A couple things to add that don’t deserve to be in the main text:
The Taylor series for the Z6 partition function is 1+x−x3−x4+O(x5), which means it actively learns “not this” the second, and third times around. This is why we see a dip (1+x) when x<1, followed by a steep rise in loss (−x2−x3) as x>1, and then a tapering out.
The Z1 and Z2 partition functions correspond to bosons (e.g. photons) and fermions (e.g. electrons) in physics. Perhaps Z6 corresponds to an exotic particle the theorists have yet to classify.
A couple things to add that don’t deserve to be in the main text:
The Taylor series for the Z6 partition function is 1+x−x3−x4+O(x5), which means it actively learns “not this” the second, and third times around. This is why we see a dip (1+x) when x<1, followed by a steep rise in loss (−x2−x3) as x>1, and then a tapering out.
The Z1 and Z2 partition functions correspond to bosons (e.g. photons) and fermions (e.g. electrons) in physics. Perhaps Z6 corresponds to an exotic particle the theorists have yet to classify.
Pretty sure that the ‘exotic particle’ in question for the last sentence would be a spin-1/6 anyon. So ‘…have already classified’.
I haven’t been able to find the spin-1/6 anyon’s partition function, so mine could be wrong.