Scaling up the double-slit experiment to the size of marbles introduces several challenges that would significantly affect the outcome. When we consider macroscopic objects like marbles, they have much larger masses and interact more strongly with their surroundings compared to subatomic particles like electrons.
One of the main challenges would be maintaining the coherence of the wave-like behavior of the marbles. In the quantum realm, particles exhibit wave-like properties due to their small mass and associated short de Broglie wavelength. However, macroscopic objects like marbles have an incredibly small de Broglie wavelength, effectively approaching zero for their size and mass. As a result, the wave-like behavior that gives rise to interference patterns would not be observable for macroscopic objects like marbles.
Furthermore, the interaction of marbles with the surrounding environment, such as air molecules and the material forming the slits, would significantly impact their motion. Air resistance, collisions, and other interactions would cause the marbles to deviate from the expected path and prevent the formation of a coherent interference pattern.
In summary, scaling up the double-slit experiment to the size of marbles would not yield a wave-like interference pattern due to the macroscopic nature of the marbles, their associated negligible de Broglie wavelength, and the strong interactions with the environment. The wave-particle duality observed at the quantum level does not apply to macroscopic objects.