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Bill Hobba wrote: > > EjP wrote: > > When you realize that relativity is ultimately about observation, > > the 4,5,7, and 8 are more or less equivalent (with some qualification). > > Although 2 and 3 sound contradictory, it depends on your definition > > of "real" (believe it or not, "real" is not a well-defined term, > > scientifically). Some people would consider a "real" length > > contraction to be something involving some sort of physical > > compression, understandable in terms of the bulk modulus, and > > by that definition, the length contraction is > > not "real". On the other hand if "real" means that I could > > devise an experiment to measure the length contraction of > > something that is moving in my frame, the it is *real*, but > > now "real" is entirely consistent > > with 4,5,7, and 8. I believe this distinction is what Eddington > > was alluding to in comment 1. > > For those that doubt length contraction simply analyze a current carrying > wire. If length contraction occurs then magnetic forces appear - exactly > as found from experiment - if length contrition does not occur then magnetic > forces do not appear - in disagreement with experiment. > > Thanks > Bill This is not a good example. If you do the math you'll find that length contraction cancels out of the equation, leaving the force as due to only the relative velocity and proximity of the respective lines of charge. Thus your example is actually a counter-argument to the 'reality' of length contraction, i.e. length contraction is unnecessary and has nothing to do with the measured force. As an analogy let's suppose that instead of length contraction we substitute line density increase via spontaneous creation of extra electrons. Now it should be obvious that this will provide exactly the same outcome, since the relativistic length contraction hypothesis provides just this same line density increase. Now let's suppose that instead of either of these we postulate that the lines of charge simply 'appear' closer to each other from their respective points of view when they are in relative motion. Again we get the same result. In short, any ad hoc presumption that will increase the force as a function of relative velocity will work equally as well as any other that does the same, each will provide correctly for the observed force. Thus I trust you'll see that the development of this force is no proof or even the slightest indication that length contraction is real. Now look at http://www.cswnet.com/~rper and you'll find a mathematical treatment of this force that makes no assumptions at all about the 'cause' of the force, it simply quantifies it directly as a function of relative velocity (in a sense this reduces to the actual cause), and thus by virtue of Ockham's Razor, it is a much superior approach, eliminating as it does all of the excess baggage that you brought along above. Richard Perry
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