physics.soc-phJan 20, 2026

Generating consensus and dissent on massive discussion platforms with a semantic-vector model

Authors: A. FerrerD. Muñoz-JordánA. RiveroA. TarancónC. TarancónD. Yllanes

Organizations: Instituto de Biocomputación y Física de Sistemas Complejos (BIFI), Universidad de Zaragoza, 50018 Zaragoza, Spain · Kampal Data Solutions, WTCZ, Avda. Maria Zambrano 31, 50018 Zaragoza, Spain · Departamento de Física Teórica, Universidad de Zaragoza, 50009 Zaragoza, Spain · Zaragoza Scientific Center for Advanced Modeling (ZCAM), 50018 Zaragoza, Spain · Fundación ARAID, Diputación General de Aragón, 50018 Zaragoza, Spain

Abstract

Reaching consensus on massive discussion networks is critical for reducing noise and achieving optimal collective outcomes. However, the natural tendency of humans to preserve their initial ideas constrains the emergence of global solutions. To address this, Collective Intelligence (CI) platforms facilitate the discovery of globally superior solutions. We introduce a dynamical system based on the standard O(N)O(N) model to drive the aggregation of semantically similar ideas. The system consists of users represented as nodes in a d=2d=2 lattice with nearest-neighbor interactions, where their ideas are represented by semantic vectors computed with a pretrained embedding model. We analyze the system's equilibrium states as a function of the coupling parameter ββ. Our results show that β>0β> 0 drives the system toward a ferromagnetic-like phase (global consensus), while β<0β< 0 induces an antiferromagnetic-like state (maximum dissent), where users maximize semantic distance from their neighbors. This framework offers a controllable method for managing the tradeoff between cohesion and diversity in CI platforms.

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