Stability of the Fermi Scale from the KAM Theorem

Abstract

We have shown over recent years that the dynamics of quantum fields is likely to slide outside equilibrium above the Fermi scale of electroweak interactions. In proximity to this scale, spacetime dimensionality flows with the probing energy and leads to the concept of minimal fractal manifold (MFM). The goal of this brief report is to combine the MFM conjecture with the transition to chaos in nearly-integrable Hamiltonian systems. In doing so, we find that the KAM theorem can conceivably explain the stability of the Fermi scale in the low TeV sector.