The discussion revolves around the time dilation of muons in the context of a linear accelerator experiment. Participants explore how different inertial frames perceive the number of muons detected at the end of the accelerator, questioning the implications of special relativity on these observations.
Participants express disagreement regarding how many muons are detected in different frames and the implications of time dilation. There is no consensus on whether different observers can measure different numbers of muons reaching the end of the accelerator.
Participants highlight the need to consider multiple relativistic effects, such as simultaneity and length contraction, when discussing the observations of muons in different frames. The discussion remains unresolved regarding the calculations and interpretations of these effects.
DaleSpam said:Actually, it is the approaching speed which is important.
Since you are assuming what have happened so far, can I safely assume that you did not read the previous discussions.Samshorn said:I assume you've been told many times that that's completely false,
I agree, that Fitzgerald introduced/coined the term Length contraction to explain the results of MMX. But again, we are not discussing when was it first proposed.Samshorn said:...Historically, length contraction was introduced by Fitzgerald and Lorentz in order to account for the results of the Michelson-Morley experiment, long before anyone ever dreamed of muons or even special relativity.
MMX was about the light and its properties, whereas, Time Dilation of Muons has nothing to do with Light and it's properties because if it does, there are contradictions of Logic. Again for the later part you need to read the previous posts.Samshorn said:And of course the MM experiment along with all other failed attempts to measure absolute velocity and all the experimental demonstrations of the invariance of light speed, and indeed the Lorentz invariance of all physical phenomena in terms of standard inertial coordinates, collectively are irrefutable experimental evidence of both length contraction and time dilation.
Samshorn said:Also, length contraction emerges from Lorentz's theorem of corresponding states based on the already-known laws of electrodynamics, and of course Lorentz always stressed the physical reality of (and necessity of) this contraction for active transformations.
Samshorn said:You need to distinguish between intrinsic and extrinsic state variables, and between passive and active transformations.