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Space Time and Maxwells Equations
Vectors in SpaceTime
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4-gradient 4-potential 4-vector 4-vector with components 4-velocity angle called collisions conservation of 4-momentum Consider constant contraction coordinate system xa covariant tensor covector defined direction displacement vector electromagnetic field energy density energy-momentum tensor ether Euclidean space Examples and Exercises fluid follows free particle frequency 4-vector given Hence Hint inertial coordinate system inertial frame inertial mass inertial observer infinitesimal isometry inhomogeneous Lorentz transformation instantaneous rest frame invariant isometry Killing vector Laixi light-cone Lorentz rotation magnetic field matrix Maxwell's equations measured Michelson-Morley experiment Minkowski space momentum moving Newtonian nonzero null lines O's worldline observer with 4-velocity origin orthochronous orthogonal particle of rest particle's photon Physics plane wave propagation proper relativistic rest mass rest relative scalar Show simultaneous solution space-time spacelike spatial special relativity speed standard Lorentz transformation tensor field tensor of type test charge total energy unit vector vector field velocity of light volume worldline