Yes, but go back to philosophy not math. All the evidence suggests the "particle" interpretation of QM is simply wrong, that light or energy really is just a self propagating wave, which explains the double slit experiment cleanly, and is not incompatible with energy levels or quantization if formulated correctly. Experiments that claim to show light consists of particles need to be reassessed wearing a philosopher's…
Yes, I never understood why light was considered 'particles' :-( As far as I understand it is because light can only be emitted by atoms with discrete energy levels, but (IMHO again) light is emitted by atoms with discrete energy levels because it is emitted when electrons jumps from one energy level to another and that the possible trajectory of electrons around the atoms aren't continuous, I don't see how this is r…
It's one of Einstein's key insights, one of the foundations of quantum theory.
In Quantum Field Theory you have quantum fields. There are no 'waves' and no 'particles', there's only a 3D probability density field which defines the probability of particle-like events at specific locations. It's the probability field that is 'wave-like', and particles are considered excitations of the field.
So you know you're quite likely to see an electron-like or photon-like event in one location, and not at all likely in another.
Calling this a 'particle' is just an analogy. All you can really say is that a particle-like measurement is likely and/or did happen in one region.
What this really means - whether it's an observer artefact, or an exchange of information, or the output of some kind of computational and/or causal substrate, or something else entirely - is still a mystery.