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Deriving the LT from experimental laws ONLY
On 26 Aug, 17:46, Tom Roberts wrote in
sci.physics.relativity: Peter Christensen wrote: We start with, what we know from experiments: [...] [and some definitions:] E = gamma(v)*m*c^2 p = gamma(v)*m*v where gamma(v) = 1/sqrt(1-(v/c)^2) Most would say your definitions here include SR, so what's the point? Certainly that is not the way Newtonian mechanics defines these quantities. But the Lorentz transforms of SR can indeed be obtained to high accuracy from experiments. The basic approach is to write down the most general possible coordinate transforms, and to then use experimental measurements to put constraints on the transforms. Three experiments, Michelson-Morley, Kennedy-Thorndike, and Ives-Stilwell, are sufficient to constrain all parameters of such transforms to better than 1 part per million. See: Zhang, _Special_Relativity_and_its_Experimental_Foundatio ns_. Tom Roberts Roberts Roberts now you should demonstrate the power of your logic. According to an Einsteinian much cleverer than you, the Michelson- Morley experiment alone confirms Newtonian mechanics, not special relativity: http://philsci-archive.pitt.edu/arch.../02/Norton.pdf John Norton: "Einstein regarded the Michelson-Morley experiment as evidence for the principle of relativity, whereas later writers almost universally use it as support for the light postulate of special relativity......THE MICHELSON-MORLEY EXPERIMENT IS FULLY COMPATIBLE WITH AN EMISSION THEORY OF LIGHT THAT CONTRADICTS THE LIGHT POSTULATE." You should only show how Kennedy-Thorndike and Ives-Stilwell reverse the situation - given their conclusions the Michelson-Morley experiment should become incompatible with the emission theory and compatible with Einstein's light postulate. Roberts Roberts can you do this immediately or do you need a long thinking period? Pentcho Valev |
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