Dimensional Behavior in Recursive Geometry: Stick Theory and the Collapse of Structure into Flow
Year: 2025
Type: article
Abstract: Stick Theory is a recursive geometrical framework that models emergent dimensional behavior through the structural collapse of connected linear elements. Unlike string theory, which relies on vibrational abstraction in higher-dimensional space, Stick Theory derives motion, fluidity, and field-like behavior from recursive saturation of rigid structure. This paper introduces the Faulkner Structural Motion Equation (FSME) and the Dimensional Flow Threshold (DFT), providing a complete mathematical foundation for modeling motion as the derivative of recursive identity collapse. The theory is supported by mechanical analogs such as the Hoberman sphere, offering a testable and visually grounded alternative to smooth-field physics.
Author: William Jordan Wade Faulkner
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6931042908
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