Philip Lilien

Observer Dynamics and Discrete Records

We develop the observer function as a context-dependent process connecting continuous preparations to distinguishable records. The central mathematical result remains conditional: separated asymptotically stable outcomes produce a discrete basin quotient on the regular domain, wh...

Reclosure Calculus I: Geometry of Reclosure, Strange Attractors, Fractal Regimes, and Period-Doubling Universality

Reclosure Calculus I Reclosure Calculus I: Geometry of Reclosure, Strange Attractors, Fractal Regimes, and Period-Doubling Universality develops a mathematical framework for describing systems that do not simply move toward one final closed state, but instead repeatedly reorganiz...