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Coupling the notion that during the search for the minimum of a function we must pass through its solution with a PSO solution generator engine, is the approach for solving, in time domain, a non-linear algebric-differential system of equations.
Worldlines visualizes special relativity, as particles near lightspeed trace paths in a 3D slice of 4D Minkowski spacetime. Scenes illustrate time dilation, the twin paradox, length contraction, and Bell's spaceship paradox.