The naive Ampère's law arises from that latter example of these, though the addition of the displacement current makes it invariant under the former example, which can be understood as hyperbolic rotations of Minkowski space.
These are generally actions of a space's symmetry group; one prominent example of them is the action of the Poincaré group, while another is the action of the first-order approximation to that group in the speed parameter. The naive Ampère's law arises from that latter example of these, though the addition of the displacement current makes it invariant under the former example, which can be understood as hyperbolic rotations of Minkowski space. One of these that maps x to x plus v t governs classical physics and is named for Galileo, though a more famous one that predicts time dilation, mass increase, and length contraction is named for Lorentz. For 10 points, name linear functions used in physics to change reference frames.
These are generally actions of a space's symmetry group; one prominent example of them is the action of the Poincaré group, while another is the action of the first-order approximation to that group in the speed parameter.
{transformation}s [accept Lorenz {transformation}s or Galilean {transformation}s or gauge {transformation}s]