> This is the wrong type of "absorbed and re-emitted". Photons are not completely absorbed and then re-emitted by a single atom, like you get when you cause fluorescence or something. See my longer explanation. So while you are correct to worry about random direction or energy in the case of classical particle absorption and re-emission, that's not what's happening.

That was exactly what I was wondering about. Thank you for the long explanation. So, basically, if a laser goes into the glass pane here it comes out there because this "there" is the most quantum-probably place, and the same with other parameters. Interesting approach, and it actually makes sense.

It is amazing to see the path that physics traverses through mathematics on the different layers. Basic algebra for laws of leverage, calculus when it comes to the relativistic stuff, and probability and information theory down below when things go quantum.