Experimental data in relativity

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Discussion Overview

The discussion centers on the search for experimental data supporting special relativity, particularly focusing on empirical evidence such as muon behavior, the Michelson-Morley experiment, and data related to CERN and GPS systems. The scope includes both theoretical and experimental aspects of special relativity.

Discussion Character

  • Exploratory, Technical explanation, Experimental/applied

Main Points Raised

  • A participant seeks sources for experimental data related to special relativity, specifically mentioning muons, the Michelson-Morley experiment, and GPS clock readings.
  • One participant provides a link to a resource that lists experiments related to special relativity.
  • Another participant discusses a specific experiment at Brookhaven National Laboratory involving muons with a Lorentz factor of 29.3, detailing their measured lifetime and suggesting a calculation for the distance traveled by the muons.
  • The same participant repeats the details of the Brookhaven experiment, including the formula for time-dilated decay length and presents a calculation for the distance covered by the muons, arriving at approximately 210 km.

Areas of Agreement / Disagreement

The discussion does not appear to reach a consensus, as it includes a mix of requests for information, shared resources, and calculations without definitive agreement on the interpretations or implications of the data.

Contextual Notes

Some calculations and assumptions are presented, such as the Lorentz factor and the formula for decay length, but the discussion does not resolve the accuracy of the calculations or the implications of the results.

Who May Find This Useful

Students and enthusiasts interested in experimental physics, special relativity, and data analysis related to empirical evidence in physics.

RK1992
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hi, I am doing a project on special relativity (im 17, doing A level maths, further maths and physics)

for this project, I need to analyse some data.

can anyone tell me where on Earth you can find data from experiments which give empirical evidence of special relativity, like muons arriving at the surface of earth, or data from michaelson-morley experiments being run and information on the strength of the magnets at CERN and the clock readings from GPS systems

where on Earth does a 17 year old get this stuff from?

thanks in advance :)
 
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Here is another time dilation - particle lifetime measurement. Brookhaven National laboratory stored muons with a Lorentz γ = 29.3 in a ring of magnets (storage ring) for up to 700 microseconds. See

http://www.g-2.bnl.gov/publications/prl1999.pdf

The measured lifetime was 64. 4 microseconds, compared to 2.2 microseconds for the muon at rest. See Fig.3. Calculate how far the muon traveled in 700 microseconds.

Useful formula. The time-dilated decay length (the 1/e decay length) is L' = βγcτ, where
τ is lifetime in the center of mass
c= speed of light
βγ are the Lorentz parameters.

Bob S
 
Bob S said:
Here is another time dilation - particle lifetime measurement. Brookhaven National laboratory stored muons with a Lorentz γ = 29.3 in a ring of magnets (storage ring) for up to 700 microseconds. See

http://www.g-2.bnl.gov/publications/prl1999.pdf

The measured lifetime was 64. 4 microseconds, compared to 2.2 microseconds for the muon at rest. See Fig.3. Calculate how far the muon traveled in 700 microseconds.

Useful formula. The time-dilated decay length (the 1/e decay length) is L' = βγcτ, where
τ is lifetime in the center of mass
c= speed of light
βγ are the Lorentz parameters.

Bob S
i got β=0.999416325
so then the distance covered is just x=vt so 0.999416325 x 3.0e8 x 700e-6
=209877m so roughly 210km is that right?
 

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