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标题: "Cross-Cutting Exposure as an Engine of Radicalization: Platform Design, Attention, and Geography in a Stochastic Multiplex Model of Opinion Dynamics"
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## Physics > Physics and Society

## Title:Cross-Cutting Exposure as an Engine of Radicalization: Platform Design, Attention, and Geography in a Stochastic Multiplex Model of Opinion Dynamics

Authors:[Ruben E. Araújo](https://arxiv.org/search/physics?searchtype=author&query=Ara%C3%BAjo,+R+E)

[View PDF](https://arxiv.org/pdf/2608.10968) [HTML (experimental)](https://arxiv.org/html/2608.10968v1)

> Abstract:Do social-media platforms polarize because they hide disagreement, or because they expose people to it? We study a continuous-time model in which agents diffuse in physical space by Brownian motion while interacting through an adaptive, algorithmically curated digital network under a finite attention budget. When influence is purely assimilative (bounded confidence), opinion-blind long-range exposure heals locality-induced fragmentation and algorithmic homophily builds echo chambers. Once influence includes a repulsive response to strongly opposed views, the ranking of platform designs inverts: a neutral, uncurated platform drives maximal polarization with opinions pinned at the extremes; a controversy-seeking engagement algorithm is nearly as radicalizing; and strong algorithmic homophily paradoxically shields the population from extremism. A two-bloc reduction shows that the stationary cross-bloc attention fraction set by the engagement kernel controls the radicalization rate and a finite-horizon crossover $\lambda_c(T)$ in the digital attention share---consistent with simulations, with no parameters fitted to the onset data. Radicalization is thus rate-limited, not threshold-limited. Across repulsion parameters, kernels, and sizes up to $N=1600$, uncurated exposure sets the saturation level of radicalization. A mobility--attention phase diagram shows that once the platform owns most of an agent's attention, physical mobility becomes irrelevant. Under opinion-independent mobility we detect no geographic opinion structure; a Schelling-type homophilic drift of strength $\chi$ restores it only above a Péclet threshold $\chi\ell/D\sim 1$. The model offers a mechanism for field observations in which curated cross-cutting exposure increased polarization, and implies that exposure-diversity interventions can have either sign depending on the prevalence of negative influence.

| Comments: |  |
| --- | --- |
| Subjects: | Physics and Society (physics.soc-ph) |
| Cite as: | [arXiv:2608.10968](https://arxiv.org/abs/2608.10968) \[physics.soc-ph\] |
|  | (or [arXiv:2608.10968v1](https://arxiv.org/abs/2608.10968v1) \[physics.soc-ph\] for this version) |
|  | [https://doi.org/10.48550/arXiv.2608.10968](https://doi.org/10.48550/arXiv.2608.10968) |

## Submission history

From: Ruben Araujo \[[view email](https://arxiv.org/show-email/8fd84a61/2608.10968)\]  
**\[v1\]** Tue, 11 Aug 2026 14:29:46 UTC (1,671 KB)

[Which authors of this paper are endorsers?](https://arxiv.org/auth/show-endorsers/2608.10968) | Disable MathJax ([What is MathJax?](https://info.arxiv.org/help/mathjax.html))
