Structural Thresholds in Information-Dense Systems: Cognitive Saturation, Organizational Fragility and Governance Irreversibility

This preprint develops a formal structural model of threshold dynamics in information-dense governance systems. While information is traditionally conceptualized as a stabilizing resource that enhances anticipatory capacity, this paper demonstrates that informational accumulation may induce regime transitions when integrative capacity and organizational structure are taken into account. The framework introduces three coupled ratios: informational pressure R(t)=I(t)/C(t)R(t) = I(t)/C(t)R(t)=I(t)/C(t), organizational amplification S(t)=I(t)⋅O(t)S(t) = I(t)\cdot O(t)S(t)=I(t)⋅O(t), and operability κ(t)=E(t)/D(t)\kappa(t) = E(t)/D(t)κ(t)=E(t)/D(t). It shows that beyond critical thresholds, informational systems exhibit concave integration dynamics, marginal utility inversion, cascading instability, and cumulative structural irreversibility. By modeling anticipatory governance systems as nonlinear dynamical architectures, the paper reframes information not solely as a resource but as a constraint-generating variable capable of transforming decision-space geometry. The framework provides a formal foundation for analyzing internal tipping points in complex organizational systems operating under informational acceleration.