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The concept of wave-particle duality can indeed be a challenging and abstract idea to grasp. It is a fundamental concept in quantum mechanics that has been extensively tested and confirmed through numerous experiments. While it may seem counterintuitive or difficult to reconcile with our everyday experiences, wave-particle duality has been validated by the empirical evidence gathered over many decades.

Physics relies on mathematical models to describe and predict the behavior of natural phenomena. In the case of wave-particle duality, the mathematical formalism of quantum mechanics has proven to be incredibly successful in explaining a wide range of phenomena, from the behavior of subatomic particles to the properties of light.

The concept of wave-particle duality arises from the mathematical framework of quantum mechanics, which treats particles such as photons and electrons as quantum objects described by wave functions. These wave functions capture the probabilistic nature of quantum systems, allowing us to make predictions about the outcomes of measurements and observations.

While it is true that the language and interpretations used to describe wave-particle duality can be metaphorical or abstract, the predictions made by quantum mechanics have been consistently supported by experimental results. The mathematics of quantum mechanics accurately predicts the behavior of particles and waves at the microscopic level, and its applications, such as in the development of technologies like transistors and lasers, demonstrate its practical utility.

Ultimately, the success of quantum mechanics and the concept of wave-particle duality lies in its ability to make precise and accurate predictions about the behavior of particles and waves at the quantum level. While it may challenge our intuitive understanding, the mathematical framework of quantum mechanics has proven to be an incredibly powerful and reliable tool in describing and understanding the fundamental workings of the universe.

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