This paper formalizes a widely used dynamical class--replicator-mutator dynamics and Price-style selection-and-transmission--and makes explicit the modeling choices (scale, atomic unit, interaction topology, transmission kernel) that determine how this class instantiates across domains. The backbone is known; we do not claim to have discovered selection. The novel contributions are threefold: (i) a scale-relative kernel parameterization where atomic units are themselves parameters, enabling systematic instantiation across physics, biology, economics, cognition, and social organization; (ii) a consent-friction instantiation for political philosophy, where friction is the primitive, legitimacy functions as survival probability, and belief-transfer functions as mutation kernel; and (iii) a derivation path from social contract theory rather than from biology or physics, arriving at the same formal structure via an independent route. We provide a bridge principle connecting descriptive dynamics to instrumental normativity: if agents prefer lower expected friction, then "ought" claims are shorthand for policies that reduce expected friction under the specified dynamics. This conditional structure avoids the is-ought fallacy while grounding normative discourse in empirically tractable dynamics. We address pathological cases (authoritarian stability, suppressed friction) through explicit modeling of latent versus observed friction. The framework generates testable predictions through operationalization of friction, legitimacy, and belief-transfer dynamics, and is falsifiable at the level of measurement apparatus rather than formal structure.
翻译:本文形式化了一类广泛使用的动力学系统——复制子-变异子动力学与普赖斯式选择-传递模型——并明确了决定该类模型在不同领域具体实现形式的关键建模选择(尺度、基本单元、交互拓扑、传递核)。其理论框架已为学界所知;我们并非宣称发现了选择机制。本文的新颖贡献主要体现在三个方面:(一)提出一种尺度相对化的核参数化方法,其中基本单元本身作为参数,使得该框架能够系统性地应用于物理学、生物学、经济学、认知科学及社会组织等领域;(二)构建了面向政治哲学的“同意-摩擦”实现方案,其中摩擦作为基本原语,合法性函数表征生存概率,信念传递函数则充当变异核;(三)开辟了一条源自社会契约理论(而非生物学或物理学)的推导路径,通过独立途径得到了相同的数学结构。我们提出了连接描述性动力学与工具性规范性的桥梁原则:若行动主体偏好更低的预期摩擦,则“应当”类主张可视为在特定动力学下降低预期摩擦的策略简写。这种条件结构既避免了实然-应然谬误,又将规范性论述锚定于经验可处理的动力学过程。通过对潜在摩擦与观测摩擦的显式建模,我们处理了权威主义稳态、压制性摩擦等病理案例。该框架通过对摩擦、合法性及信念传递动力学的操作化定义生成可检验预测,其可证伪性体现在测量装置层面而非形式结构本身。