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| Tags: prudent, relativists, sometimes |
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Tom Roberts wrote in sci.physics.relativity:
David wrote: If I have a disk that has a rotational velocity V at its outer edge, does someone who is at rest with respect to the center of the disk conclude that some sort of length contraction occurs because of V and therefore the rotating disk has a smaller circumference than the same disk when it is not rotating? Normally when one says "the circumference of this disk", they mean a measurement made _simultaneously_ around the entire edge of the disk. For an inertial observer (e.g. of the inertial frame in which the center is at rest) this is easy; for a rotating observer on the disk itself this is impossible -- there is no single self-consistent definition of simultaneity for a rotating system. So you _must_ change your notion of what "circumference" means for a rotating disk. So for an inertial observer the measurement is easy but Tom Roberts the relativist would never say "Length contraction occurs", or "Length dilation occurs", or something similar to Einstein's conclusion in Chapter 23 in Einstein's "Relativity", e.g. "Length contraction occurs and therefore the circumference is longer than 2(pi)R which means that length dilation occurs". The reason is that Chapter 23 is too idiotic (Einstein's attempt to plagiarize Poincare was a total failure in this case) and some relativists know that. Pentcho Valev |
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"Pentcho Valev" wrote in message ups.com... Tom Roberts wrote in sci.physics.relativity: David wrote: If I have a disk that has a rotational velocity V at its outer edge, does someone who is at rest with respect to the center of the disk conclude that some sort of length contraction occurs because of V and therefore the rotating disk has a smaller circumference than the same disk when it is not rotating? Normally when one says "the circumference of this disk", they mean a measurement made _simultaneously_ around the entire edge of the disk. For an inertial observer (e.g. of the inertial frame in which the center is at rest) this is easy; for a rotating observer on the disk itself this is impossible -- there is no single self-consistent definition of simultaneity for a rotating system. So you _must_ change your notion of what "circumference" means for a rotating disk. So for an inertial observer the measurement is easy but Tom Roberts the relativist would never say "Length contraction occurs", or "Length dilation occurs", or something similar Remember your heroic struggle with time constriction, imbecile? http://groups.google.com/groups?q=au...v+constriction Dirk Vdm |
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Pentcho Valev wrote:
Tom Roberts wrote in sci.physics.relativity: David wrote: If I have a disk that has a rotational velocity V at its outer edge, does someone who is at rest with respect to the center of the disk conclude that some sort of length contraction occurs because of V and therefore the rotating disk has a smaller circumference than the same disk when it is not rotating? Normally when one says "the circumference of this disk", they mean a measurement made _simultaneously_ around the entire edge of the disk. For an inertial observer (e.g. of the inertial frame in which the center is at rest) this is easy; for a rotating observer on the disk itself this is impossible -- there is no single self-consistent definition of simultaneity for a rotating system. So you _must_ change your notion of what "circumference" means for a rotating disk. So for an inertial observer the measurement is easy but Tom Roberts the relativist would never say "Length contraction occurs", or "Length dilation occurs", or something similar to Einstein's conclusion in Chapter 23 in Einstein's "Relativity", e.g. "Length contraction occurs and therefore the circumference is longer than 2(pi)R which means that length dilation occurs". The reason is that Chapter 23 is too idiotic (Einstein's attempt to plagiarize Poincare was a total failure in this case) and some relativists know that. Pentcho Valev Indeed... Einstein violates his own Chapter 17 admonition about application of the imaginary operator: To start with, he places one of two identically constructed clocks at the centre of the circular disc, and the other on the edge of the disc, so that they are at rest relative to it. We now ask ourselves whether both clocks go at the same rate from the standpoint of the non-rotating Galileian reference-body K. As judged from this body, the clock at the centre of the disc has no velocity, whereas the clock at the edge of the disc is in motion relative to K in consequence of the rotation. According to a result obtained in Section XII, it follows that the latter clock goes at a rate permanently slower than that of the clock at the centre of the circular disc, i.e. as observed from K. It is obvious that the same effect would be noted by an observer whom we will imagine sitting alongside his clock at the centre of the circular disc. Thus on our circular disc, or, to make the case more general, in every gravitational field, a clock will go more quickly or less quickly, according to the position in which the clock is situated (at rest). For this reason it is not possible to obtain a reasonable definition of time with the aid of clocks which are arranged at rest with respect to the body of reference. A similar difficulty presents itself when we attempt to apply our earlier definition of simultaneously in such a case, but I do not wish to go any farther into this question. http://www.bartleby.com/173/23.html The real Coulomb effects that attach to an observer of light and also invoke application of a proper imaginary operator are completly ignored. "Incident Wave Impedance" http://www.conformity.com/0102reflectionsfig3.gif http://www.conformity.com/0102reflections.html "Speed of Light" http://www.nrao.edu/~smyers/courses/...edoflight.html The false logic follows the same lines of the paper "The Photoelectric effect" where a particle nature is concluded because the writer can't think of any alternatives. Fortunately, some scientists find that an unsatisfactory basis from which to draw conclusions. The Nobel Committee avoids committing itself to the particle concept. Light-quanta or with modern terminology, photons, were explicitly mentioned in the reports on which the prize decision rested only in connection with emission and absorption processes. http://nobelprize.org/physics/articl...ong/index.html Sue... |
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Pentcho Valev wrote:
Tom Roberts wrote in sci.physics.relativity: David wrote: If I have a disk that has a rotational velocity V at its outer edge, does someone who is at rest with respect to the center of the disk conclude that some sort of length contraction occurs because of V and therefore the rotating disk has a smaller circumference than the same disk when it is not rotating? Normally when one says "the circumference of this disk", they mean a measurement made _simultaneously_ around the entire edge of the disk. For an inertial observer (e.g. of the inertial frame in which the center is at rest) this is easy; for a rotating observer on the disk itself this is impossible -- there is no single self-consistent definition of simultaneity for a rotating system. So you _must_ change your notion of what "circumference" means for a rotating disk. Tom Roberts continued: | If instead of a solid disk you imagine a "disk" made up of thin radial | fibers with increasing widths such that together they make up the disk | when not rotating, then as the set of fibers starts rotating, small gaps | will appear between the fibers, getting larger as the tangential velocity | increases. Of course in practice this is immeasurably small, and for practical | materials the fibers will be torn apart long before either an appreciable | fraction of c is achieved or the gaps are observable. Lorentz contraction of the fibres does occur. So for an inertial observer the measurement is easy but Tom Roberts the relativist would never say "Length contraction occurs", or "Length dilation occurs", or something similar to Einstein's conclusion in Chapter 23 in Einstein's "Relativity", e.g. "Length contraction occurs and therefore the circumference is longer than 2(pi)R which means that length dilation occurs". So what's wrong with that? In Tom's scenario, the Lorentz contraction of the fibres will make gaps between the fibres. But imagine that we have a circular slot in a very solid material. In this slot there is a circular ribbon just fitting into the slot. The ribbon is free of mechanical stresses when it is stationary. So what happens when the ribbon is set in rapid rotation? It will Lorentz contract, but since it is restricted by the slot, it is not allowed to contract. So there will mechanical stress in the ribbon. The ribbon will be mechanically stretched to compensate for the Lorentz contraction. If you imagine that a number of short (compared to the circumference) measuring rods were laid out end to end along the ribbon, and moving along with the ribbon, these measuring rods will be Lorentz contracted. So the observer on the ribbon will measure the circumference to be longer than 2pi.r. So indeed, a loose (and confusing) description of this might be: "Length contraction occurs and therefore the circumference is longer than 2(pi)R which means that length dilation occurs". The "Length contraction" is a Lorentz contraction. The "Length dilation" is a mechanical stretch. The reason is that Chapter 23 is too idiotic (Einstein's attempt to plagiarize Poincare was a total failure in this case) and some relativists know that. It's confusing maybe, but not idiotic. Paul |
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"Paul B. Andersen" wrote in message ... | Pentcho Valev wrote: | Tom Roberts wrote in sci.physics.relativity: | David wrote: | If I have a disk that has a rotational velocity V at its outer | edge, does someone who is at rest with respect to the center of the | disk conclude that some sort of length contraction occurs because of V | and therefore the rotating disk has a smaller circumference than the | same disk when it is not rotating? | Normally when one says "the circumference of this disk", they mean a | measurement made _simultaneously_ around the entire edge of the disk. | For an inertial observer (e.g. of the inertial frame in which the center | is at rest) this is easy; for a rotating observer on the disk itself | this is impossible -- there is no single self-consistent definition of | simultaneity for a rotating system. | | So you _must_ change your notion of what "circumference" means for a | rotating disk. | | Tom Roberts continued: || If instead of a solid disk you imagine a "disk" made up of thin radial || fibers with increasing widths such that together they make up the disk || when not rotating, then as the set of fibers starts rotating, small gaps || will appear between the fibers, getting larger as the tangential velocity || increases. Of course in practice this is immeasurably small, and for practical || materials the fibers will be torn apart long before either an appreciable || fraction of c is achieved or the gaps are observable. | | Lorentz contraction of the fibres does occur. | | So for an inertial observer the measurement is easy but Tom Roberts the | relativist would never say "Length contraction occurs", or "Length | dilation occurs", or something similar to Einstein's conclusion in | Chapter 23 in Einstein's "Relativity", e.g. "Length contraction occurs | and therefore the circumference is longer than 2(pi)R which means that | length dilation occurs". | | So what's wrong with that? | In Tom's scenario, the Lorentz contraction of the fibres will | make gaps between the fibres. | But imagine that we have a circular slot in a very solid material. | In this slot there is a circular ribbon just fitting into the slot. | The ribbon is free of mechanical stresses when it is stationary. | So what happens when the ribbon is set in rapid rotation? | It will Lorentz contract, but since it is restricted by the slot, it is | not allowed to contract. So there will mechanical stress in the ribbon. | The ribbon will be mechanically stretched to compensate for the Lorentz | contraction. If you imagine that a number of short (compared to | the circumference) measuring rods were laid out end to end along | the ribbon, and moving along with the ribbon, these measuring rods | will be Lorentz contracted. So the observer on the ribbon will measure | the circumference to be longer than 2pi.r. | So indeed, a loose (and confusing) description of this might be: | "Length contraction occurs and therefore the circumference is longer | than 2(pi)R which means that length dilation occurs". | The "Length contraction" is a Lorentz contraction. | The "Length dilation" is a mechanical stretch. | | The reason is that Chapter 23 is too idiotic | (Einstein's attempt to plagiarize Poincare was a total failure in this | case) and some relativists know that. | | It's confusing maybe, but not idiotic. | | Paul Hahaha! It's idiotic, but not confusing. Back arsewards again, confused idiot. |
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#6
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Paul B. Andersen wrote: Pentcho Valev wrote: Tom Roberts wrote in sci.physics.relativity: David wrote: If I have a disk that has a rotational velocity V at its outer edge, does someone who is at rest with respect to the center of the disk conclude that some sort of length contraction occurs because of V and therefore the rotating disk has a smaller circumference than the same disk when it is not rotating? Normally when one says "the circumference of this disk", they mean a measurement made _simultaneously_ around the entire edge of the disk. For an inertial observer (e.g. of the inertial frame in which the center is at rest) this is easy; for a rotating observer on the disk itself this is impossible -- there is no single self-consistent definition of simultaneity for a rotating system. So you _must_ change your notion of what "circumference" means for a rotating disk. Tom Roberts continued: | If instead of a solid disk you imagine a "disk" made up of thin radial | fibers with increasing widths such that together they make up the disk | when not rotating, then as the set of fibers starts rotating, small gaps | will appear between the fibers, getting larger as the tangential velocity | increases. Of course in practice this is immeasurably small, and for practical | materials the fibers will be torn apart long before either an appreciable | fraction of c is achieved or the gaps are observable. Lorentz contraction of the fibres does occur. So for an inertial observer the measurement is easy but Tom Roberts the relativist would never say "Length contraction occurs", or "Length dilation occurs", or something similar to Einstein's conclusion in Chapter 23 in Einstein's "Relativity", e.g. "Length contraction occurs and therefore the circumference is longer than 2(pi)R which means that length dilation occurs". So what's wrong with that? In Tom's scenario, the Lorentz contraction of the fibres will make gaps between the fibres. But imagine that we have a circular slot in a very solid material. In this slot there is a circular ribbon just fitting into the slot. The ribbon is free of mechanical stresses when it is stationary. So what happens when the ribbon is set in rapid rotation? It will Lorentz contract, but since it is restricted by the slot, it is not allowed to contract. So there will mechanical stress in the ribbon. The ribbon will be mechanically stretched to compensate for the Lorentz contraction. If you imagine that a number of short (compared to the circumference) measuring rods were laid out end to end along the ribbon, and moving along with the ribbon, these measuring rods will be Lorentz contracted. So the observer on the ribbon will measure the circumference to be longer than 2pi.r. So indeed, a loose (and confusing) description of this might be: "Length contraction occurs and therefore the circumference is longer than 2(pi)R which means that length dilation occurs". The "Length contraction" is a Lorentz contraction. The "Length dilation" is a mechanical stretch. The reason is that Chapter 23 is too idiotic (Einstein's attempt to plagiarize Poincare was a total failure in this case) and some relativists know that. It's confusing maybe, but not idiotic. Paul Contriving a mechanism to rescue Einstein's absurd mechanism hardly seems equivalent to a valid explanation in terms of Maxwell's equations and the finite speed of light. Sue... |
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"Sue..." wrote in message oups.com... [snip] |
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