proponents of relativity, is like trying to bring salvation to the DAMNED. Stephen Bint |
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#2
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Stephen Bint wrote: And may I say in conclusion, that trying to bring the sweet light of reason to the proponents of relativity, is like trying to bring salvation to the DAMNED. Why not go back to Jon's quite eloquent explanation of the twins and read it again. You seemed to get it then. Stephen Bint Best, Dan. -- http://lakeweb.net http://ReserveAnalyst.com dbAtLakewebDotCom |
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#3
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"Dan Bloomquist" wrote in message ... Stephen Bint wrote: And may I say in conclusion, that trying to bring the sweet light of reason to the proponents of relativity, is like trying to bring salvation to the DAMNED. Why not go back to Jon's quite eloquent explanation of the twins and read it again. You seemed to get it then. Stephen Bint Best, Dan. Since you suggested it, I did. It stands out as the best post on this thread. Here's a quote: By symmetry, he sees exactly the same things happening as he observes your clock during his journey. And *neither* of you actually *sees* the other's clock "run slow," because of the Doppler effect caused by your approaching each other. And I am to blame for failing to bring the matter to a head. Because I insisted in my example, to be told what the twins actually see, I have demanded that Jon mask the time dilation with the doppler effect. He has reiterated the explanation given in the FAQ, but done a better job of it. The twins, by his reckoning, have aged less than an Earth-bound observer. But the formula for time dilation is symmetrical, because the "v" factor is identical for observers in both frames, looking at the other when one frame is moving relative to the other. This cannot be reconciled with the observers in one of the frames being younger . The problem is not "deciding" which frame is the one running slow, by clutching at an asymmetry. The problem is that time dilation fails to prevent witnesses seeing the bouncing beam going faster than light, unless it works both ways and the Earth-bound observer has also aged less than the twins. If you say either frame is the slow one, you deviate from what the formula asserts, which is plainly that both are slow by the same factor. When you say Why not go back to Jon's quite eloquent explanation of the twins and read it again. You seemed to get it then. you are appealing to me to be open-minded enough to be able to believe it is possible that I am wrong. I would ask the same of you. Stephen Bint |
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#4
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Dear Stephen Bint:
"Stephen Bint" wrote in message .. . .... I started a thread about the twin paradox and cross-posted it to three newsgroups. I am grateful to those who discussed it, even though it got a tiny bit personal at times ![]() I was frustrated by the account of the twin paradox in the FAQ for sci.physics (http://www.faqs.org/faqs/physics-faq/part4/), because it resorts to saying that there is assymetry in the situation. One twin has undergone an acceleration and it is that one which is younger. That cannot be the case, because time dilation is supposed to explain why a light beam, travelling from floor to ceiling of a moving spaceship will not trace out its V-shaped path faster than c. Time must appear to be slowed down or else the observer, looking through the window will see the beam travel faster than c. But if two people pass eachother on skateboards, watching eachother's bouncing beams, they must both see time dilation in the other, or one of them will see the beam going faster than c. If you travel away from the Earth, you find that signals from the Earth are slowed as well. Just not as slowed as the Earth determines your signals to be. Claiming an assymetry based on the acceleration histories of the observer, overlooks the fact that the time dilation must be real and identical in both directions at all times or else someone will see the bouncing beam going faster than c. If only one skateboard rider is younger, what did this younger one see, the other getting older? The beam going even faster than expected, much more than c? If both frames are moving the same speed, but different directions, they will both age the same. It baffles me, that intelligent people, capable of algebra, cannot see that the assertion that time is slowed in a moving frame is a symmetrical assertion, because frames move relative to eachother, symmetrically. Not true. The acceleration provides the asymmetry. The duration of the velocity provides the difference. And the moving and non-moving frames do not agree on the *amount* the other is affected. Besides which, the formula for time dilation is a function of the velocity of the observed frame and makes no mention whatsoever of the acceleration of either frame, before or while the calculation is made. True. This *is* relativity. Absolutes are not at hand. I was told again and again by several posters, "Do the math. Just plug the numbers into the formulas and it all works out just fine." These were the same people who want me to factor in acceleration, which is not mentioned in the formula, because time dilation is purely a function of the relative velocity, which is the same in both directions. Plug the relative velocity of skateboarders A and B into the formula and find out how much slower B's clock is, than A's. And how much slower A's is, than B's. I don't need to "do the math" to see that this formula is telling me two things which cannot both be true. I suppose it depends on your definition of "working out fine". Because I constructed my example with two moving twins, to force them to face the symmetry, the defenders of relativity introduced a new twist: acceleration causes time to speed up, cancelling out the age difference, in both skateboarders. This is an new addition to relativity. Einstein never said anything of the sort. Time dilation doesn't much care about *direction*, only speed. To say that acceleration makes time run faster, implies that if one of the skateboarders is accelerating, the time contraction due to acceleration will at least partially counteract the dilation caused by the velocity (predicted by Einstein), allowing the other to see the bouncing beam move faster than c. Acceleration does skew the results with SR. SR is for use with inertial frames. Still, though frustrated, I thoroughly enjoyed the thread I started and I am grateful to all of the people who had the patience to contribute. In return, I can only assure you that I will continue to post under the name "Stephen Bint", so as not to undermine your killfile strategies. And may I say in conclusion, that trying to bring the sweet light of reason to the proponents of relativity, is like trying to bring salvation to the DAMNED. Quite a lot of work you've cut for yourself. Not only do you know more than anyone else, but you get to shine the light of revelation for us all. Since you've committed the same sins as everyone else who has approached relativity, including the big chip on your shoulder, my guess is there is a plank in your eye. Try analyzing your two skateboarders from a third stationary frame? Tried using addition of velocities? David A. Smith |
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#5
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Dear David Smith:
You have said, If both frames are moving the same speed, but different directions, they will both age the same. So, like the person who wrote the account of the twin paradox in the FAQ, you do believe that time dilation affects the rate of aging. The formula for time dilation is a function of velocity. If I am moving at a given velocity with respect to you, then you are moving at the exact same velocity with respect to me. To whatever extent there is time dilation and a reduction of aging, it is predicted to be the same for you as for me, because v is the same, and the formula is a function of v. You see me in slow motion and I see you in slow motion, so both our ages are reduced by the same amount. Is that not the case? Stephen (formerly)" dlzc1.cox@net wrote in message news:uY%nb.123151$gv5.60210@fed1read05... Dear Stephen Bint: "Stephen Bint" wrote in message .. . ... I started a thread about the twin paradox and cross-posted it to three newsgroups. I am grateful to those who discussed it, even though it got a tiny bit personal at times ![]() I was frustrated by the account of the twin paradox in the FAQ for sci.physics (http://www.faqs.org/faqs/physics-faq/part4/), because it resorts to saying that there is assymetry in the situation. One twin has undergone an acceleration and it is that one which is younger. That cannot be the case, because time dilation is supposed to explain why a light beam, travelling from floor to ceiling of a moving spaceship will not trace out its V-shaped path faster than c. Time must appear to be slowed down or else the observer, looking through the window will see the beam travel faster than c. But if two people pass eachother on skateboards, watching eachother's bouncing beams, they must both see time dilation in the other, or one of them will see the beam going faster than c. If you travel away from the Earth, you find that signals from the Earth are slowed as well. Just not as slowed as the Earth determines your signals to be. Claiming an assymetry based on the acceleration histories of the observer, overlooks the fact that the time dilation must be real and identical in both directions at all times or else someone will see the bouncing beam going faster than c. If only one skateboard rider is younger, what did this younger one see, the other getting older? The beam going even faster than expected, much more than c? If both frames are moving the same speed, but different directions, they will both age the same. It baffles me, that intelligent people, capable of algebra, cannot see that the assertion that time is slowed in a moving frame is a symmetrical assertion, because frames move relative to eachother, symmetrically. Not true. The acceleration provides the asymmetry. The duration of the velocity provides the difference. And the moving and non-moving frames do not agree on the *amount* the other is affected. Besides which, the formula for time dilation is a function of the velocity of the observed frame and makes no mention whatsoever of the acceleration of either frame, before or while the calculation is made. True. This *is* relativity. Absolutes are not at hand. I was told again and again by several posters, "Do the math. Just plug the numbers into the formulas and it all works out just fine." These were the same people who want me to factor in acceleration, which is not mentioned in the formula, because time dilation is purely a function of the relative velocity, which is the same in both directions. Plug the relative velocity of skateboarders A and B into the formula and find out how much slower B's clock is, than A's. And how much slower A's is, than B's. I don't need to "do the math" to see that this formula is telling me two things which cannot both be true. I suppose it depends on your definition of "working out fine". Because I constructed my example with two moving twins, to force them to face the symmetry, the defenders of relativity introduced a new twist: acceleration causes time to speed up, cancelling out the age difference, in both skateboarders. This is an new addition to relativity. Einstein never said anything of the sort. Time dilation doesn't much care about *direction*, only speed. To say that acceleration makes time run faster, implies that if one of the skateboarders is accelerating, the time contraction due to acceleration will at least partially counteract the dilation caused by the velocity (predicted by Einstein), allowing the other to see the bouncing beam move faster than c. Acceleration does skew the results with SR. SR is for use with inertial frames. Still, though frustrated, I thoroughly enjoyed the thread I started and I am grateful to all of the people who had the patience to contribute. In return, I can only assure you that I will continue to post under the name "Stephen Bint", so as not to undermine your killfile strategies. And may I say in conclusion, that trying to bring the sweet light of reason to the proponents of relativity, is like trying to bring salvation to the DAMNED. Quite a lot of work you've cut for yourself. Not only do you know more than anyone else, but you get to shine the light of revelation for us all. Since you've committed the same sins as everyone else who has approached relativity, including the big chip on your shoulder, my guess is there is a plank in your eye. Try analyzing your two skateboarders from a third stationary frame? Tried using addition of velocities? David A. Smith |
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#6
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Dear Stephen Bint:
"Stephen Bint" wrote in message .. . Dear David Smith: You have said, If both frames are moving the same speed, but different directions, they will both age the same. So, like the person who wrote the account of the twin paradox in the FAQ, you do believe that time dilation affects the rate of aging. Let me say yes, this way: If I travel between here and the store in my car in different ways, do I show different mileage on my car for each trip? Yes, the path you travel racks up different "mileage". The formula for time dilation is a function of velocity. If I am moving at a given velocity with respect to you, then you are moving at the exact same velocity with respect to me. Not quite correct. To whatever extent there is time dilation and a reduction of aging, it is predicted to be the same for you as for me, because v is the same, and the formula is a function of v. Not necessarily true. Since one frame does not see time or length the same as the other, inferred velocities are bumfuzzled. For example a moving triplet and a stationary triplet will not agree how fast the moving triplet is moving. (I added a third twin, to merge with your gedanken. I hope their mom doesn't mind.) You see me in slow motion and I see you in slow motion, so both our ages are reduced by the same amount. Not the same amount, no. The sign is correct ("slowed"), but the magnitude is not. Is that not the case? Answered. Look at the FAQ again. David A. Smith |
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#7
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Stephen Bint wrote: "Dan Bloomquist" wrote in message Why not go back to Jon's quite eloquent explanation of the twins and read it again. You seemed to get it then. Since you suggested it, I did. It stands out as the best post on this thread. Here's a quote: Jon: By symmetry, he sees exactly the same things happening as he observes your clock during his journey. And *neither* of you actually *sees* the other's clock "run slow," because of the Doppler effect caused by your approaching each other. The problem is not "deciding" which frame is the one running slow, by clutching at an asymmetry. The problem is that time dilation fails to prevent witnesses seeing the bouncing beam going faster than light, unless it works both ways and the Earth-bound observer has also aged less than the twins. If you say either frame is the slow one, you deviate from what the formula asserts, which is plainly that both are slow by the same factor. Do you see the *sees*? The FoR 'is slow', is not the same as the observation 'is slow'. From the earth, the observation is that both clocks are running at the same rate! I think Jon made the distinction between observations and *is* very clear. you are appealing to me to be open-minded enough to be able to believe it is possible that I am wrong. I would ask the same of you. It isn't about being 'open minded'. The math works. The observations are consistent. Since 1905 there has been no hole found by minds very much greater than ours. (I'm just a little mind. ) As you muddle through all the 'paradoxes', (And I still do), learn the principles. When it is all very clear in your head, then you can look beyond it for something new. But without a contradictory observation to SR, that something new will only be an extension of SR. Stephen Bint Best, Dan. -- http://lakeweb.net http://ReserveAnalyst.com dbAtLakewebDotCom |
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#8
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David,
The formula for time dilation is a function of velocity. If I am moving at a given velocity with respect to you, then you are moving at the exact same velocity with respect to me. Not quite correct. In that case, if I am moving at 10kph with respect to you, at what velocity will you be moving, with respect to me? Greater, or less? Stephen (formerly)" dlzc1.cox@net wrote in message news:sy0ob.123157$gv5.53477@fed1read05... Dear Stephen Bint: "Stephen Bint" wrote in message .. . Dear David Smith: You have said, If both frames are moving the same speed, but different directions, they will both age the same. So, like the person who wrote the account of the twin paradox in the FAQ, you do believe that time dilation affects the rate of aging. Let me say yes, this way: If I travel between here and the store in my car in different ways, do I show different mileage on my car for each trip? Yes, the path you travel racks up different "mileage". The formula for time dilation is a function of velocity. If I am moving at a given velocity with respect to you, then you are moving at the exact same velocity with respect to me. Not quite correct. To whatever extent there is time dilation and a reduction of aging, it is predicted to be the same for you as for me, because v is the same, and the formula is a function of v. Not necessarily true. Since one frame does not see time or length the same as the other, inferred velocities are bumfuzzled. For example a moving triplet and a stationary triplet will not agree how fast the moving triplet is moving. (I added a third twin, to merge with your gedanken. I hope their mom doesn't mind.) You see me in slow motion and I see you in slow motion, so both our ages are reduced by the same amount. Not the same amount, no. The sign is correct ("slowed"), but the magnitude is not. Is that not the case? Answered. Look at the FAQ again. David A. Smith |
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#9
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"Stephen Bint" wrote in message .. . David, The formula for time dilation is a function of velocity. If I am moving at a given velocity with respect to you, then you are moving at the exact same velocity with respect to me. Not quite correct. In that case, if I am moving at 10kph with respect to you, at what velocity will you be moving, with respect to me? Greater, or less? Stephen You haven't yet said what my velocity is. Am I stationary? -- Bonnie Granat Granat Technical Editing and Writing http://www.editors-writers.info |
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#10
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IMHO you are overcomplicating the whole thing.
The atoms in the one twin are moving faster and hence due their moving fast, the function of aging, is slowed. The normal interactions of the atoms are slowed as opposed to the functions of atoms in a normal state of rest. The twin on earth, ages, the twin travelling does not age at the same rate. Time is not consistent between bodies at rest and bodies in accelleration. Simply because atoms act differently at rest, or under the influence of accelleration. Time is nothing in and of itself. If it were then you would say, poppycock. They are the same age. One just didn't age as well as the other. |
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