Chaotic equation of prime number distribution

dz/dt = (1/ln t)·z² - (2/ln t)·z̄ + γ·sin(γ₁t) + δ·η(t) This is a non-autonomous dynamical system defined on the complex plane, with each term's structure corresponding to mathematics/physics as follows:Term | Expression | Mathematical Correspondence | Parameter SourceCore Quadratic Term | (1/ln t)·z² | Nonlinear self-interaction generating chaotic orbit singularities | Coefficient 1/ln t converges via the Prime Number TheoremDual Constraint Term | - (2/ln t)·z̄ | Commutator of Hermitian operators [H, z], enforcing convergence on the critical line | Coefficient 2 converges via GUE rigidityPeriodic Driving Term | γ·sin(γ₁t) | External driving injecting the fundamental frequency of the Riemann spectrum | γ₁ ≈ 14.1347 (first zero)Noise Term | δ·η(t) | Ornstein-Uhlenbeck process, reproducing GUE microscopic fluctuations | δ ≈ 0.03, converges via GUE fluctuation amplitude The relevant program is an initial version generated by AI. If it does not fit, please adjust it to match on your own.