Muon Experiment

Non-Relativistic

Non-relativisticRelativistic, Earth observerRelativistic, muon observer
ComparisonComments on comparisonVary parameters

Numerical example from laboratory setting
What is a muon?
Some history
Index

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Muon Experiment

Relativistic, Earth-Frame Observer

Non-relativisticRelativistic, Earth observerRelativistic, muon observer
ComparisonComments on comparisonVary parameters
Index

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Muon Experiment

Relativistic, Muon-Frame Observer

Non-relativisticRelativistic, Earth observerRelativistic, muon observer

ComparisonComments on comparisonVary parameters
Index

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Muon Experiment

Comparison of Reference Frames

Non-relativisticRelativistic, Earth observerRelativistic, muon observer

ComparisonComments on comparisonVary parameters
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Muon Experiment

Comparison of Reference Frames

In the muon experiment, the relativistic approachyields agreement with experiment and is greatly different from the non-relativistic result. Note thatthe muon and ground frames do not agree on the distance and time, but theyagree on the final result.One observer sees timedilation, the other seeslength contraction, but neither sees both.

These calculated results are consistent with historical experiments.

Non-relativisticRelativistic, Earth observerRelativistic, muon observer

ComparisonComments on comparisonVary parameters
Index

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Muon Experiment

Vary Parameters

The calculation will be considered from the Earth frame of reference. The length is then unaffected since it is in the Earth frame. The halflife is in the muon frame, so must be considered to be time dilated in the Earth frame. You may substitute values for the height and the muon speed in the calculation below.

Length L0 = x 10^ meters.

If the muon speed is v = c

then the relativity factor is γ =

The time-dilated halflife is x 10^ seconds.

The time to reach the Earth is t = L0/v = x 10^ seconds.

This is halflives,

leaving a population of out of a million.

Non-relativisticRelativistic, Earth observerRelativistic, muon observer

ComparisonComments on comparisonVary parameters
Index

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