QED - Light Edition
Can you translate that into laymen for those of us unfamiliar with quantum dynamics? What do you mean 'add linearly'?
It's hard to explain anything about quantum electrodynamics (QED) without math and even harder to explain with math.
Basically 'adding linearly' is analogous to the photons passing through each other like ghosts.
Photons don't absorb other photons or bounce off each other like billiard balls colliding. Although, I'm sure it would produce some very interesting effects if they did behave that way.
A small cross-section is analogous to how close the photons approach each other or how small the circular cross-section is into which their energy is concentrated, essentially meaning that for photons to interact they must be extremely close to each other. At the microcosmic quantum level, the distance between the photons in a flashlight beam is like light years. The chances of any form of interaction between them is microscopically remote.
Photon-photon interaction generally requires a very, very high density of photons, like an extremely intense laser beam. They must also be of very, very high energy (e.g. like gamma rays). These two factors govern the probability that photon-photon interactions will occur.
Usually a moving particle, perhaps an electron, is involved where the photons interacting with it obtain even more energy which can mediate the photon-photon interaction. The W and Z particles connect the nuclear weak force to the electromagnetic force. They are involved in the beta decay of neutrons in the atomic nucleus.
The photons coming from two flashlights facing each other would have next to nil probability of interacting due to their extremely low density at the microcosmic level and their extremely low energy.
However, gamma ray photons colliding with intense, high-density laser photons could cause interactions between the photons which could generate particles of matter and antimatter from the pure light energy (e=mc² in reverse). The particles created would be electron-positron pairs. If the particles collided, then they would be converted back into light again! Now
that's a light show!
You would need some pretty powerful flashlights to do this!
Certain wavelengths of coincident light can produce some interesting interference patterns on a screen, but this is not exactly photons interacting with each other in an intimate sense.
This is interesting:
Light has no mass itself, but can it interact with other light to create particles with mass! Conversely, particles with mass can be converted into light without mass. This is because e=mc² works both ways.
Since the world of quantum mechanics is so counterintuitive, explaining quantum interactions is difficult in terms of everyday experiences and observations, so analogies are hard to establish in many cases.
I'm not sure if I'm getting anywhere with this, but I tried.
LOL
QED is weird, to put it mildly.