arXiv:2607.18620physics.soc-phcs.AI2026-07

用因果进程时间建模集体行为,揭示同步与极化的临界条件。

Temporal-Causal Unity as an Operational Framework for Collective Dynamics: Causal-Progress Clocks, Synchronization, and Polarization

  • 以因果进程τ为时间坐标,定义动态演化机制
  • 同步阈值为K_c = 2(Δ + D),非固定常数
  • 适用于社会共识、极化等复杂系统研究

本文提出时序-因果统一性(TCU)框架,将过程哲学中‘时间是因果演化的有序展开’这一观点,转化为认知与社会动态的可操作模型。该框架明确区分三个主张:关于生成的解释性论断、可测量的因果进展坐标、以及随机网络模型。因果进展定义为τ(t)=∫₀ᵗλ(s∣ℋₛ)ds,其中事件强度λ需独立于结果指定。个体携带相位与激活振幅;加权交互、异质漂移、外部输入、锚定和扩散决定其在τ上的演化。一阶与二阶序参量区分一致性共识与双极极化。全连接噪声柯尔莫戈洛夫模型中,同步起始于条件阈值K_c = 2(Δ + D),而非普适常数。数值模拟再现了此阈值、因果钟曲线坍缩及共识-极化区分。六段历史案例作为范围探测,非实证验证。论文推导出可证伪假设与跨样本比较协议。因此,TCU被视为过程本体论与复杂系统建模之间的严谨桥梁,而非时空物理替代品或时间与因果的实证同一性。

原文摘要 · Abstract (English)

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.

因果建模集体动力学同步极化

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