Veritasium's video on power laws is excellent.

· Bits and Bobs 12/1/25
    • A few notes / riffs.
    • Mediocristan: normal distributions.
    • Extremistan: power law distributions.
    • Any mechanism that has preferential attachment is by definition Extremistan.
    • The Extremistan power law is called a log normal.
    • A power law implies scale free, which implies fractal behavior.
    • At the critical point in a system, fractal behaviors show up.
    • Systems tune themselves to criticality automatically.
      • Self-organized criticality.
    • Criticality is balanced on a knife's edge, the most interesting position to be in.
      • Kind of like entropy; it has the the most adjacencies.
    • In a system that's in self organized criticality none of the physical details matter for how it behaves.
      • The criticality is more important than any other detail.
    • Insurance fundamentally assumes Mediocristan not Extremistan.
      • If it's a power law it's uninsurable because the average goes up to infinity.
      • This is true only if the extreme phenomena are correlated.
      • Of course, in a crisis all correlations go to 1.
    • Only the world of information can live in Extremistan.
      • You need to be able to replicate the product quickly.
      • Of course, physical things can also be constructed quickly, on a spectrum.
        • Books can be printed.
        • Furbies can be constructed.
        • Restaurant chains can add more store locations.
      • But the more it requires atoms to be configured the more it will live in Mediocristan.

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