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State Spaces & Symmetry

Primes about the geometry of a system's possible configurations: degrees of freedom, manifolds, phase space and phase diagrams that partition parameter regions, saddle points where stability is direction-dependent, and symmetry, equivalence, and Mach's principles governing which configurations laws permit.

8 primes in this family — primes that sit near one another in abstraction space (k-means over structural-signature embeddings). Each is shown with its structural–framed character and how distinctive (sparsely-neighbored) it is.