Theoretical framework models diachronic equilibrium across complex systems, suggesting a unified calibration methodology for diverse scientific disciplines.
中文名称:平衡校准律:一种基于差异-存在-变化3+1结构的跨领域历时性元规律与双维校准方法 This paper formally proposes Balance Calibration Law V2.0: all systems with differences and interactions possess a dimension of equilibrium-disequilibrium; balance is a necessary condition for the stable persistence of systems, and through active calibration, systems can be guided toward stable longevity or accelerated collapse and disequilibrium. V1.0 took the Difference-Existence-Change Trinity as its meta-premise, but that Trinity in fact remained at the static level of threefold co-presence, lacking an endogenous temporal dimension and essentially anchored in the framework of formal logic. V2.0 upgrades the meta-premise to the Difference-Existence-Change 3+1 structure: the real-time coupling of the three (second-order state) necessarily entails an endogenous unidirectional temporal dimension, and calibration is therefore necessarily diachronic. On this foundation, this paper synthesizes the cross-domain commonalities of balance phenomena across fields to identify six core mechanisms and a dual-dimensional calibration method, distinguishes calibration operations into diachronic calibration (the general form) and order-elevation calibration (the special form, applicable only to first-order paradox loops), and conducts a preliminary investigation of applicability across seven domains: mathematics, physics, chemistry, biology, engineering, society, and cognition. The Balance Calibration Law elevates balance from a background concept across domains to a systemic meta-law with independent ontological status, providing a unified methodological foundation for the diagnosis, design, and regulation of complex systems. 本文正式提出平衡校准律V2.0:所有存在差异与相互作用的系统,均存在平衡-失衡的维度;平衡是系统稳定存续的必要条件,通过主动校准,可使系统趋向稳定长存,或加速其崩溃失衡。 V1.0以差异-存在-变化三位一体为元前提,但该三位一体实际上停留在三者具足的静态并列层面,缺少内生时间维度,本质上锚定的是形式逻辑框架。V2.0将元前提升级为差异-存在-变化3+1结构:三者实时耦合(二阶态)必然内在包含单向时间维度,校准因此必然是历时性的。本文以此为根基,结合各领域平衡现象的跨领域共性,归纳整理出六大核心机制与双维校准方法,并将校准操作区分为历时性校准(普遍形式)与升阶校准(特殊形式,仅适用于一阶悖论闭环),对数学、物理、化学、生物、工程、社会、认知七大领域进行适配性初步考察。 平衡校准律将平衡从各领域的背景板概念提升为具有独立本体位的系统元规律,为复杂系统的诊断、设计与调控提供统一的方法论基础。
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Yunfeng Xie (2026) studied this question.
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