Endogenous probability measures invariant under refinement transformations exist on finite sigma-algebra systems and induce natural dynamics on the lattice of algebras.
Thus time, causality, and quantum behaviour all arise from the dynamics of making distinctions in an initially undifferentiated informational continuum
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Endogenous Measures and Refinement Dynamics on Finite {\sigma}-Algebra Systems
Endogenous probability measures invariant under refinement transformations exist on finite sigma-algebra systems and induce natural dynamics on the lattice of algebras.