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| Tags: paradox, seeming, unresolved |
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#1
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I've seen 100% satisfactory resolutions to the Twin Paradox and the
Barn-Pole paradox, but am unable to find anyone who can resolve the Bug-Rivet SR paradox described he http://hyperphysics.phy-astr.gsu.edu.../bugrivet.html -KJS |
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#2
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Ken and Vicki wrote:
I've seen 100% satisfactory resolutions to the Twin Paradox and the Barn-Pole paradox, but am unable to find anyone who can resolve the Bug-Rivet SR paradox described he http://hyperphysics.phy-astr.gsu.edu.../bugrivet.html It's really the same as the barn-and-pole paradox, in the variant in which the person at rest wit respect to the barn waits until the pole is inside and closes the door. Here's a hint: in the bug's frame of reference, what happens to the tip of the rivet when the head hits the wall? Remember, the information that the head has hit the wall can't travel down the rivet faster than light. Steve Carlip |
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#3
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"Ken and Vicki" escribió en el mensaje ... I've seen 100% satisfactory resolutions to the Twin Paradox and the Barn-Pole paradox, but am unable to find anyone who can resolve the Bug-Rivet SR paradox described he http://hyperphysics.phy-astr.gsu.edu.../bugrivet.html -KJS A plaussible scenario in lack of more data: the bug dies smashed, and the rivet is destroyed, breaking in two or more pieces. This paradox does have to do with the relativity of the simultaneity, but it also has to do with the signals travelling at speed less than c. Let's see it briefly: 1) bug PoV: the rivet is small, but it is not stoped because the signals when hitting the external part of the wall cannot reach the front of the rivet. The rivet breaks, and the front continues travel and kills the bug. 2) Rivet PoV: the bug is smashed first, and later the wider part of the river hits the external part of the wall. The rivet is fragmented, but the bug died first. In both cases, the bug dies and the rivet is broken into 2 pieces. The relativity of simultaneity is a part of the scenario, but also the impossibility of the end of the rivet to "communicate" to the front that it has to stop, making the rivet to break into 2 pieces. (We consider the wall being more "solid"). Other plaussible scenarios will also not yield any paradox at all. |
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#4
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"Cesar Sirvent" wrote in message s... "Ken and Vicki" escribió en el mensaje ... I've seen 100% satisfactory resolutions to the Twin Paradox and the Barn-Pole paradox, but am unable to find anyone who can resolve the Bug-Rivet SR paradox described he http://hyperphysics.phy-astr.gsu.edu.../bugrivet.html -KJS A plaussible scenario in lack of more data: the bug dies smashed, and the rivet is destroyed, breaking in two or more pieces. This paradox does have to do with the relativity of the simultaneity, but it also has to do with the signals travelling at speed less than c. Let's see it briefly: 1) bug PoV: the rivet is small, but it is not stoped because the signals when hitting the external part of the wall cannot reach the front of the rivet. The rivet breaks, and the front continues travel and kills the bug. 2) Rivet PoV: the bug is smashed first, and later the wider part of the river hits the external part of the wall. The rivet is fragmented, but the bug died first. In both cases, the bug dies and the rivet is broken into 2 pieces. The relativity of simultaneity is a part of the scenario, but also the impossibility of the end of the rivet to "communicate" to the front that it has to stop, making the rivet to break into 2 pieces. (We consider the wall being more "solid"). Other plaussible scenarios will also not yield any paradox at all. The two answer offered so far are WAY unsatisfactory!!! This paradox is not about deceleration times or tensile strength! Dispense with all that naggage at once. ALL that this paradox is about is that from the rivet's PoV, the bug gets squashed before the head of the rivet is stopped by the wall; the math is clearly shown at the original GSU posting, and is correct, and accounts for Relativity of Simultaneity, and yet the bug gets squashed from that Pov but NOT from the other (the wall's) PoV. Nor is the bug squashed if the velocity is low. A paradox truly persists, and I challenge some minds to RESOLVE it squarely on the side of STR! [Because I wholeheartedly believe in said theory.] -KJS |
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#5
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"Ken and Vicki" wrote in message ... I've seen 100% satisfactory resolutions to the Twin Paradox ... The Twin Paradox isn't resolved. Here's the triplet clock paradox.... Two of the clocks fly off in spaceships and run only while in inertial motion & turn off while accelerating. They fly off in opposite directions relative to the earth & have identical velocities -- relative to the earth. They return after 1 light year as measured by the clocks local to their ships. According to SR, when they arrive back on Earth one of the clocks should be "old" and the other "young". In fact, because the velocity of one ship relative to the other is greater than that relative to earth, they should both be "older" than the stay at home clock & the same age as each other. Regards Jack Martinelli http://www.martinelli.org |
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#6
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"Ken and Vicki" escribió en el mensaje ... "Cesar Sirvent" wrote in message s... "Ken and Vicki" escribió en el mensaje ... I've seen 100% satisfactory resolutions to the Twin Paradox and the Barn-Pole paradox, but am unable to find anyone who can resolve the Bug-Rivet SR paradox described he http://hyperphysics.phy-astr.gsu.edu.../bugrivet.html -KJS A plaussible scenario in lack of more data: the bug dies smashed, and the rivet is destroyed, breaking in two or more pieces. This paradox does have to do with the relativity of the simultaneity, but it also has to do with the signals travelling at speed less than c. Let's see it briefly: 1) bug PoV: the rivet is small, but it is not stoped because the signals when hitting the external part of the wall cannot reach the front of the rivet. The rivet breaks, and the front continues travel and kills the bug. 2) Rivet PoV: the bug is smashed first, and later the wider part of the river hits the external part of the wall. The rivet is fragmented, but the bug died first. In both cases, the bug dies and the rivet is broken into 2 pieces. The relativity of simultaneity is a part of the scenario, but also the impossibility of the end of the rivet to "communicate" to the front that it has to stop, making the rivet to break into 2 pieces. (We consider the wall being more "solid"). Other plaussible scenarios will also not yield any paradox at all. The two answer offered so far are WAY unsatisfactory!!! This paradox is not about deceleration times or tensile strength! Dispense with all that naggage at once. ALL that this paradox is about is that from the rivet's PoV, the bug gets squashed before the head of the rivet is stopped by the wall; The rivet cannot be stopped by the wall. Information cannot travel faster than light, and the part in contact with the wall must say to the front of the rivet "hey, you, please STOP!!"... but the front cannot receive this message because it goes too fast... consequence, the front does not stop, it breaks, and killls the disgraceful bug. No paradox, end of the story. Happy New Year 2004 the math is clearly shown at the original GSU posting, and is correct, and accounts for Relativity of Simultaneity, and yet the bug gets squashed from that Pov but NOT from the other (the wall's) PoV. Nor is the bug squashed if the velocity is low. A paradox truly persists, and I challenge some minds to RESOLVE it squarely on the side of STR! [Because I wholeheartedly believe in said theory.] -KJS |
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#7
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"Cesar Sirvent" wrote in message s... "Ken and Vicki" escribió en el mensaje ... "Cesar Sirvent" wrote in message s... "Ken and Vicki" escribió en el mensaje ... I've seen 100% satisfactory resolutions to the Twin Paradox and the Barn-Pole paradox, but am unable to find anyone who can resolve the Bug-Rivet SR paradox described he http://hyperphysics.phy-astr.gsu.edu.../bugrivet.html -KJS A plaussible scenario in lack of more data: the bug dies smashed, and the rivet is destroyed, breaking in two or more pieces. This paradox does have to do with the relativity of the simultaneity, but it also has to do with the signals travelling at speed less than c. Let's see it briefly: 1) bug PoV: the rivet is small, but it is not stoped because the signals when hitting the external part of the wall cannot reach the front of the rivet. The rivet breaks, and the front continues travel and kills the bug. 2) Rivet PoV: the bug is smashed first, and later the wider part of the river hits the external part of the wall. The rivet is fragmented, but the bug died first. In both cases, the bug dies and the rivet is broken into 2 pieces. The relativity of simultaneity is a part of the scenario, but also the impossibility of the end of the rivet to "communicate" to the front that it has to stop, making the rivet to break into 2 pieces. (We consider the wall being more "solid"). Other plaussible scenarios will also not yield any paradox at all. The two answer offered so far are WAY unsatisfactory!!! This paradox is not about deceleration times or tensile strength! Dispense with all that naggage at once. ALL that this paradox is about is that from the rivet's PoV, the bug gets squashed before the head of the rivet is stopped by the wall; The rivet cannot be stopped by the wall. Information cannot travel faster than light, and the part in contact with the wall must say to the front of the rivet "hey, you, please STOP!!"... but the front cannot receive this message because it goes too fast... consequence, the front does not stop, it breaks, and killls the disgraceful bug. No paradox, end of the story. Happy New Year 2004 the math is clearly shown at the original GSU posting, and is correct, and accounts for Relativity of Simultaneity, and yet the bug gets squashed from that Pov but NOT from the other (the wall's) PoV. Nor is the bug squashed if the velocity is low. A paradox truly persists, and I challenge some minds to RESOLVE it squarely on the side of STR! [Because I wholeheartedly believe in said theory.] -KJS Cesar: Your point is well-taken indeed! but it fails to address the *primary* paradox which the scenario was drawn up to present. |
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#8
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"Jack Martinelli" wrote in message ... "Ken and Vicki" wrote in message ... I've seen 100% satisfactory resolutions to the Twin Paradox ... The Twin Paradox isn't resolved. Here's the triplet clock paradox.... Two of the clocks fly off in spaceships and run only while in inertial motion & turn off while accelerating. They fly off in opposite directions relative to the earth & have identical velocities -- relative to the earth. They return after 1 light year as measured by the clocks local to their ships. According to SR, when they arrive back on Earth one of the clocks should be "old" and the other "young". In fact, because the velocity of one ship relative to the other is greater than that relative to earth, they should both be "older" than the stay at home clock & the same age as each other. Regards Jack Martinelli http://www.martinelli.org Thanks but I know better than to see a paradox in that presentment of yours. The Twin Paradox and your Triple Paradox are fully resolved without any need for General Relativity, accelerations, G-forces and all that. Like so many, you fail to resolve the apparent paradox because you choose to simply *ignore* relativistic clock dissynchronicity (usually termed "Relativity of Simultaneity"). In your Triple Paradox, the returning clocks will agree with one another and both will be younger than Earth's. Time dilation does not stand alone, nor does length contraction, nor does clock dissynchronicity... rather, they all THREE work dependent upon one another in the Lorentz Transform to make for Relativity to be a consistent truism. Your confusion results from ignoring that relativistic clock dissynchronicity is direction-dependent. Time dilation isn't direction-dependent, and length contraction certainly isn't direction-dependent, but the Relativity of Simultaneity is most DEFINITELY direction-dependent! When the space-travelling clocks (or brothers) reverse direction out in space, YES, they can still be thought of as relativistically stock still while it is Earth that is in motion -- but if it is Earth that is doing the moving, then her direction has clearly been reversed, and ALL of the clocks along that "real estate" that comprise the Earth frame have all-of-a-sudden switched orientation of their clock dissynchronicity. Each of the various space-travelling clocks (or brothers) can rely soley upon the immediate *local* clock of that Earth frame to serve as a basis for any extropolating to discern Earth's clock reading; and where that extrapolating went backward in time on the one hand, after the direction reverse the extrapolating must point *forward* in time. -KJS |
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#9
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Ken and Vicki:
The two answer offered so far are WAY unsatisfactory!!! This paradox is not about deceleration times or tensile strength! No, but it is about no signal beimg able to propagate faster than light. It is therefore impossible for the end of the rivet to come to rest with respect to the head of the rivet in less time than it takes light to propagate down the length of the rivet. Dispense with all that naggage at once. ALL that this paradox is about is that from the rivet's PoV, the bug gets squashed before the head of the rivet is stopped by the wall; the math is clearly shown at the original GSU posting, and is correct, and accounts for Relativity of Simultaneity, and yet the bug gets squashed from that Pov but NOT from the other (the wall's) PoV. Nor is the bug squashed if the velocity is low. A paradox truly persists, and I challenge some minds to RESOLVE it squarely on the side of STR! [Because I wholeheartedly believe in said theory.] You are insisting that the scenario violate special relativity. That is why you have the paradox. Don't insist that special relativity explain signals propagating faster than light and the paradox will go away. |
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#10
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"Ken and Vicki" wrote in message ... The two answer offered so far are WAY unsatisfactory!!! ALL that this paradox is about is that from the rivet's PoV, the bug gets squashed before the head of the rivet is stopped by the wall; and from the bug's point of view the bug gets squashed after the head of the rivet hits the wall. What is the problem? Martin Hogbin |
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