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Muon Lifetime and time dilation effect. Measuring the stopping rate of muons, as a function of depth in the atmosphere to demonstrate the time dilation effect of special relativity. Melinda Jolley.

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muon lifetime and time dilation effect

Muon Lifetime and time dilation effect

Measuring the stopping rate of muons, as a function of depth in the atmosphere to demonstrate the time dilation effect of special relativity.

Melinda Jolley

slide2
The muon was so unexpected that, regarding its discovery, Nobel laureate Isidor Isaac Rabi famously quipped, “Who ordered that?”

Where do muons come from?

Muons were originally thought to be meson

The Muon

Not completely sure

Somewhere in deep space?

Very recent NASA research

It’s name is a combination of mu and meson

Femi Coupling Constant (

Nope, it is a Lepton

Nicknamed ‘The Heavy Electron’

𝜇± →e± +2 ν

the goals of my experiment
The goals of my experiment

Determine the Measured Lifetime of the Muon

The Fermi Coupling Constant

Is there no Time Dilation?

Muon Physics

Moun.exe

Accepted τ = 2.20 µs

Use the measured τ

Rates of Muon decays at one elevation

Approximation for rate at second elevation

Correction factors for Energy Loss over distance and Variations in the shape of the muon energy spectrum

the equipment used
The Equipment used

Scintillator is placed at the bottom of a black anodized aluminum alloy tube

Plastic Scintillator made of Organic Transparent Material

my data
My data
  • High Voltage set to -1154 Volts
  • Threshold Voltage set to 206 MeV
  • First location: Pueblo, CO, Elevation 1420 m
  • Second location: Monarch Mountain Base Summit, CO, Elevation 3290 m
  • ΔH= 1870 m
  • Much more Pueblo Data than Monarch Data
fermi coupling constant
Fermi Coupling Constant
  • Accepted value:
  • Pueblo value :
  • Monarch value :

Mass of the Muon =

Reduced Planck’s Constant =

stopping rates
Stopping rates

Pueblo’s Stopping Rate =

Monarch’s Stopping Rate =

rates accounting for energy loss
Rates accounting for energy loss
  • t=6.28 µsec or
  • .
  • , ,

Remember t is the transit time assuming no Time Dilation

t’ assumes Time Dilation Effects

slide14

great inconsistency of the measured answer with the hypothesis that there is no relativistic time dilation effects on the muon

The data was consistent with the Relativistic Time Dilation Hypothesis.

if we knew what it was we were doing it would not be called research would it
If we knew what it was we were doing, it would not be called research, would it

Einstein

Thanks to:Dr. BrownDr. WallinMy family

Special thanks to Annika, Thomas, and Olivia

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