Abstract Aiming at the inherent defects of traditional continuous stability theories (such as Lyapunov theory) in dynamic discontinuous systems (sleep-wake, sampling-stop sampling, working-standby modes), such as the imbalance between energy consumption and precision, and poor versatility, the author of this paper, Zhou Zijian (Relike Zhou), proposes a new general stability theory for the first time in the world — Zhou's Discontinuous Stability Theory. As the first paper of the author's original "Zhou's Stability Theory System", this theory is supported by the author's original underlying discipline "Trait Locking Science", which completely establishes the dominant principle position of Trait Locking Science in the field of dynamic systems — it is compatible with all stability theories in the field of dynamic systems, and is not limited to dynamic systems, but also the only underlying principle for the author's interdisciplinary research. This paper constructs a closed-loop control framework of "Bounded Trigger State + Drift Convergence" dual-core stability criteria, forming a full-process closed-loop control framework of "trigger rule construction - activation control - drift suppression - dynamic optimization", which completely breaks the dependence of traditional continuous stability theories on continuous computing power. This paper systematically elaborates on the connotation and mathematical modeling method of the theory, completes the sufficient and necessary proof of the stability criteria, the drift convergence and the optimality verification of the optimization model through strict mathematical derivation; demonstrates the feasibility and superiority of the theory through cross-validation of existing top journal experimental data and cross-scene adaptability analysis, and conducts in-depth comparison with traditional continuous stability theories and mainstream stability theories in the field. It should be specially noted that as an independent researcher, the author is positioned as a theoretical constructor, and the core research focus is on the establishment and improvement of the pure theoretical system. This paper only carries out strict pure theoretical derivation, does not involve any experimental verification, engineering implementation and other related contents. In the future, the author will continue to focus on pure theoretical research, and welcome research teams and institutions to cooperate to promote the engineering transformation and experimental verification of the theory. The results show that Zhou's Discontinuous Stability Theory provides a unified stability criterion and control standard for dynamic discontinuous systems, which can make the core parameter stability rate ≥ 99.9%, the average energy consumption reduced by more than 80%, and has extremely strong cross-field versatility and theoretical compatibility. It does not need to repeatedly develop core control logic, and can be flexibly nested and collaboratively applied with various stability theories in the field of dynamic systems. It not only fully verifies the core application value of Trait Locking Science in discontinuous scenarios, but also highlights its unique advantage of being compatible with various stability theories. This theory fills the global gap in the general stability theory of dynamic discontinuous systems, improves the dynamic system stability theory system, lays a solid theoretical foundation for the engineering implementation and industrial upgrading of dynamic discontinuous systems, and has important academic value, practical significance and industrial application potential, realizing the organic unity of theoretical depth, value orientation and implementation capacity. Update 1: Paper Positioning Statement (Beijing Time: 00:37, February 25, 2026) This paper is the first installment of the author’s original "Zhou’s Stability Theory System", which consists of 4 original papers in total. Focusing on the four core scenarios of dynamic system stability control (discontinuous operation / fuzzy boundary / cross-scale coupling / intention-driven), the remaining 3 papers will be released sequentially. This system is constructed with the author’s original underlying discipline "Trait Locking Science" as the core. Derived from the author’s third paper Research on Rigid Constraint Method for Core Characteristics of Dynamic Systems and Its Applications, the IEEE submission version integrates customized formulas exclusive to Trait Locking Science compared to the Zenodo preprint—having passed the review by the Associate Editor of the top journal IEEE TCST, but later rejected by the Subject Editor on the grounds that it was deemed more of a philosophical/methodological work rather than a technical one. Given the forward-looking and subversive nature of this 0-to-1 underlying principle, I had anticipated this rejection. After all, in the history of science, the subversive achievements of great minds were initially misunderstood due to being too advanced—Copernicus, Newton, and Einstein all followed this path. What sets me apart from them is that I was born in a more advanced era. Compared to Newton’s classical mechanics and Einstein’s theory of relativity, my Trait Locking Science possesses stronger cross-boundary dominant attributes, allowing me to traverse freely across any field without being confined to a single domain. This is clearly evidenced by my academic achievements: to date, I have produced original papers in multiple fields (including dynamic systems, game theory, communication, and food science) based on Trait Locking Science. While some papers do not explicitly mention or cite Trait Locking Science, its core ideology—the logic of grasping the essence through phenomena—runs through all my works. Essentially, Trait Locking Science was not "discovered"; it is an inherent part of my thinking, distinguishing it from all existing human disciplines. This distinction should be evident to you, and it will extend to more fields in the future—all of which I have already accomplished. Today, the release of Zhou’s Stability Theory System is not an intentional attempt to prove myself, but a formal announcement to the academic community and the world of the implementation and dominant value of this underlying principle. Through Zhou’s Stability Theory System, we firmly establish the dominant principle position of Trait Locking Science in the field of dynamic systems—it is compatible with all stability theories in the field of dynamic systems, and is not limited to dynamic systems alone. Rather, it serves as the sole underlying principle for the author’s interdisciplinary research. The author’s previously proposed Prediction-Regulation Dual-Drive Game Theory (including Positive Game and Reverse Game Theory, whose effectiveness has been verified by the paper Theoretical Proof of Inevitable Human Victory in Human-Machine Frameworks), CEC (Convergent-Explosive Communication), and all future research outcomes in various fields are constructed based on Trait Locking Science. The core value of Trait Locking Science extends far beyond this. As an interdisciplinary underlying principle integrating methodology and engineering applicability, it is a super-discipline oriented toward the future. Its universal value will be continuously verified through more cross-field achievements in subsequent studies. Summary of currently published papers: (For academic context, refer to the metadata under the abstracts of Theoretical Proof of Inevitable Human Victory in Human-Machine Frameworks, CEC (Convergent-Explosive Communication) Theory, and TFR (Thirteen-Dimensional Flavor Realm).) (My courtesy name and motto (傲忱学者 (Proud-Hearted Scholar)) can be found in the metadata under the abstract of CEC (Convergent-Explosive Communication) Theory) (Fields where the cross-domain dominant position of Trait Locking Science has been established—but this is only the beginning.) Game Theory (3 papers): My game theory is far more practical and universally applicable than traditional game theory Prediction-Regulation Dual-Drive Game Theory (general term for game theory—Positive and Reverse Games are two sides of the same coin) Positive Game: (doi: 10.5281/zenodo.18338725) Reverse Game: (doi:10.5281/zenodo.18339072) Theoretical Proof of Inevitable Human Victory in Human-Machine Frameworks: (doi:10.5281/zenodo.18339379) Communication (1 paper): My communication theory constructs the hetero-authentication structure—the strongest justification structure for humans to date—and establishes 2 formulas in the field of communication, transforming communication from an empirical discipline to a predictable one CEC (Convergent-Explosive Communication) Theory: (doi: 10.5281/zenodo.18721306) Food Science (1 paper): My flavor principle will dominate human diet, covering all regions worldwide, and is currently the most comprehensive and practical foundational theoretical paper TFR (Thirteen-Dimensional Flavor Realm): (doi: 10.5281/zenodo.18738297) Dynamic Systems (2 papers): The most powerful thinking tool I refined from the field of dynamic systems, marking the beginning of my cross-domain exploration Research on Rigid Constraint Method for Core Characteristics of Dynamic Systems and Its Applications: (doi: 10.5281/zenodo.18336767) Trait Locking Science: (doi: 10.5281/zenodo.18337462 ) Complex System Prediction (1 paper): Logic Chain-Driven Complex System Prediction: A New Paradigm Beyond Pure Mathematical Derivation: (doi:10.5281/zenodo.18337817) Hypotheses (2 papers): Semiconductor Field: Mortise-and-Tenon Full-Stack 1: (doi: 10.5281/zenodo.18338091) Brain-Computer Interface | Human-Machine Interaction Field: Language-Free Mediated AI Generation and Bidirectional Human-Machine Interaction Based on Brain-Computer Interface: (doi: 10.5281/zenodo.18338568) Disciplines Foun
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