Science advances not only by accumulating discovered patterns but by changing how new problems and solutions are expressed. While structural indicators track scholarly attention, they offer only an indirect proxy for the reorganization of meaning. We propose a semantic geometry based on the R-P-C (references, focal publication, and citing publications) framework to quantify how a publication positions itself relative to its knowledge base and diffusion. This geometry identifies three publication types: consolidating, exploratory and balanced. Our results show that the semantic similarity and distance between a publication's knowledge base and diffusion serve as a semantic foundation for disruption, with novelty (atypical reference combinations) acting as an antecedent disturbance that triggers a semantic rupture. This is related to team size, where small teams preserve a higher potential for exploratory departures while large collaborations systematically align with paradigmatic consolidation. Crucially, this geometry explains why citation trajectories differ; consolidating research earns rapid recognition by lowering comprehension costs, while exploratory work faces high paradigm conversion costs that result in slower, more selective diffusion. Collectively, this R-P-C framework provides a robust instrument for monitoring the dynamics of scientific paradigms.

翻译：科学进步不仅依赖于累积已发现的模式，更在于改变新问题与新解决方案的表达方式。尽管结构指标能够追踪学术关注度，但它们仅能间接反映意义重组的过程。我们提出一种基于R-P-C（参考文献、焦点出版物与施引文献）框架的语义几何结构，用以量化出版物在其知识基础与传播扩散中的相对定位。该几何结构识别出三种出版类型：巩固型、探索型与平衡型。研究结果表明，出版物知识基础与传播扩散之间的语义相似度与距离，构成了颠覆性的语义基础，其中新颖性（非典型参考文献组合）作为触发语义断裂的前序扰动。这一现象与团队规模相关：小团队保持更高的探索性偏离潜力，而大规模合作则系统地倾向于范式巩固。至关重要的是，该几何结构解释了为何引用轨迹存在差异：巩固型研究通过降低理解成本获得快速认可，而探索型研究面临较高的范式转换成本，导致更缓慢、更具选择性的扩散。综合而言，R-P-C框架为监测科学范式动态提供了强有力的工具。