Information is just history. Math describes the relationship of that history.
A charge does not need information, because it always reacts in the same way. A charge can only have one history. One dynamic.
The interaction of charges have the same history also. It can only work in a certain way. There is one exception, but it always has the same history too.(anti-matter)
Electrons are not negative and protons are not positive. Both fields extent out and have an out direction. The electron is left handed and the proton is right handed. Handedness is a fundamental property of charge. Handedness is first expressed with charge. It's the physical difference between what you call a positive and a negative field or charge.
This handedness causes a great asymmetry between the charges. But the charges still have the same structure, and the exact same "quantum" energy levels. This asymmetry assures that bonding has a one way fit. Same common history.
If one relaxes(discharges) a proton.......it will have the same spectrum as an electron. With a right handed field of course. If one charges an electron, it will have the same spectrum as a proton. With a lefthanded field. Under certain high voltage conditions, such as a thunderstorm, the natural asymmetry of the charges can become inverted for a short period.........this is what science calls anti-matter.
It has become a real puzzle for them. But anti-matter is just regular matter. There is nothing missing.
For a system to work for so long, in the same manner, there has to be simple solutions.
Just like the simple physical solution for the constant velocity of light.