Re: Muon paradox

W dniu 01.04.2025 o 19:56, Paul.B.Andersen pisze:

Den 31.03.2025 22:40, skrev LaurenceClarkCrossen:

Do muons move at a different velocity in the laboratory than in the
atmosphere?
>
"No, muons generally do not move at a different velocity in a laboratory
setting compared to their velocity in the atmosphere; they both travel
at speeds very close to the speed of light, typically around 99.8% of
the speed of light" - Google search AI.
>
Then why would they "time dilate" in the atmosphere?

 The speed of muons is v = ~ 0.999668⋅c through the atmosphere
which also is within the laboratory with open roof.
γ = 38.8.
 The mean proper lifetime of a muon is t₀ = 2.2 μs.

Or, at least, some idiots are asserting that.

 Since muons are created at a height ~15 km, and the time for
a muon to reach the earth is t = 15e3/v = 5.005 s,
then the part of the muon flux that will reach the Earth is
  N/N₀ = exp(-t/tₑ) = 0.556, so 55.6% of the muons would reach the Earth.
 If the lifetime of the muons had been 2.2 μs, then the part of
the muon flux that will reach the Earth would be:

See, trash - you're admitting yourself:
lifetime of a muon can't be 2.2 μs.