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A question about SR and speed
How can the speed of light c be independent of the movement of the observer
as the Special Relativity Theory claims it is when the concept and definition of speed is distance/time? If the distance factor changes then so must the speed product, by definition. How can it be otherwise and the use of the word "speed" make any real sense? Thanks for all answers. |
#2
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"David Johnson" wrote in message
. com... How can the speed of light c be independent of the movement of the observer as the Special Relativity Theory claims it is when the concept and definition of speed is distance/time? If the distance factor changes then so must the speed product, by definition. How can it be otherwise and the use of the word "speed" make any real sense? Thanks for all answers. Because time is also relative. Time slows down as speed increases. This has been proven by flying atomic clocks in opposite directions and then comparing the time differential. Paul Murphy |
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David Johnson wrote:
How can the speed of light c be independent of the movement of the observer as the Special Relativity Theory claims it is when the concept and definition of speed is distance/time? Why not?--that's the way nature works and is verified by millions of observations and experiments. The Global Positioning System offers a continuous empirical verification of both special and general relativity. Velocity Definition http://scienceworld.wolfram.com/physics/Velocity.html Distance is now define in terms of light propagation http://scienceworld.wolfram.com/physics/Meter.html Special Relativity http://scienceworld.wolfram.com/phys...elativity.html There has NEVER been a prediction of Special Relativity that was contradicted by an observation. NEVER! So far, SR has survived almost one hundred years without being falsified. |
#4
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David Johnson wrote:
How can the speed of light c be independent of the movement of the observer as the Special Relativity Theory claims it is when the concept and definition of speed is distance/time? If the distance factor changes then so must the speed product, by definition. How can it be otherwise and the use of the word "speed" make any real sense? Michaelson and Morley found that puzzling as well when they tried to measure the speed of light in different directions and establish an absolute reference frame (the wind of the "aether"). It took Einstein to figure out that if the distance factor changes, then so does the time factor -- so c remains constant regardless of the observer's relative motion. Mojo -- Morris Jones * Monrovia, CA http://www.whiteoaks.com Old Town Astronomers: http://www.otastro.org |
#5
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On Thu, 16 Dec 2004 14:06:20 GMT, "David Johnson"
wrote: How can the speed of light c be independent of the movement of the observer as the Special Relativity Theory claims it is when the concept and definition of speed is distance/time? If the distance factor changes then so must the speed product, by definition. How can it be otherwise and the use of the word "speed" make any real sense? You have the explanation in your post, but you just can't see it. You said: ... definition of speed is distance/time so obviously if the distance factor changes but c is constant, then time must change. Nick -- Nick Theodorakis contact form: http://theodorakis.net/contact.html |
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Indeed it is. I wasn't claiming originality; this is how the equations
of SR are derived in most textbooks. I was'nt accusing you of anything. I did want to point out that MM is the experimental basis for the constant velocity of light. More importantly, the sucess in SR describibg (quantitatively) other physical observations is further justification. Another point is that if you can't understand the concept, then accept it as an artical of faith that is justified by its sucess. If you can't accept the concept then design an experiment to disprove it. |
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This is a response to all who responded to my question.
What clock is supposed to keep track of the time? I've read that every kind of clock, atomic, pendulum, thermodynamic, balance wheel etc., reacts to different conditions differently and, in particular, that the atomic clock will slow down when subject to acceleration. "Morris Jones" wrote in message ... David Johnson wrote: How can the speed of light c be independent of the movement of the observer as the Special Relativity Theory claims it is when the concept and definition of speed is distance/time? If the distance factor changes then so must the speed product, by definition. How can it be otherwise and the use of the word "speed" make any real sense? Michaelson and Morley found that puzzling as well when they tried to measure the speed of light in different directions and establish an absolute reference frame (the wind of the "aether"). It took Einstein to figure out that if the distance factor changes, then so does the time factor -- so c remains constant regardless of the observer's relative motion. Mojo -- Morris Jones * Monrovia, CA http://www.whiteoaks.com Old Town Astronomers: http://www.otastro.org |
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David Johnson wrote:
This is a response to all who responded to my question. What clock is supposed to keep track of the time? For the purposes of the derivations of SR perfect idealised ones that have been synchronised and moved into position very slowly to avoid any unwanted relativistic effects. I've read that every kind of clock, atomic, pendulum, thermodynamic, balance wheel etc., reacts to different conditions differently and, in particular, that the atomic clock will slow down when subject to acceleration. Real clocks suffer all sorts of effects. GR shows that gravity alters their frequency too. And all these effects have to be compensated for in the GPS system. Amusingly though because electronic engineers have the same sorts of problems in accepting relativity that you do they provided a means to switch off the relativistic corrections "just in case". However, SR + GR predictions were found to be exactly right. This was not a surprise to the physicists and astronomers. You can derive the formulae for special relativity rather elegantly by requiring only that the laws of physics should be the same in all inertial frames and observing very carefully the passage of two metre rules past each other at constant speed v and the distinct events that occur as seen from the ends of the rods. Taking c = constant on the basis of Maxwell's equations. One of the classic SR books has this derivation in it. It only requires basic high school linear algebra. event 1 -----*_____ first contact rhs event 2 =====* last contact rhs event 3 *===== first contact lhs event 4 _____*----- last contact lhs NB events 2 + 3 would be at identical times if the moving rod was the same length and classical galilean physics applied and this is not ruled out. The answer should not depend on which rod you consider the moving one. Taken together this is sufficient to derive the formulae for SR. Regards, Martin Brown |
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This is a response to all who responded to a question I asked recently. I
was unable to respond immediately so I'm using a new post in order to make the response possible to find. Below are a couple of the responses to my quesiton and they reflect the essential point that most respondents made. What kind of clock is supposed to keep track of the time? I've read that every kind of clock, atomic, pendulum, thermodynamic, balance wheel etc., reacts to different conditions differently and, in particular, that the atomic clock will slow down when subject to acceleration. David Johnson wrote: How can the speed of light c be independent of the movement of the observer as the Special Relativity Theory claims it is when the concept and definition of speed is distance/time? If the distance factor changes then so must the speed product, by definition. How can it be otherwise and the use of the word "speed" make any real sense? Because time is also relative. Time slows down as speed increases. This has been proven by flying atomic clocks in opposite directions and then comparing the time differential. Paul Murphy ----- Michaelson and Morley found that puzzling as well when they tried to measure the speed of light in different directions and establish an absolute reference frame (the wind of the "aether"). It took Einstein to figure out that if the distance factor changes, then so does the time factor -- so c remains constant regardless of the observer's relative motion. Mojo -- Morris Jones * Monrovia, CA http://www.whiteoaks.com Old Town Astronomers: http://www.otastro.org |
#10
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Martin Brown wrote:
Real clocks suffer all sorts of effects. GR shows that gravity alters their frequency too. And all these effects have to be compensated for in the GPS system. Amusingly though because electronic engineers have the same sorts of problems in accepting relativity that you do they provided a means to switch off the relativistic corrections "just in case". However, SR + GR predictions were found to be exactly right. This was not a surprise to the physicists and astronomers. The on-board clocks do not need to be corrected for GPS to function properly. All one needs to know is how to compute GPS time from what is being broadcast by the satellite -- and to that extent, if the on-orbit clocks were wildly inaccurate, but in a known way, GPS would still work fine. It is merely for (great!) bureaucratic convenience that the apparent rate of the on-orbit clocks matches those on the ground. The only "real" relativitistic corrections in GPS pertain to the eccentricity of the orbits. I recall this is a receiver-applied fix from data broadcast by the satellite -- check the GPS signal specification for the nitty gritty. The corrections amount to some number of metres if I remember right. Not huge, but trivially observed. You can derive the formulae for special relativity rather elegantly by requiring only that the laws of physics should be the same in all inertial frames and observing very carefully the passage of two metre rules past each other at constant speed v and the distinct events that occur as seen from the ends of the rods. Taking c = constant on the basis of Maxwell's equations. One of the classic SR books has this derivation in it. It only requires basic high school linear algebra. You can do much better. From some some simple topological and spatial assumptions -- NOT including the constancy of 'c' in all reference frames -- one can derive the general form of the transformation. From this derivation a reference-frame independent "universal speed limit" pops out, and it is our observations of reality that connect this speed to the speed of light. See: http://groups.google.ca/groups?q=spe...t.com&r num=4 |
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