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Theory
The emergence of the muons is caused by the collision of cosmic rays with the upper atmosphere, after which the muons reach Earth. The probability that muons can reach the Earth depends on their half-life, which itself is modified by the relativistic corrections of two quantities: a) the mean lifetime of muons and b) the length between the upper and lower atmosphere (at Earth's surface).This allows for a direct application of length contraction upon the atmosphere at rest in inertial frame S, and time dilation upon the muons at rest in S′.[1][2] Time dilation and length contraction Length of the atmosphere: The contraction formula is given by [displaystyle L=L_[0]/gamma ] L=L_[0]/gamma, where L0 is the proper length of the atmosphere and L its contracted length. As the atmosphere is at rest in S, we have γ=1 and its proper Length L0 is measured. As it is in motion in S′, we have γ>1 and its contracted length L′ is measured. Decay time of muons: The time dilation formula is [displaystyle T=gamma T_[0]] [displaystyle T=gamma T_[0]], where T0 is the proper time of a clock comoving with the muon, corresponding with the mean decay time of the muon in its proper frame. As the muon is at rest in S′, we have γ=1 and its proper time T′0 is measured. As it is moving in S, we have γ>1, therefore its proper time is shorter with respect to time T. (For comparison's sake, another muon at rest on Earth can be considered, called muon-S. Therefore, its decay time in S is shorter than that of muon-S′, while it is longer in S′.) In S, muon-S′ has a longer decay time than muon-S.
Therefore, muon-S' has sufficient time to pass the proper length of the atmosphere in order to reach Earth. In S′, muon-S has a longer decay time than muon-S′. But this is no problem, since the atmosphere is contracted with respect to its proper length. Therefore, even the faster decay time of muon-S′ suffices in order to be passed by the moving atmosphere and to be reached by Earth.
I don't know if this will answer your question, but the half life of the muon is so short that it should be impossible to detect those entering the atmosphere, at the surface of the Earth, if the relativity deniers were correct. That's why this video is called "Impossible Muons", but of course many observations seem to validate relativity including muon observations, so it's only because of relativistic effects that they can be detected. The relativistic effects differ depending on whether you are an observer on earth's surface, or whether you look at things from the perspective of the muon, as explained in the video. Lorentz transformations allow us to re-calculate relativistic effects in different reference frames, so from that perspective they are not really different in the overall picture of things, just two different observer's perceptions of the same event.
originally posted by: Phantom423
I don't understand why the half life of the muon is a factor. As the muon decays, I assume that other particles are formed but some muons will remain in tact and reach the Earth.
It is interesting that NIST now has such accurate clocks, they can lower a clock half a meter and tell it runs slower at the lower elevation.
originally posted by: Phantom423
Time is an independent variable. The reaction time is dependent on the neutron (I think). If we were observing the same reaction in a distant galaxy, it would appear to be slower due to time dilation.
If time played a part in the reaction (faster/slower), then you would have to be able to control time which, to my knowledge, is not possible.
I don't understand why the half life of the muon is a factor. As the muon decays, I assume that other particles are formed but some muons will remain in tact and reach the Earth. The muons that reach the Earth are the only ones that count in this experiment (I think). Need a few good links to understand how this works. Thanks
The muon is an elementary particle similar to the electron, with an electric charge of −1 e and a spin of 1/2, but with a much greater mass. It is classified as a lepton. As is the case with other leptons, the muon is not believed to have any sub-structure—that is, it is not thought to be composed of any simpler particles.
Muons were discovered by Carl D. Anderson and Seth Neddermeyer at Caltech in 1936, while studying cosmic radiation. Anderson noticed particles that curved differently from electrons and other known particles when passed through a magnetic field. They were negatively charged but curved less sharply than electrons, but more sharply than protons, for particles of the same velocity. It was assumed that the magnitude of their negative electric charge was equal to that of the electron, and so to account for the difference in curvature, it was supposed that their mass was greater than an electron but smaller than a proton. Thus Anderson initially called the new particle a mesotron, adopting the prefix meso- from the Greek word for "mid-". The existence of the muon was confirmed in 1937 by J. C. Street and E. C. Stevenson's cloud chamber experiment.
the muon is so short that it should be impossible to detect those entering the atmosphere, at the surface of the Earth, if the relativity deniers were correct.
One key difference is that the Lorentz interpretation allows for instantaneous collapse of spatially finite wave functions, something relativity forbids.
A thought experiment is considered on observation of instantaneous collapse of an extended wave packet. According to relativity of simultaneity, such a collapse being instantaneous in some reference frame must be a lasting process in other frames. But according to quantum mechanics, collapse is instantaneous in any frame. Mathematical structure of quantum mechanics eliminates any contradictions between these two apparently conflicting statements. Here the invariance of quantum-mechanical collapse is shown to follow directly from the Born postulate, without any use of mathematical properties of quantum operators. The consistency of quantum mechanics with Relativity is also shown for instant disentanglement of a composite system.
Fortunately for QM, the electron's initial "omnipresence", albeit a real physical characteristic, is more subtle than directly measurable observables. The probability is not steam – its fluctuations are not immediately detectable unless it jumps to 1 at some location. This allows the collapse to be instantaneous in all frames and yet be consistent with SR
I can't make sense out of this "time imparts" part of your question. As Phantom said time in a typical example in a given reference frame is an independent variable.
originally posted by: Hyperboles
Describing any one design for the 2 devices would suffice, in knowing what mechanism time imparts in starting of the 2 processes
a reply to: Arbitrageur
originally posted by: Hyperboles
Lol, its time to build an LHC in the far east, china or phillipines come to mind
originally posted by: Hyperboles
speed of compression = impact loading = gravity++ of core = time compression , wouldn't it?
I think at fermilab they were doing electron positron also at LHC they were doing both
a reply to: Arbitrageur
The CEPC will produce Higgs bosons by smashing together electrons and their antimatter counterparts, positrons. Because these are fundamental particles, their collisions are cleaner and easier to decipher than the LHC’s proton–proton collisions, so once the Chinese facility opens, in about 2030, it will allow physicists to study the mysterious particle and its decay in exquisite detail.