Frequency Envelope Traversal (FET) A Continuity-Based Navigation Framework

Frequency Envelope Traversal (FET) introduces a continuity-based navigation framework developed within the Paton System. Conventional navigation architectures typically achieve movement through force application, continual trajectory correction, and propulsion-driven traversal. In contrast, FET investigates whether navigation may be interpreted as a continuity-preservation problem in which a system continuously identifies, evaluates, and maintains environmentally compatible pathways. The framework is built around two principal components: • An Internal Reference Structure (IRS), responsible for preserving system identity and coherence. • A Frequency Envelope (FE), responsible for environmental sampling, compatibility assessment, and admissibility mapping. Traversal is modeled as the maintenance of coherent admissibility through a changing environmental landscape rather than solely as a function of force generation. The paper develops the conceptual architecture of the framework, presents an initial mathematical formalization, explores compatibility-gradient interpretations of navigation, and discusses potential implications across scales ranging from biological systems to future spacecraft navigation concepts. The work is presented as a theoretical framework intended to stimulate discussion regarding continuity-preserving navigation architectures, recognition-driven traversal systems, and compatibility-based environmental interaction.