The following question/thought experiment is based on the dual nature (particle/wave) of electromagnetic radiation. Consider the emisson of a single photon on a 3D grid along the x-axis with its origin at (0,0,0). The only matter in this experiment consists of “electrons” found only in alignment along the x-axis. To eliminate the repulsive nature of like-charged particles, consider these particles to be charge-less, so that we can align them as close to each other as possible. Question 1: Is the associated electromagnetic wave propagated in 3 dimensions around the x-axis and with the probability of both the electric component and the magnetic component “existing” in any dimension at any particular moment? Question 2: If you number the x-axis 1, 2, 3, 4…, and establish the wavelength of the wave to be “1”, is it possible for the photon to interact with an “electron” at any point on the grid other than at (1,0,0), (2,0,0), (3,0,0), etc.? Or should I say, is it more probable that the photon will interact with an “electron” at co-ordinates (1,0,0), (2,0,0), (3,0,0),etc. than at any other point? I know I could get butchered on terminology and construction, but it is a thought experiment after all.