Fitzgerald contraction for a proton in the Large Hadron Collider

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Loren Booda
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By what factor would the radius parallel to the direction of travel contract for a 7 TeV proton, relative to an antiparallel 7 TeV proton, in the Large Hadron Collider?
 
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Outline of the calculation:
- calculate v from 7 TeV
- add v and -v (using the relativistic additon of velocities)
- calculate the Lorentz contraction