I'll ask the question again. Which element of light, or indeed any form of electromagnetism is unwanted? Whichever is that content could then be noise.
If light doesn't interact with an electric field then where are we?
Photon noise is a form of uncertainty that exists in the light itself, independent of any 'electrical domain'. The uncertainty manifests as randomness in the photon stream. 'Strong' or 'bright' photon streams inherently have a relatively high signal to noise ratio; 'weak' or 'dim' photon streams inherently have a much lower one.
High signal to noise ratio? Let us assume that we are deciding to work in this particular none entirely realistic world of balls of energy. Each of these packets has the same energy. Where is the noise? I want 5 packets. I get 5 packets. I don't get anything else. So nothing lost or unwanted.
If we look to Max Planck. He would describe this puzzle as an energy related to wavelength. Which brings another puzzle. That aside if this said light has one wavelength what part of this wavelength of corpuscular light is unwanted?
I'm happy to have all of it.
The element you removed I don't agree is different topic entirely hence I wrote it.
I'm not sure that is such a good description of electromagnetics.
What this talks of us that if we have a physical detector which has some size (say a rectangle) that if we pass light with respect to some timeframe we get that distribution.
However, everything underneath the function shown (it's a good function no problem there) is stuff I want. Hence no noise.
If this tells us that's it's tricky to measure (now we have introduced something funky) some parameter of whatever this function is talking about ( number of sheep within our farm boundary is so a Poisson function) in descrete time slices then I agree. But that's not what you said.
If I take a single moment in time, count my sheep then I have the number in that boundary. No unwanted data, no noise. If we let the clock move on a bit that number may change. Run it long enough and measure at random (more funky stuff - that's going to be tricky) intervals guess what, Poisson is back.
This tells us that there is a temporal variation – noise – that “accompanies” the photons at the input of an imaging system
(I removed the comments about noise reduction, which is an entirely different discussion.