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Complementarity is a fundamental concept in quantum mechanics that arises from the wave-particle duality of quantum objects. It was first introduced by Niels Bohr, one of the pioneers of quantum theory.

Complementarity refers to the idea that certain properties of quantum systems cannot be simultaneously observed or measured with arbitrary precision. In classical physics, we often assume that we can measure multiple properties of an object simultaneously and precisely. However, in the quantum realm, this is not the case due to the wave-like nature of quantum particles.

The most famous example illustrating complementarity is the double-slit experiment. In this experiment, particles such as electrons or photons are fired at a barrier with two slits, creating an interference pattern on a screen behind the barrier. When observing which slit the particle passes through, the interference pattern disappears, and the particles behave like individual particles passing through one of the slits. When the observation is removed, the interference pattern reappears.

This experiment demonstrates the wave-particle duality of quantum objects and the complementary nature of their behavior. The particle-like behavior (passing through one slit) and the wave-like behavior (creating an interference pattern) cannot be simultaneously observed or measured. The act of measurement or observation disturbs the system and forces it to behave in a particular way, collapsing it into a specific state.

Complementarity extends beyond the double-slit experiment and applies to other pairs of complementary properties, such as position and momentum, energy and time, or spin in different directions. It implies that certain pairs of properties are inherently mutually exclusive and cannot be known simultaneously with arbitrary precision.

Complementarity is a fundamental aspect of quantum mechanics and challenges our classical intuition about the behavior of physical systems. It emphasizes the need for a probabilistic interpretation of quantum phenomena and highlights the limitations of our ability to precisely measure and describe quantum systems.

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