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The Special Principle of Relativity
The Lorentz Transformation
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3-force 3-momentum 4-acceleration 4-tensor 4-vector 4-velocity acceleration angle arbitrary argument assume atom classical mechanics classical theory collision components consequently conservation Consider constant coordinates corresponding Deduce defined denote density differentiation direction disc distance Doppler Einstein's electron emitted equivalent ether example finite fixed fluid force frequency Galilean transformation given Hint hyperbolic motion inertial frame inertial mass inertial observer instantaneous rest-frame invariant kinetic energy length-contraction linear Lorentz factor Lorentz transformation mass-centre mass-energy equivalence Maxwell's Maxwell's equations momentum motion Newtonian obtain orbit particle moves perpendicular photons physical plane primed symbols proper acceleration proper mass Prove relation relativity of simultaneity relativity principle respectively rest-frame rest-mass result of exercise scalar simultaneity space space-time spatial special relativity speed of light standard clock standard configuration suffixes symmetry time-dilation time-separation tion transformation equations transformation group vector wave wavelength whence world-line x-axis zero