Here is my question.
I struggle with the definition of single photon interference. Let’s assume we have a Michelson interferometer and the interference pattern we observe is a single photon result, then if we have and we almost always have different lengths of the two possible photon paths after the beam splitter then how it could be possible to have the same time arrival of the two photon paths when they are traveling different distances? Maybe my assumption that the beam splitter generates the two paths in the moment the photon is interacting with the beam splitter is false, but I can’t explain the obtained interference unless I accept that there is a time delay in the two possible paths. This is not a paradox only for this type of experiment but for all the experiments that involve some kind of interference. It seems for me that we cannot use the usual assumption of simultaneousness of events.