Scholar Ervin Goldfain has posted a new preprint on ResearchGate. This study finds a link between the Schrödinger equation, the complex Ginzburg-Landau equation (CGLE), and geodesic deviation in General Relativity. It suggests that in the early chaotic universe, gravity and system disorder (Kolmogorov entropy) are connected, offering a new path toward unifying physical forces beyond traditional theories.
Abstract:
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.
Read the full pre-print on ResearchGate
To learn more about Ervin visit his Scholar Finder profile.
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