What quantum principle limits the simultaneous precision of the position and momentum of a particle?

Fact

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Heisenberg's uncertainty principle imposes a fundamental limit on the precision with which certain pairs of quantities can be defined simultaneously. For the position and the momentum, the product of their uncertainties cannot fall below a value linked to Planck's constant. This relationship does not come only from imperfect instruments or from an accidental disturbance of the particle; it belongs to the very structure of quantum mechanics. Speed is related to momentum in simple situations, but the canonical and general formulation does relate to position and momentum.