Open Dynamics in Deficit-Fractal Governance: Capacity, Memory, Noise, and Non-Normal Growth
Year: 2026
Type: article
Abstract: This working paper collects the open dynamical extensions that lie outside the finite self-adjoint core established in Paper 1. It addresses candidate capacity dynamics, non-normal transient amplification, stochastic finite-skeleton regularization, non-Markovian memory kernels, and dynamic threshold engineering. The paper emphasizes that these results are candidate closures, formal extensions, demonstrations, or open research programmes rather than core theorems. In particular, the capacity variable C(t)C(t)C(t) is identified as a hidden control parameter whose depletion can move the system from stable to unstable regimes, while the absence of a closed C(t)C(t)C(t) equation limits the framework to phase diagnosis rather than full onset prediction. The paper also introduces non-normal diagnostics, stochastic extensions, memory-kernel formulations, and threshold-engineering levers for future theoretical and empirical work. This is Paper 5 of the six-part DFG Unified Interaction Field Theory Series. AI use disclosure. Generative AI (OpenAI GPT) was used substantively in preparing this work, including source comparison, drafting and editing, and, where applicable, mathematical and counterexample checks and the writing and running of supplementary code. The research questions, framework and final claims were directed and reviewed by the author, who takes full responsibility for the content, including the accuracy of all references and reported numbers.
Author: Seol, Bin
Language: English
Topic: Complex Systems and Dynamics
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7159779149
FWCI:
Cites:
Cited by:
Related to: