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Wave-particle duality is not an illusion, but rather a fundamental aspect of quantum mechanics that describes the behavior of particles at the microscopic level. It is a concept supported by extensive experimental evidence and mathematical formalism.

Wave-particle duality refers to the observation that particles, such as electrons and photons, can exhibit both wave-like and particle-like properties under certain experimental conditions. For example, in the double-slit experiment, particles can display interference patterns typically associated with waves, indicating their wave-like behavior. Conversely, in other experiments like the photoelectric effect, particles exhibit discrete energy transfer, characteristic of particle-like behavior.

The concept of wave-particle duality arises due to the mathematical formalism of quantum mechanics, which describes particles using wave functions. The wave function encapsulates the probabilistic nature of quantum systems, representing the possibilities of different outcomes when measuring observables.

While wave-particle duality may seem counterintuitive or contradictory to our classical understanding of physics, it is a well-established principle that has been extensively tested and confirmed through numerous experiments. It forms the foundation of modern quantum mechanics and has wide-ranging applications in various fields, including quantum physics, solid-state physics, and quantum information science.

It is important to note that wave-particle duality is a conceptual framework or a mathematical model used to describe and predict the behavior of quantum systems, rather than a complete description of the underlying reality. It represents our best understanding of the quantum world based on experimental evidence and mathematical formalism.

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