Are those dots meant to be quantum field-values, QED photons, or the like? If so, do you mean to claim that Snell's law (or even Duarte & Piper Am. J. Phys 1982) is fully recovered by building up from quantum elements travelling at different speeds (or having different momenta)?
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No, it’s just a visualization. However snells law is derived from QED
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The speed of light in glass (or in any medium) is constant and does not depend on the wavelength. The angle of refraction when the light enters the glass *does* depend on wavelength, and that's why the light splits.
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The red light, having a shorter path, will pass through the glass more quickly, but not at a higher velocity.
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Why specifically red light?
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Red light has a longer wavelength (and thus lower energy) than the other colours.
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