High Energy Particle Physics


Bifurcations and the Dynamic Content of Particle Physics

Authors: Ervin Goldfain

We have recently conjectured that the flow from the ultraviolet (UV) to the infrared (IR) sector of any multivariable field theory approaches chaotic dynamics in a universal way. A key assumption of this conjecture is that the flow evolves in far-from-equilibrium conditions and it implies that the end-point attractor of effective field theories replicates the geometry of multifractal sets. Our conclusions are further reinforced here in the framework of nonlinear dynamical systems and bifurcation theory. In particular, it is found that steady-state perturbations near the IR attractor induce formation of Dark Matter structures while oscillatory perturbations lead to the field content of the Standard Model. Key words: Bifurcations, Dynamical Systems, Strange Attractors, Center Manifold Theory, Normal Forms, Standard Model, Cantor Dust.

Comments: 20 Pages. Near completion.

Download: PDF

Submission history

[v1] 2018-08-29 08:38:09
[v2] 2018-09-07 14:43:02
[v3] 2018-09-23 17:21:44
[v4] 2018-09-24 17:14:39
[v5] 2018-09-30 08:15:31
[v6] 2018-10-14 10:13:44
[v7] 2018-10-24 09:24:50

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