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The Special Principle of Relativity
The Lorentz Transformation
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3-force 3-momentum 4-tensor 4-vector 4-velocity acceleration angle arbitrary assume classical mechanics classical theory collision components consequently conservation Consider constant contravariant coordinate transformations corresponding covariant D.Sc Deduce defined denote density differentials direction distance Doppler Einstein's electromagnetic field electron emitted energy tensor equal equivalent ether example expression finite fixed fluid force formula frequency Galilean transformation given Hint implies inertial frame inertial mass instantaneous rest-frame invariant length-contraction light linear Lorentz factor Lorentz transformation mass-energy equivalence Maxwell's equations momentum motion moving charge Newtonian obtain orbit perpendicular photons physical plane primed symbols principle of relativity proper mass Prove quotient rule reference relation relativistic relativity of simultaneity relativity principle respectively rest-frame rest-mass result of exercise scalar simultaneity space spatial special relativity speed standard configuration suffixes symmetry time-dilation tion transformation equations transformation group vector wave wavelength whence x-axis zero