发表机构
Xintong Zhima (Beijing) Technology Co., Ltd.（新 Tong 之马（北京）技术有限公司）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究提出时间因果统一性框架，连接过程哲学与认知社会动力学操作模型，定义因果进展，通过主体相关因素控制演化，以Kuramoto特殊情况为例说明同步阈值等，推导相关假设和协议，搭建过程本体与复杂系统建模的桥梁。
AI 中文摘要
本文提出了时间因果统一性（TCU）框架，将过程哲学论点——时间是因果变化的有序展开——与认知和社会动力学的操作模型相连接。该框架特意分离出三个主张：关于生成的解释性论点、可测量的因果进展坐标和随机网络模型。因果进展由\(\tau(t)=\int_0^t\lambda(s\mid\mathcal H_s)\,{\rm d}s\)定义。主体具有取向相位和激活幅度，加权相互作用等因素控制其在\(\tau\)中的演化。通过一阶和二阶谐波序参量区分共识和双极极化。以全对全噪声Kuramoto特殊情况为例，同步始于条件阈值\(K_c = 2(\Delta + D)\)。给出了可重复的数值示例。推导了可证伪假设和样本外协议。TCU是过程本体论与复杂系统建模之间的规范桥梁。
英文摘要
This paper develops temporal-causal unity (TCU), a framework connecting a process-philosophical thesis -- time is the ordered unfolding of causal change -- to an operational model of cognitive and social dynamics. The framework deliberately separates three claims: an interpretive thesis about becoming, a measurable causal-progress coordinate, and a stochastic network model. Causal progress is defined by $τ(t)=\int_0^tλ(s\mid\mathcal H_s)\,{\rm d}s$, where the nonnegative event intensity $λ$ must be specified independently of the outcome. Agents carry an orientation phase and an activation amplitude; weighted interaction, heterogeneous drift, external input, anchoring, and diffusion govern their evolution in $τ$. First- and second-harmonic order parameters separate consensus from bipolar polarization. For the all-to-all noisy Kuramoto special case with Lorentzian drift width $Δ$, synchronization begins at the conditional threshold $K_c = 2(Δ+ D)$, not at a universal constant. Reproducible numerical illustrations illustrate (not empirically demonstrate) this threshold, causal-clock curve collapse, and the consensus-polarization distinction. Six historical episodes are treated as scope probes rather than validation data. The paper derives falsifiable hypotheses and an out-of-sample protocol for comparing causal-progress and chronological-time models. TCU is therefore offered as a disciplined bridge between process ontology and complex-systems modeling, not as a replacement for spacetime physics or as an empirically established identity between time and causation.
