Authors: Eric Su
The charged particle beam in accelerator such as LHC at CERN is subject to Lorentz force until beam collision or extraction. The magnetic force in the transverse direction keeps the beam in a curved path. The gravitational force in the downward direction puts the particle of the beam into projectile motion. Conservation of momentum is expected in the longitudinal direction for all forces are in the transverse direction. However, a rigorous examination proves the discrepancy. The representation of energy and momentum can not uphold the law of conservation of momentum.
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[v1] 2020-03-22 17:43:06
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