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Some interpretations of quantum mechanics propose that our entire universe is described by a single universal wave function that constantly splits and multiplies, producing a new reality for every possible quantum interaction. That's quite a bold statement. So how do we get there?

One of the earliest realizations in the history of quantum mechanics is that matter has a wave-like property. The first to propose this was French physicist Louis de Broglie, who argued that every subatomic particle has a wave associated with it, just like light can behave like both a particle and a wave.

Other physicists soon confirmed this radical idea, especially in experiments where electrons scattered off a thin foil before landing on a target. The way the electrons scattered was more characteristic of a wave than a particle. But then, a question came up: What, exactly, is a wave of matter? What does it look like?

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