arXiv:2605.16719physics.soc-phcs.AI2026-05

跨领域发现科学与技术进步的通用规律,揭示突破性创新与渐进改进的协同机制。

Universal Dynamics of Punctuated Progress

论文配图:Universal Dynamics of Punctuated Progress
图 1 · 摘自论文原文
  • 构建包含680万解、6700任务的多领域数据集,发现进展具有重尾等待时间特征。
  • 前沿突破积累速率介于对数与线性之间,记录事件存在短期可预测但长期不可预测的关联。
  • 提出可解析求解的最小模型,融合激进重构与渐进优化,解释所有观测规律。

科学与技术前沿通过间断式动态演进,但其背后的原理仍不清晰。本文收集并分析了涵盖材料发现、结构生物学、人工智能、计算生物医学、数据科学、理论计算机科学、一级方程式赛车和物理轮子制造等9个领域的数据集,追踪了680万次解决方案应对6700项任务的演化过程。研究发现三个普遍模式:(1)新前沿之间的等待时间呈现重尾分布,大多数尝试集中在长期停滞期;(2)前沿记录以亚线性速率累积,增速快于对数增长但慢于线性增长;(3)突破事件存在时间相关性,带来短期可预测性却导致长期不可预测性。尽管各领域尺度、范围和定义各异,这些模式在所有研究领域中高度一致,且无法被复杂系统、记录统计、创新经济学或文化演化模型所捕捉。我们追溯缺失因素在于激进创新与渐进创新的区别,并提出一个最小化、可解析求解的模型,同时包含重塑可行性的激进重置与利用现有前沿的渐进优化。该模型能重现全部三项经验规律。令人惊讶的是,主导级预测与参数无关,揭示了一种新的普适性类,为开放度与前沿解获取如何影响进展速度提供了可检验预测。总体而言,结果揭示了间断式进步的普遍动力学,并指出激进重置与渐进优化的相互作用是推动科学与技术前沿发展的关键驱动力。

原文摘要 · Abstract (English)

Scientific and technological frontiers advance through punctuated dynamics, yet the principles governing these dynamics remain poorly understood. Here we collect and analyze datasets tracking the evolution of frontiers across 9 different domains, spanning materials discovery, structural biology, AI, computational biomedicine, data science, theoretical computer science, Formula-1 racing, and physical wheel building. Analyzing 6.8M solutions to 6.7K tasks, we uncover three universal patterns: (1) waiting times between new frontiers are heavy-tailed, with most attempts concentrated in long stasis; (2) frontier records accumulate at a sublinear rate, faster than logarithmic yet slower than linear growth; (3) record-breaking events are temporally correlated, generating short-term predictability yet long-term unpredictability. Despite the differences in the scale, scope, and definition of the settings, these patterns are remarkably consistent across all domains we study, and are not captured by models from complex systems, record statistics, economics of innovation, and cultural evolution. We trace the missing ingredient to the distinction between radical and incremental innovation, and develop a minimal, analytically solvable model incorporating both radical resets that restructure what is achievable and incremental refinements that exploit the current frontier. The simple model reproduces all three empirical regularities. Remarkably, the leading-order predictions are parameter-independent, identifying a new universality class governing punctuated progress and yielding testable predictions about how openness and access to frontier solutions shape the pace of advance. Overall, these results reveal universal dynamics governing punctuated progress and identify the interplay between radical resets and incremental refinements as the key driver of how scientific and technological frontiers advance.

科学演化创新规律普适性模型构建

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