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In "Welcome to relativity 104: special relativity in-depth", the Lorentz transformation is discussed as a method to change reference frames according to special relativity rules. This transformation leads to time dilation, length contraction, new rules for velocity addition, and the relativity of simultaneity. The Minkowski metric tensor and space-time invariant are explained for measuring distances. Relativistic dynamics is also covered, discussing forces, energy, momentum behavior, and E = mc^2. The video visually explains the geometry of the Lorentz transformation without equations, with the actual equations promised in the next video. The laws of motion in inertial frames are compared to Galilean relativity.