Physics of Biology

    

Modeling the Social Apathy: Stochastic Dynamics of Opinion Under Contradictory Stimulation

Authors: Renato Vieira Dos Santos

This paper develops a stochastic dynamical model to investigate the psychological impact of exposure to contradictory information, a prevalent feature of modern media ecosystems. We formalize ``contradictory stimulation'' as stochastic noise in a model of emotional state dynamics. Our analysis reveals two key regimes: high-intensity contradiction drives individuals towards textbf{stable apathy}, while specific parameter combinations produce textbf{bimodal polarization}, where psychological states oscillate randomly between euphoria and lethargy. These results provide a mathematical basis for sociological phenomena like anomie and offer a novel mechanism for emergent polarization from a uniform information stream. The study establishes a theoretical framework for generating testable hypotheses about the effects of information chaos on political engagement and psychological well-being.

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[v1] 2026-01-22 21:17:59

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