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On Aug 26, 6:08 pm, mluttgens wrote in sci.physics.relativity:
The cosmic muons paradox _______________________ In special relativity, the time dilation effect is reciprocal: as observed from the point of view of either of two clocks which are in motion with respect to each other, it will be the other clock that is time dilated. (cf. http://en.wikipedia.org/wiki/Time_dilation) From http://www.mth.uct.ac.za/omei/gr/chap1/node9.html: "A very interesting example of the slowing down of time is that of the cosmic ray muons . These are particles that disintegrate spontaneously after an average lifetime of about 2.2 microseconds. It is clear that in its short lifetime a muon cannot, even at the speed of light, travel more than 600 m. But although the muons are created at the top of the atmosphere, some 10 km up, we can detect them down here on earth. How can that be!!? From the muon's point of view (i.e.from their frame of reference) they only live about 2 microseconds. However from our point of view they live considerably longer, indeed long enough to reach the surface of the earth (by a factor f = 1/sqrt(1-v^2/c^2)." According to SR, the lifetime of the muons moving at v relative to the Earth's surface is dilated by f according to the Earth observer. Experimentally, this is a real effect. It isn't. Einsteiniana's most pernicious hoax is undoubtedly the muon hoax. It is based on measuring the lifetime of muons "at rest". When cosmic-ray muons bump into an obstacle so that their speed instantly changes from about 300000km/s to zero, their forced and quick disintegration makes Einsteinians sing "Divine Einstein" and go into convulsions. Why? Simply because in the era of Postscientism human rationality is so devastated that, while the muon undergoes such a terrible crash, Einsteinians safely declare that in fact this muon is "at rest" and, being "at rest", disintegrates more quickly than another muon which is not "at rest", in perfect accordance with Divine Albert's Divine Theory: http://websci.smith.edu/~pdecowsk/muons.html "The purpose of this experiment is to measure life time of muons decaying at rest. Muons, produced in the atmoshere bombarded by high energy cosmic radiation, are passing through the system of two detectors located one above the other one. A coincidence of signals from these two detectors (signals occuring in both detectors within 100ns) marks a particle entering the muon telescope from above and serves as a filter rejecting many noninteresting signals from background radiation. Some particles, with appropriate energies, will end their flight in the lower detector (proper amount of lead between both detectors ensures that many of them will be muons). If a stopped particle is muon, it will decay after some time producing electron. The time interval between signals from the muon entering the lower detector and the electron emerging after its decay is converted by a time-to-amplitude converter into amplitude of signal fed to the CAMAC analog-to-digital converter (ADC) controlled by the computer. The spectrum of time intervals is displayed in the figure below. The expected distribution should be exponential with the exponential time constant being the average life time of muon. The full range of the spectrum (about channel 2000) corresponds to the time interval of about 25 microsecond. There are not many muons with such energies that they will end their path exactly in the lower detector (usually they will pass both detectors and will be stopped in somewhere in the ground), so counting rate is rather low. To collect a reasonable number of events, the experiment has to be run a number of days." Pentcho Valev |
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