Axiom 2
Structural Compressibility
Reality self-organizes into lower-complexity patterns
Formal Definition
K(x) + c < |E(x)| for some constant c > 0
A real pattern has Kolmogorov complexity K(x) strictly less than its exhaustive description. Reality contains compressible structure, not random noise.
In the ASH Model
The simulation demonstrates A2 directly: from any initial distribution, agents converge to a Gaussian described by just two parameters (mean and variance) rather than 512 vertex occupancies. Complex behavior emerges from 6 simple codewords — massive compression of the rule set.