Beyond Linear Thresholds: A Formal Solution to Methodological Gaps in the Concepts of Kuran, Granovetter, and Guriev–Treisman

Classical sociological and political-economic models of mass behaviour (M. Granovetter's threshold models and T. Kuran's preference falsification), as well as contemporary theories of informational autocracies (S. Guriev, D. Treisman), encounter a number of methodological 'blind spots'. These include: the paradox of the unpredictability of cascades (the catalytic phase), the non-linearity of the transition from private preferences to public action, and the problem of quantifying 'information noise' and autocratic control. This paper demonstrates how the conceptual apparatus of the Timofeev model — comprising a three-level architecture of social time, a non-commutative (anhomomorphic) logic of contexts, and entropic metrics of system states — closes these gaps, offering a unified formal-mathematical language for describing the macro-micro transition in sociology. This technical note is part of a broader research programme; it builds directly on the three-level architecture and its appendices (Timofeev, 2025a, 2025c), the factor-entropy protocol (Timofeev, 2026a), the empirical CHSH test on ESS9 data (Timofeev, 2026b), and the causal-set formalism (Timofeev, 2026d). See Related identifiers below for direct links.