Crowd Dynamics and Behavior

These two documents establish a unified and closed scientific framework for understanding artificial intelligence as a governable complex system. They redefine AI not as a computational tool, but as a collective dynamic structure driven by propagation, accumulation, and memory. The system evolves through non-Markovian dynamics where each state depends on its trajectory and accumulated interactions. Propagation ω(t) acts as the primary driver, generating accumulation Σ(t), whi

Toward a Unified Understanding of Complex Systems This corpus proposes a unified reading of complex systems based on the conditions of emergence, transformation, stability, and loss of coherence. Rather than beginning with observable phenomena, it focuses on the latent dynamics that make those phenomena possible and govern their evolution through time. Within this perspective, reality is not considered a fixed or directly accessible entity. Observable states emerge as tempora

The Double-Slit project proposes a reinterpretation of the experiment through a structural and constraint-based framework. It challenges the classical wave-particle duality by introducing memory-constrained observability. The framework suggests that what is observed depends on the system’s internal memory and constraints. It explores how observation itself participates in the formation of reality. Rather than collapsing a wave function, the system undergoes a regime selecti

Endogenously-Constrained AI (ECA) proposes a new paradigm for designing stable and governable artificial intelligence systems. It shifts the focus from performance optimization to internal structural coherence and constraint-based stability. ECA models AI systems as complex adaptive systems subject to endogenous limits. The framework emphasizes that intelligence must remain bounded to avoid instability and drift. It introduces constraint operators that regulate system behavio

The Cosmological-Quantum Unification Formula (UCQ) proposes a unified theoretical framework to model the probability P(t) of convergence toward privileged states in cosmology and quantum mechanics, integrating a wave function ψ[ϕ(t), gμν(t), M(t), O(t)], an effective action S_eff, a complementary Lagrangian L_comp to regularize singularities, and a certainty term L_cert to reduce uncertainty. The dynamic memory M(t), enriched with temporal cycles, captures non-local effects,