“Why does the brain transcend bell-curve averages? One possible explanation is that the brain lacks a privileged scale because its functioning cannot be reduced to component parts (i.e., neurons). Rather, it is the complex interactions between parts which give rise to phenomena at all spatial and temporal scales. . . . Like averages, reductionism is deeply ingrained in our scientific thinking. Water is explained in terms of molecules, molecules in terms of atoms, etc. If the brain is reducible to simpler parts, it should also exhibit a privileged scale of organization.
And yet, it does not. A unifying mechanism for power law behavior in the brain and other systems is that of self-organized criticality (SOC). According to this model, systems such as the brain operate on the brink of instability, exhibiting slow processes that build energy and fast processes that dissipate energy. In such systems, small causes have effects of many sizes. Imagine you are at the beach building a sand pile. As you add sand, the pile gets taller until its slope reaches a critical angle where it can barely support more sand. Steadily adding more sand will result in avalanches ranging in size from a few grains to significant portions of the pile. The avalanches are a scale invariant emergent property. Studying individual grains of sand tells you little about avalanches.”
—Joel Frohlich, “Scale Invariance: A Cautionary Tale Against Reductionism” on Knowing Neurons (HT Alexis Madrigal’s newsletter)