The double-slit experiment can indeed be performed using sound waves instead of particles. When sound waves pass through the two slits and interfere with each other, an interference pattern can be observed. This is similar to what happens with particles like electrons or photons.
However, there are some important differences between sound waves and particles in the context of the double-slit experiment. Sound waves are a form of mechanical wave that requires a medium, such as air or water, to propagate. In contrast, particles can exhibit wave-particle duality in various contexts, including in the absence of a material medium.
Regarding the collapse of the wave function, which is a concept associated with the measurement process in quantum mechanics, it doesn't directly apply to sound waves. The collapse of the wave function is a specific feature of quantum systems and relates to the probabilistic nature of quantum measurements.
In the case of sound waves, their behavior is described by classical wave equations rather than quantum mechanics. Sound waves do not exhibit wave-particle duality or experience wave function collapse as particles do in quantum mechanics. The interference patterns observed in the double-slit experiment with sound waves can be explained using classical wave principles such as superposition and interference.
In summary, while the double-slit experiment can be performed with sound waves, the behavior of sound waves is governed by classical wave mechanics rather than quantum mechanics. Sound waves do not exhibit the same quantum phenomena as particles, and the concept of wave function collapse does not apply to them.