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The theory that matter has a wave nature is known as the de Broglie hypothesis, which proposes that all particles exhibit wave properties. The most direct and compelling evidence for the wave nature of matter, specifically electrons, comes from the phenomenon of electron diffraction. Experiments like the Davisson-Germer experiment showed that electrons, when passed through a crystal lattice, produce diffraction patterns similar to those produced by X-rays, thus confirming their wave-like behavior.A. Electron momentum is a particle property, not direct evidence of wave nature.C. Photon momentum and D. photon diffraction are phenomena associated with the wave-particle duality of light (photons), not matter (electrons).