I recently revisited the problem of energy transfers in the two-dimensional (Flatrack) model and came up with a new paradigm: instead of residing in the “bubbles”, energy can be considered as residing in the lines which join their centers. Each line’s energy is equal to one third of the combined area of the two triangles it separates. (As new bubbles are formed, every line is eventually crossed by another; it thereupon ceases to exist and its energy becomes zero.)
Earlier today I plotted the distribution of energies in the 88,956 lines that exist in the Flatrack model at time 500. Over 99% of them fell in the range between zero and 3*10^-5, as shown in the graph below. (Note that area is measured in triangular rather than square units, so the total area in the whole model is 1.)
I had expected to find spikes in the energy distribution, but to my surprise it resembled this blackbody curve:
What does this prove? Well, I don’t claim it proves that my theories are correct, or even that I’m on the right track. But it does seem to suggest that the same processes are at work in the Flatrack model and in the Universe.