Experimental data in relativity

RK1992
Messages
87
Reaction score
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 :)
 
Physics news on Phys.org
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?
 
In Philippe G. Ciarlet's book 'An introduction to differential geometry', He gives the integrability conditions of the differential equations like this: $$ \partial_{i} F_{lj}=L^p_{ij} F_{lp},\,\,\,F_{ij}(x_0)=F^0_{ij}. $$ The integrability conditions for the existence of a global solution ##F_{lj}## is: $$ R^i_{jkl}\equiv\partial_k L^i_{jl}-\partial_l L^i_{jk}+L^h_{jl} L^i_{hk}-L^h_{jk} L^i_{hl}=0 $$ Then from the equation: $$\nabla_b e_a= \Gamma^c_{ab} e_c$$ Using cartesian basis ## e_I...
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. The Relativator was sold by (as printed) Atomic Laboratories, Inc. 3086 Claremont Ave, Berkeley 5, California , which seems to be a division of Cenco Instruments (Central Scientific Company)... Source: https://www.physicsforums.com/insights/relativator-circular-slide-rule-simulated-with-desmos/ by @robphy
Abstract The gravitational-wave signal GW250114 was observed by the two LIGO detectors with a network matched-filter signal-to-noise ratio of 80. The signal was emitted by the coalescence of two black holes with near-equal masses ## m_1=33.6_{-0.8}^{+1.2} M_{⊙} ## and ## m_2=32.2_{-1. 3}^{+0.8} M_{⊙}##, and small spins ##\chi_{1,2}\leq 0.26 ## (90% credibility) and negligible eccentricity ##e⁢\leq 0.03.## Postmerger data excluding the peak region are consistent with the dominant quadrupolar...
Back
Top