Stick Theory Postulates: Mendulating Geometry Through Recursive Motion

This paper introduces a formal sequence of structural postulates, called Mendulates, which describe the recursive transformation of motion into form. Each Mendulate defines a distinct phase in the emergence of geometry—convergence, curvature, stabilization, and amplification—culminating in a complete vibrational unit called the vibrate. This work establishes a postulate-level framework for Stick Theory, enabling its application across structural collapse, dimensional behavior, and inertial field recursion.