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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.

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Muon Lifetime and time dilation effect

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  1. 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

  2. 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

  3. 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

  4. Correcting for Energy Loss .

  5. The Muon Energy Spectrum

  6. The predictions • = • =

  7. The Equipment used Scintillator is placed at the bottom of a black anodized aluminum alloy tube Plastic Scintillator made of Organic Transparent Material

  8. How the data looks

  9. 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

  10. Fermi Coupling Constant • Accepted value: • Pueblo value : • Monarch value : Mass of the Muon = Reduced Planck’s Constant =

  11. Stopping rates Pueblo’s Stopping Rate = Monarch’s Stopping Rate =

  12. 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

  13. Muon energy spectrum correctionand predictions

  14. 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.

  15. 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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