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Arithmetical surprises from the quantum universe.

The classical notion of trajectory in physics has its foundation in common sense: the position and the velocity of an object can be predicted by computations and measured at a given time. As opposed to the classical universe, the behaviour of elementary particles is elusive. Only the probabilities of physical events can be predicted. These probabilities are sums of all possible trajectories of the quantum system from the initial to the final state.

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