High Energy Particle Physics


Multifractal Foundation of Effective Field Theory

Authors: Ervin Goldfain

It was recently shown that, regardless of initial conditions, the long-run of multi-variable Renormalization Group flows is prone to end up on strange attractors. In this context, multifractals (MF) become suitable means for the characterization of effective field theories, in particular the Standard Model of particle physics (SM). It is known that typical MF’s are studied using concepts such as singularity spectrum and Rényi entropy. Exploiting the definition of canonical mass dimension, here we show that the separation of gauge and the Higgs bosons from fermions stems from the underlying geometry of the singularity spectrum. Our analysis supports the view that, near the electroweak scale, SM emerges as topological condensate of multifractal dimensions and that Dark Matter is a manifestation of Cantor Dust.

Comments: 3 Pages. First draft, abstract and plan of work only.

Download: PDF

Submission history

[v1] 2019-02-24 16:54:07

Unique-IP document downloads: 26 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus