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Wave-particle duality is a fundamental concept in quantum mechanics that describes the dual nature of particles, such as electrons and photons. It suggests that these particles can exhibit both wave-like and particle-like behavior, depending on the experimental setup and the type of measurement being performed.

Traditionally, particles were thought to possess only particle-like properties, such as having a definite position and momentum. On the other hand, waves were thought to exhibit wave-like properties, such as interference and diffraction, but not particle-like characteristics. However, experiments conducted in the early 20th century, such as the double-slit experiment, demonstrated that particles could display interference patterns similar to waves, indicating their wave-like nature.

According to wave-particle duality, particles can be described by wave functions, which are mathematical entities that evolve over time and encode the probabilities of finding particles in different states or locations. When a measurement is made, the wave function collapses to a particular state, and the particle behaves more like a classical particle with definite properties.

It is important to note that wave-particle duality does not imply that particles are simultaneously waves and particles in a classical sense. Rather, it reflects the dual nature of particles, where their behavior can exhibit characteristics of both waves and particles under different circumstances.

As for the acceptance of wave-particle duality among physicists, it is widely accepted and forms the foundation of quantum mechanics. Wave-particle duality has been experimentally verified through numerous experiments, and the mathematical formalism of quantum mechanics, which incorporates wave functions, has been remarkably successful in predicting and explaining a wide range of phenomena.

While there may be ongoing debates and discussions about the interpretation and deeper understanding of wave-particle duality, it is a concept that is widely accepted and forms a fundamental aspect of modern physics. It provides a framework for understanding the behavior of particles at the quantum level and has been confirmed by experimental evidence time and again.

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