Look at this from the opposite direction, coming from the observation and going towards the model, instead of coming from the model side.
You see a certain set of things. Some of them make you think “well, that’s just like a bowling ball behaves, so it should be a particle!”. But then there are also some that make you think “well, that’s just like ripples on water behave, so it must be a wave!”.
Particle and wave are in the end just attempts to cast the properties of light into a more graspable model. And the best we came up so far is a mixture of a particle and a wave.
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