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The dual nature of a photon refers to its ability to exhibit both particle-like and wave-like characteristics. This concept arises from the field of quantum mechanics, which describes the behavior of particles at the atomic and subatomic level.

On one hand, a photon can behave as a particle. As a particle, it carries discrete amounts of energy and momentum. When interacting with matter, photons can be absorbed or emitted by electrons, and their energy can be transferred in discrete packets. This particle nature of photons is particularly evident in phenomena like the photoelectric effect, where photons striking a material surface can eject electrons with varying energy levels.

On the other hand, a photon can also behave as a wave. As a wave, it exhibits characteristics such as interference, diffraction, and polarization. These properties are typically associated with waves in classical physics. For instance, when light passes through a narrow slit or around an obstacle, it creates an interference pattern or undergoes diffraction, similar to how water waves or sound waves behave.

The wave-particle duality of photons, and other fundamental particles, is a fundamental aspect of quantum mechanics. It implies that at the quantum level, particles don't strictly conform to classical notions of either particles or waves but possess characteristics of both simultaneously. The exact nature of a photon's behavior depends on the specific experiment or observation being conducted.

It's important to note that the wave-particle duality is a fundamental concept in quantum mechanics and can be challenging to conceptualize using everyday intuition. It is best understood through mathematical formalism and experimental evidence accumulated through scientific investigations.

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