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The concept of interference in the double-slit experiment refers to the way wave-like behavior manifests when particles, such as electrons or photons, pass through the double slits. While it may seem counterintuitive, particles can exhibit wave-like properties and interfere with themselves, leading to the observed interference pattern.

In quantum mechanics, particles are described by wave functions, which are mathematical representations that describe the probability distribution of finding a particle in different states. The wave function contains information about the particle's position, momentum, and other properties.

When a particle is sent through the double slits, its wave function spreads out and passes through both slits simultaneously. Each of the two paths then acts as a separate wave source. These two waves propagate and overlap, creating an interference pattern when they recombine on a screen or detector behind the slits.

Interference occurs because the waves from the two paths can either reinforce each other (constructive interference) or cancel each other out (destructive interference) at different points on the screen. This leads to a pattern of bright and dark fringes, indicating regions of high and low probability for the particles to be detected.

It's important to note that particles themselves do not physically combine or interact with each other in the traditional sense. Rather, it is the wave nature of the particles that allows them to interfere with themselves. This wave-particle duality is a fundamental characteristic of quantum mechanics, where particles can exhibit both particle-like and wave-like behavior depending on the experimental setup and measurement context.

The double-slit experiment, along with other quantum phenomena, challenges our classical intuition but is well-established through experimental evidence and mathematical formalism. Quantum mechanics provides a framework that successfully describes and predicts the behavior of particles at the microscopic scale, including interference effects in the double-slit experiment.

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