Crowd Dynamics and Behavior

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"Pandora's Box" is the first universal formula that proves the crowd, the market, the climate, the fluid or the universe itself is a living autonomous organism that flips by itself — without a permanent leader — as soon as the accumulated energy (V), saturated by collective traumatic memory (M), encounters a violent imbalance (O(t)×D(t)). It reveals that revolutions, panics, crashes, climate collapses or cosmic singularities never come out of nowhere: they were already breath

This methodology models the collective behavior of crowds through the CDF universality formula, considering the crowd as a self-regulated, leaderless entity influenced by attraction, repulsion, memory, and emotional energy. The phases include: - attraction and repulsion (psychological stabilizers based on thresholds and memory), - emotional amplification (euphoria, panic, saturation through volume and feedback loops), - and dynamic imbalances (inertia or amplified temporal in

The Universal Dynamic Convergence Formula for Probabilistic Prediction of the AMOC Tipping Point (UCD-AMOC) is a probabilistic framework adapted from the Stommel model, designed to model the collapse of the Atlantic Meridional Overturning Circulation (AMOC) under noise and bistability. It integrates parameters such as salinity thresholds (S), hydraulic resistances (R), ocean volumes (V), flow divergences/convergences (D/C), time cycles (T), dynamic memory (M), energy density

This work presents an innovative probabilistic approach to solving the regularity problem of incompressible Navier-Stokes equations in 3D, by reformulating fluid dynamics via a multi-scale state function P(t). The modeling relies on P(t) = A ψ(S, R, V, D[D_cond, D_act], C, T, M) ⋅ [O(t) ⋅ D(t)], integrating multi-scale interactions, instabilities, and energy dissipation, with a dynamic memory M to stabilize turbulence. Analytical derivations prove equivalence to the Navier-St