Research Work

The Riemann Hypothesis states that all non-trivial zeros of the zeta function lie on the critical line Re(s) = 1/2. A dynamic systems approach models these zeros as stable equilibrium points, showing that any deviation leads to instability. Massive numerical tests confirm this distribution up to t ≤ 10¹⁴. Scientific validation is still required to officially establish this resolution.

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, e