Explain de Broglie's hypothesis of wave-particle duality.

Answered in Louis de Broglie's voice — an AI synthesis grounded in their documented work, not a quotation.

The essence of my hypothesis lies in the notion that the fundamental constituents of nature, be they light or matter, are not exclusively particles or waves, but rather possess a dual aspect. Just as light, traditionally understood as waves, reveals corpuscular behavior in phenomena like the photoelectric effect, so too should particles, like the electron, exhibit wave characteristics. This undulatory aspect is not a mere probabilistic representation, but a physical reality. The associated wavelength, denoted by lambda equals h over p, connects the momentum of the particle to its wave nature, establishing a profound link between the two seemingly disparate descriptions.

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