I don't know. And I've studied quantum mechanics (the fundamentals - not the more advanced mathematics of it). I don't think anyone knows, though most people have their opinions. (I don't mean "anyone" in the strictest sense -- there are amazing people out there, and I wouldn't be surprised if a few of them somehow understand the fundamental nature of the universe.)
I feel like it probably doesn't make sense to say that light is only a wave, nor that it's only a particle. But it also doesn't seem right to say that light is both a wave and a particle. You could say that it's a wave or a particle depending on how you measure it, but that doesn't seem very reasonable either. All you can really say is that it appears as a wave or a particle depending on how you measure it, but that's not really satisfying -- what's behind those appearances? What causes those particular experimental results?
To understand this would basically be to understand quantum mechanics and what the "collapse of the wavefunction" really means / why it "happens." That's the million-dollar question.
Neither. But you can apply either model and observe different results depending on your type of view i.e watch for wave character or watch for particle character just by choice.
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