I fail to fully understand why this question got closed. Yes there is a reference to a real world situation in it and at the first glance it seems off topic. But I have a different point of view on it and it seems that there are some questions on Math.SE like this and this which were well accepted and they seem to be viewed under this point of view which is described below.
There is a physical phenomenon and we try to understand and explain it using a mathematical structure without bothering too much about the details as to how the mathematical structure is manifested as a real world phenomenon. For example consider plucking a string of a Guitar and the sound we hear is nothing but the result of exciting a resonator. The phenomenon of resonance has a mathematical structure behind it.
In the situation here we are given a physical phenomenon and asked to figure out a possible mathematical structure behind it, without bothering too much about the details like the physical meaning of all the parameters in that mathematical structure. The only help to be taken is from a plain intuition about the physical phenomenon. This is not a well posed problem but it is still worth asking.
What can't Mathematicians venture into such a things once in a while. I have seen and read some books which explain some mathematical concepts using physical phenomenon (just for the joy of it) and what is wrong to try to figure out a mathematical structure behind a given physical phenomenon by taking help of some plain intuition.
And lastly I wonder if there exist mathematical concepts discovered while trying to explain a physical phenomenon or inspired by a phenomenon. If there are any such examples from history they would certainly strengthen this argument.