复杂系统看似混乱,实则由唯一隐秘结构决定,不确定性源于观测局限。
The Theory of the Unique Latent Pattern: A Formal Epistemic Framework for Structural Singularity in Complex Systems
- 提出唯一潜模式理论,用专属生成映射解释系统行为
- 将混沌归因于观测者认知局限,而非系统本身随机性
- 适合对系统本质建模、认知诊断感兴趣的学者
本文提出唯一潜模式理论(ULP),构建一个形式化认识论框架,重新定义动态系统中表观复杂性的来源。不同于将不可预测性归因于内在随机性或涌现非线性,ULP认为每个可分析系统都由一种结构上唯一的确定性生成机制所支配,该机制隐藏并非因本体上的不确定,而是受认知限制所致。理论采用非普遍生成映射 $ \mathcal{F}_S(P_S, t) $ 形式化,每个系统 $ S $ 拥有其自身不可还原、不可复制的潜结构 $ P_S $。观测到的不规则性被建模为该生成映射通过观测者有限接口的投影,引入认知噪声 $ \varepsilon_S(t) $ 作为访问不完整性的度量。通过将不确定性根源从系统转移到观察者,ULP将混沌重新定义为表征失败的语境相关现象。理论与混沌理论、复杂性科学及统计学习中的基础范式形成对比:后者假设或建模共享随机性或集体涌现,而ULP坚持每个实例都蕴含独特的结构身份。尽管属概念性理论,但符合波普尔意义上的可证伪性,主张在足够分辨率下,由不同潜机制驱动的两个系统绝不会保持不可区分。这为人工智能、行为推断和认知诊断中的结构特异性建模开辟了新路径。
原文摘要 · Abstract (English)
This paper introduces the Theory of the Unique Latent Pattern (ULP), a formal epistemic framework that redefines the origin of apparent complexity in dynamic systems. Rather than attributing unpredictability to intrinsic randomness or emergent nonlinearity, ULP asserts that every analyzable system is governed by a structurally unique, deterministic generative mechanism, one that remains hidden not due to ontological indeterminacy, but due to epistemic constraints. The theory is formalized using a non-universal generative mapping \( \mathcal{F}_S(P_S, t) \), where each system \( S \) possesses its own latent structure \( P_S \), irreducible and non-replicable across systems. Observed irregularities are modeled as projections of this generative map through observer-limited interfaces, introducing epistemic noise \( \varepsilon_S(t) \) as a measure of incomplete access. By shifting the locus of uncertainty from the system to the observer, ULP reframes chaos as a context-relative failure of representation. We contrast this position with foundational paradigms in chaos theory, complexity science, and statistical learning. While they assume or model shared randomness or collective emergence, ULP maintains that every instance harbors a singular structural identity. Although conceptual, the theory satisfies the criterion of falsifiability in the Popperian sense, it invites empirical challenge by asserting that no two systems governed by distinct latent mechanisms will remain indistinguishable under sufficient resolution. This opens avenues for structurally individuated models in AI, behavioral inference, and epistemic diagnostics.
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