The Parallax Dynamics Framework

The Parallax Dynamics Framework is a conceptual architecture for analyzing multi‑mode dynamical systems through structured asymmetry, ratio‑dependent regime classification, and recursive refinement. Originating from the RE‑CRPCR project, the framework formalizes difference‑geometry, φ‑scaled recursion, and attractor‑based evolution to classify system behavior across φ‑aligned, near‑φ, and off‑φ regimes. Applied to multi‑mode spacecraft behavior, the framework provides a generalizable methodology for understanding stability, quasi‑periodicity, and emergent drift across interplanetary mission profiles. This work presents the theoretical foundations, mathematical structure, conceptual modeling approach, and implications for advanced space‑travel research.