Balance Calibration Law: A Cross-Domain Diachronic Meta-Law and Dual-Dimensional Calibration Method Based on the Difference-Existence-Change 3+1 Structure(V3.0)

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Publication Details

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Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-16
DOI
https://doi.org/10.5281/zenodo.22780457
Primary Topic
Chaos, Complexity, and Education
Type
preprint
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preprint

Balance Calibration Law: A Cross-Domain Diachronic Meta-Law and Dual-Dimensional Calibration Method Based on the Difference-Existence-Change 3+1 Structure(V3.0)

Yunfeng Xie
Zenodo (CERN European Organization for Nuclear Research)
Chaos, Complexity, and Education
preprint

Balance Calibration Law: A Cross-Domain Diachronic Meta-Law and Dual-Dimensional Calibration Method Based on the Difference-Existence-Change 3+1 Structure(V3.0)

Yunfeng Xie
preprint en

Abstract

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(V3.0) 【Abstract】 This paper formally proposes the Balance Calibration Law: 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. If Difference, Existence, and Change are taken only in static juxtaposition, they remain at the simultaneous level of threefold co-presence, lacking an endogenous temporal dimension and degenerating into the framework of formal logic; only the 3+1 structure of real-time coupling among the three with endogenous unidirectional time makes calibration necessarily diachronic. Taking this as its meta-premise, this paper synthesizes the cross-domain commonalities of balance phenomena and, taking "specific persistence" as its domain, identifies six core mechanisms and a dual-dimensional calibration method (what is universally applicable is balance itself, whereas the Calibration Law is a true proposition that applies generally through a minimal-sufficient mechanism set under the condition of "taking specific persistence as the goal," rather than an unconditional universal); it distinguishes calibration operations into diachronic calibration (the general form) and order-elevation calibration (the special form, applicable only to first-order paradox loops—vicious circles in which calibration within the same order worsens imbalance and only rewriting the rules themselves can break the cycle), 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. 【Version Note】 Version 3.0 is the formal finalized version. On the basis of V2.0 it settles the following: 1. Method: the whole text is unified under the Directional Denial Method (the core of the First-Cause Difference Tracing Method)—extreme denial within the domain of actual existence, assigning what is logically deniable to human invention and what cannot be shaken to objective discovery; virtual-existence and mixed fields are only demarcated, not falsified. This is explicitly distinguished from Popperian falsificationism. 2. Domain and necessity: it distinguishes the ontological categorical statement (balance is coextensive with "existence" and bears no empirical falsification duty) from the methodological conditional proposition (the six mechanisms and the dual-dimensional calibration method apply generally through a minimal-sufficient mechanism set under the condition of "taking specific persistence as the goal"); the domain is open to actual counterexamples, classified three ways (application failure / field heterogeneity / pointing gap). 3. Structure of the six mechanisms: they form an asymmetric directed acyclic graph (DAG); Q1-Q6 are a minimal set of functional links, not an enumeration of ontological dimensions; the completeness claim converges to the minimal sufficiency of "none removable, none further needed," with four admission criteria for a seventh mechanism (front-stage necessity, background universality, independence, completing validity). 4. Calibration Priority: it states in layers the conditional necessity that "to persist is to do anti-entropic work," and the two premises on which capacity-end priority depends (the persistence object is not allowed to contract; the exposure end has an incompressible lower bound); it specifies the only two legitimate forms of exposure-end restriction (a temporary buffer buying time for the capacity end, and an orderly retreat once the goal is changed to contraction), grounded by a famine hard case and the diachronic identity of persistence objects S/S′. 5. Boundary cases: mathematics is positioned as the study of pure formal structure after the "dimension" is stripped (covering arithmetic, algebra, analysis, and set theory, topology, category theory, group theory, mathematical logic), as a boundary case of the core domain; apoptosis and inevitable individual death are treated as cases of persistence-object layering; the social field incorporates an accurate account of spontaneous orders such as market prices and linguistic customs. 6. The references are supplemented with authoritative critical editions and relevant DOIs. 【内容摘要】 本文正式提出平衡校准律: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。 差异-存在-变化若仅作静态并列,便停留在三者具足的同时性层面,缺少内生时间维度,本质上退化为形式逻辑框架;唯有三者实时耦合、内生单向时间的3+1结构,才使校准必然具有历时性。本文以此为元前提,结合各领域平衡现象的跨领域共性,以“特定持存”为论域整理出六大核心机制与双维校准方法(万有通用的是平衡本身,校准律则是在“以特定持存为目标”这一条件下以最小充分机制集通泛适用的真命题,而非无条件全称),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——即同阶位内越校准越失衡、须改写规则本身才能打破的恶性循环),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。 【版本说明】 本版(V3.0)为正式定稿,在V2.0基础上完成以下定型: 1. 方法论定型:全文统一于定向否认法(第一因差异溯源法的核心内核)——在实存论域内做极限否认,可被逻辑否认的归人为发明,撼不动的归客观发现;虚存及虚实混合场域只执行划界,不执行证伪。与波普尔可证伪主义明确区分。 2. 论域与必然性定型:区分存在论范畴陈述(平衡与"存在"同外延,不承担经验证伪)与方法论条件命题(六机制与双维校准法在"以特定持存为目标"条件下,以最小充分机制集通泛适用);论域对实存反例开放,反例三分(应用失败/场域异构/指向缺失)。 3. 六机制结构定型:六大机制构成非对称有向依赖结构(DAG),Q1-Q6定性为最小功能环节集而非本体维度枚举;完备性主张收敛为"缺一不可、增一不需"的最小充分性,并给出第七机制的四条受理判据(前台必要性、背景普遍性、独立性、补全有效性)。 4. 校准优先机制定型:分层陈述"要持存必须反熵做功"的条件必然,与能力端优先所依赖的两个前提(持存对象不允许收缩、暴露端有不可压缩下限);明确暴露端限制仅有的两个合法身份(为能力端购买时间的临时缓冲、目标改为收缩时的有序撤退),并以灾荒硬案例与持存对象S/S′的历时同一性予以界定。 5. 边界情形定型:数学定位为抽去"纲"之后的纯形式结构研究(覆盖算术代数分析与集合论、拓扑、范畴论、群论、数理逻辑),作为核心论域的边界情形;细胞凋亡与个体必死作为持存对象分层案例处理;社会场域纳入市场价格、语言习俗等自发秩序的准确表述。 6. 参考文献补入权威整理本与相关DOI。

Zenodo (CERN European Organization for Nuclear Research)
Peace, Justice and strong institutions
Chaos, Complexity, and Education
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