Experimental data in relativity

In summary, a 17 year old was able to find data on experiments that show empirical evidence of special relativity. He was able to find the Lorentz parameters β andγ and calculated how far the muon traveled in 700 microseconds.
  • #1
RK1992
89
0
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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  • #3
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
 
  • #4
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?
 

Related to Experimental data in relativity

1. What is experimental data in relativity?

Experimental data in relativity refers to the collection of measurements and observations gathered through experiments that test the principles and predictions of Einstein's theory of relativity. This includes experiments such as the Michelson-Morley experiment, which provided evidence for the constancy of the speed of light, and the Hafele-Keating experiment, which demonstrated the effects of time dilation.

2. How is experimental data used in relativity?

Experimental data is used in relativity to validate and refine the theories and equations proposed by Einstein. By comparing the results of experiments to the predictions of relativity, scientists can confirm the accuracy of the theory and make adjustments or modifications as needed.

3. What types of experiments are conducted to gather data in relativity?

Experiments in relativity often involve measurements of time, space, and the behavior of objects in extreme conditions. Examples include the measurement of gravitational time dilation, the testing of the equivalence principle, and the study of black holes and their effects on surrounding matter.

4. How is experimental data analyzed in relativity?

Experimental data in relativity is analyzed using mathematical models and equations derived from the theory. Scientists use statistical analysis and other methods to compare the data to the predictions of relativity and determine the level of agreement. Any discrepancies can then be further investigated to potentially refine the theory.

5. What impact does experimental data have on our understanding of relativity?

Experimental data plays a crucial role in our understanding of relativity. It provides evidence for the validity of the theory and helps to refine and expand upon it. Without experimental data, we would not have a way to test and validate the predictions of relativity, and our understanding of the fundamental principles of the universe would be limited.

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