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| Tags: invariant, srt, variant |
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#1
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Which is the more accurate, or more useful interpretation?
A. The metric of space is frame variant (local) in a way that makes the speed of EM radiation frame invariant. B. The speed of EM radiation is frame invariant thereby causing the metric of space to be frame variant (local). The latter is the usually quoted form, but I must confess a certain liking for the former. Would we be able to deduce detectable difference between the two? -- Ian G8ILZ There are always two people in every pictu the photographer and the viewer. ~Ansel Adams |
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#2
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On Feb 10, 4:58 am, Prometheus wrote:
Which is the more accurate, or more useful interpretation? A. The metric of space is frame variant (local) in a way that makes the speed of EM radiation frame invariant. B. The speed of EM radiation is frame invariant thereby causing the metric of space to be frame variant (local). The latter is the usually quoted form, but I must confess a certain liking for the former. Would we be able to deduce detectable difference between the two? -- Ian G8ILZ There are always two people in every pictu the photographer and the viewer. ~Ansel Adams Assuming you refer to an *inertial* frame: A Lorentz transformation or any other coordinate transformation will convert electric or magnetic fields into mixtures of electric and magnetic fields, but no transformation mixes them with the gravitational field. http://www.aip.org/pt/vol-58/iss-11/p31.html it is impossible to perform a physical experiment which differentiates in any fundamental sense between different inertial frames. http://farside.ph.utexas.edu/teachin...res/node7.html http://en.wikipedia.org/wiki/Free_space http://en.wikipedia.org/wiki/Impedance_of_free_space http://www-ssg.sr.unh.edu/ism/what.html http://www.sm.luth.se/~urban/master/Theory/3.html "The Ewald-Oseen extinction theorem and extinction lengths" http://scitation.aip.org/getabs/serv...cvips&gifs=yes So the choice is more that just local or non-local but considers the near and farfields and the constituants of the free space dielectric. Sue... |
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#3
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In article
, Sue... writes On Feb 10, 4:58 am, Prometheus wrote: Which is the more accurate, or more useful interpretation? A. The metric of space is frame variant (local) in a way that makes the speed of EM radiation frame invariant. B. The speed of EM radiation is frame invariant thereby causing the metric of space to be frame variant (local). The latter is the usually quoted form, but I must confess a certain liking for the former. Would we be able to deduce detectable difference between the two? -- Ian G8ILZ There are always two people in every pictu the photographer and the viewer. ~Ansel Adams Assuming you refer to an *inertial* frame: Yes, sorry, the use of a shortened from was negligent. A Lorentz transformation or any other coordinate transformation will convert electric or magnetic fields into mixtures of electric and magnetic fields, but no transformation mixes them with the gravitational field. http://www.aip.org/pt/vol-58/iss-11/p31.html Perfectly true, but not relevant to my question. it is impossible to perform a physical experiment which differentiates in any fundamental sense between different inertial frames. http://farside.ph.utexas.edu/teachin...res/node7.html http://en.wikipedia.org/wiki/Free_space http://en.wikipedia.org/wiki/Impedance_of_free_space http://www-ssg.sr.unh.edu/ism/what.html http://www.sm.luth.se/~urban/master/Theory/3.html "The Ewald-Oseen extinction theorem and extinction lengths" http://scitation.aip.org/getabs/serv...=normal&id=AJP IAS000067000007000599000001&idtype=cvips&gifs=y es Perfectly true, but not really addressing my question of interpretation and I do not follow the relevance of The Ewald–Oseen extinction theorem and extinction lengths. I doubt that either of my views makes a difference (unless I have poorly worded them). So the choice is more that just local or non-local but considers the near and farfields and the constituants of the free space dielectric. Perfectly true, but not relevant to my question. -- Ian G8ILZ There are always two people in every pictu the photographer and the viewer. ~Ansel Adams |
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#4
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On Feb 10, 1:50 pm, Prometheus wrote:
In article , Sue... writes On Feb 10, 4:58 am, Prometheus wrote: Which is the more accurate, or more useful interpretation? A. The metric of space is frame variant (local) in a way that makes the speed of EM radiation frame invariant. B. The speed of EM radiation is frame invariant thereby causing the metric of space to be frame variant (local). The latter is the usually quoted form, but I must confess a certain liking for the former. Would we be able to deduce detectable difference between the two? -- Ian G8ILZ There are always two people in every pictu the photographer and the viewer. ~Ansel Adams Assuming you refer to an *inertial* frame: Yes, sorry, the use of a shortened from was negligent. A Lorentz transformation or any other coordinate transformation will convert electric or magnetic fields into mixtures of electric and magnetic fields, but no transformation mixes them with the gravitational field. http://www.aip.org/pt/vol-58/iss-11/p31.html Perfectly true, but not relevant to my question. it is impossible to perform a physical experiment which differentiates in any fundamental sense between different inertial frames. http://farside.ph.utexas.edu/teachin...res/node7.html http://en.wikipedia.org/wiki/Free_space http://en.wikipedia.org/wiki/Impedance_of_free_space http://www-ssg.sr.unh.edu/ism/what.html http://www.sm.luth.se/~urban/master/Theory/3.html "The Ewald-Oseen extinction theorem and extinction lengths" http://scitation.aip.org/getabs/serv...=normal&id=AJP IAS000067000007000599000001&idtype=cvips&gifs=y es Perfectly true, but not really addressing my question of interpretation and I do not follow the relevance of The Ewald-Oseen extinction theorem and extinction lengths. I doubt that either of my views makes a difference (unless I have poorly worded them). If you shortened the term "space-time" as you did the the term "inertial frame of reference" then some rewording might be in order. That said, a few ~bench-mark~ properties of space-time similar to your question, are discussed in the chapters following its description: http://farside.ph.utexas.edu/teachin...s/node113.html Sue... So the choice is more that just local or non-local but considers the near and farfields and the constituants of the free space dielectric. Perfectly true, but not relevant to my question. -- Ian G8ILZ There are always two people in every pictu the photographer and the viewer. ~Ansel Adams- Hide quoted text - - Show quoted text - |
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#5
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"Prometheus" wrote in message ... Which is the more accurate, or more useful interpretation? A. The metric of space is frame variant (local) in a way that makes the speed of EM radiation frame invariant. B. The speed of EM radiation is frame invariant thereby causing the metric of space to be frame variant (local). The latter is the usually quoted form, but I must confess a certain liking for the former. Would we be able to deduce detectable difference between the two? Your wording is off. It should be something along the lines of the POR implies the Lorentz transformations up to an undermined constant. Experimentally that constant is the speed of light. Thanks Bill -- Ian G8ILZ There are always two people in every pictu the photographer and the viewer. ~Ansel Adams |
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#6
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In article , Bill Hobba
writes "Prometheus" wrote in message .. . Which is the more accurate, or more useful interpretation? A. The metric of space is frame variant (local) in a way that makes the speed of EM radiation frame invariant. B. The speed of EM radiation is frame invariant thereby causing the metric of space to be frame variant (local). The latter is the usually quoted form, but I must confess a certain liking for the former. Would we be able to deduce detectable difference between the two? Your wording is off. It should be something along the lines of the POR implies the Lorentz transformations up to an undermined constant. Experimentally that constant is the speed of light. I don't think that quite answers it. -- Ian G8ILZ There are always two people in every pictu the photographer and the viewer. ~Ansel Adams |
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#7
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Prometheus wrote:
Which is the more accurate, or more useful interpretation? A. The metric of space is frame variant (local) in a way that makes the speed of EM radiation frame invariant. B. The speed of EM radiation is frame invariant thereby causing the metric of space to be frame variant (local). Neither. You use words inappropriately ("metric of space") for relativity -- it is the metric of spaceTIME which is relevant. In relativity, space has no metric that is independent of observer; all one can do is project the metric of spaceTIME onto a selected spatial 3-manifold. Tom Roberts |
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#8
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"Tom Roberts" wrote in message ... | Prometheus wrote: | Which is the more accurate, or more useful interpretation? | A. The metric of space is frame variant (local) in a way that makes the | speed of EM radiation frame invariant. | B. The speed of EM radiation is frame invariant thereby causing the | metric of space to be frame variant (local). | | Neither. You use words inappropriately ("metric of space") for | relativity -- it is the metric of spaceTIME which is relevant. In | relativity, space has no metric that is independent of observer; all one | can do is project the metric of spaceTIME onto a selected spatial | 3-manifold. | | | Tom Roberts Only Roberts is allowed to use words inappropriately. |
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