Mathematical Physics

    

On Complex Dynamics and the Schrodinger Equation

Authors: Ervin Goldfain

Complex Ginzburg-Landau equation (CGLE) is a paradigm of complex dynamics that holds for all spatially extended systems near the onset of oscillatory behavior. CGLE applies to a vast array of phenomena ranging from superconductivity and superfluidity, to Bose-Einstein condensation, astrophysics, nonlinear optics and spatiotemporal chaos. In particular, CGLE describes the formation of dissipative spacetime structures in Reaction-Diffusion (RD) processes. Here we bridge the gap between CGLE and the RD model of evolving dimensional fluctuations, the latter being conjectured to arise far above the electroweak scale. Our findings open an intriguing path connecting complex dynamics of dimensional fluctuations to Quantum Physics.

Comments: 16 Pages.

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Submission history

[v1] 2024-11-29 01:51:41
[v2] 2024-12-02 13:32:57
[v3] 2024-12-08 03:19:32

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