Collective Tipping Points: Transitions, Thresholds, and Loss of Governability in Crowd-Based Dynamics

This work is the third core document of the Crowd-Based Dynamics (CBD) framework. It provides a structural and non-event-based analysis of collective tipping points, focusing on transitions, critical thresholds, and the loss of governability in human collective systems. Contrary to dominant event-driven interpretations, this document shows that collective tipping points are not caused by isolated shocks, but result from prolonged cumulative saturation driven by mimetic memory, repeated compensations, and adaptive delay. Observable triggering events act only as late revealers of an already exhausted regime. The text formalizes key mechanisms such as: cumulative saturation, invisibility of early warning signals, critical thresholds and irreversibility, structural loss of governability, the role of time, expertise, and adaptive delay, polarization as an acceleration factor, post-tipping reorganization and regime emergence. These mechanisms are shown to be structural and transversal, applying equally to physical crowds, financial markets, political systems, organizations, and digital environments. This document does not aim at predicting events. Its purpose is to situate collective systems relative to their governability limits, making explicit why late interventions fail and why stability often collapses suddenly after long periods of apparent coherence. Together with the two preceding CBD documents (structural foundations and collective psychological states), this work contributes to a formal, non-normative, and falsifiable framework for understanding collective dynamics, regime transitions, and structural irreversibility.