Ervin Goldfain. On Complex Dynamics and Primordial Gravity
Natural Sciences / Physics / Gravitation Theory (Relativity)
Submitted on: Dec 17, 2024, 18:30:56
Description: 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.