On Complex Dynamics and Primordial Gravity

We recently pointed out that, under suitably defined conditions, the Schrödinger equation represents a limit case of the _complex Ginzburg-Landau equation_ (CGLE). As generic prototype of complex dynamics, CGLE is naturally tied to _dimensional fluctuations_ conjectured to develop far above the electroweak scale. The goal of this work is to uncover an unforeseen connection between CGLE and the equation of _geodesic deviation_ in General Relativity (GR). This connection is likely to come into play in primordial cosmology, where strongly fluctuating gravitational fields evolve in far-from-equilibrium conditions. Our findings unveil the duality between primordial gravitation and Kolmogorov entropy and suggest a potential gateway towards field unification outside Lagrangian theory.