Field Traversal Mechanics in Recursive Geometry: Expanding Stick Theory through Collapse Intensity Fields

This paper extends the previously published framework of Stick Theory by introducing traversal field mechanics across recursive geometries. It models how structural memory negotiates tension, velocity, and collapse during local motion through recursion networks. Building on the collapse intensity formalism, the paper provides a fine-grained mechanism linking stick structures to emergent string-like behaviors through field memory dynamics. This work preserves and enriches the original Stick Theory framework without revision.