From what I see, it's like mimicking the annealing process and the "derivative" automatically drives you to the solution. If that's the case, implementing such hardware should be not that hard except for the programmable coupling part. A bit off-topic, this reminds me of the duality between any deep forward network and a modern Hopfield network with some special energy functions, in which the duality is based on the fact that the forward running process can be seen as an energy minimization process.
It's pretty arbitrary. For example, you can define order as the product of all order relationships along each single dimension (binary product). As for connectivity, they can also be defined as boolean functions under certain radius, like the persistent homology spectrum.
you can just use hammerspoon to get the same effect, turning off the bluetooth/wifi right after entering sleep mode and turning them back on when the Mac is unlocked.