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Chaotic quantization and the parameters of the standard model

2003/05/20 by Christian Beck, Beck, Christian
Physics and Astronomy · #Astrophysics (astro-ph) #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Quantum Mechanics and Applications #Quantum chaos and dynamical systems #Statistical Mechanics and Entropy #astro-ph #hep-ph #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0305173

13 pages, 6 figures. Invited contribution presented at the Idea-Finding Symposium of the Frankfurt Institute for Advanced Studies (Frankfurt, Germany, April 15-17, 2003). To appear in the proceedings

arxiv created 2003/05/20 · openalex publication_date 2003/05/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the chaotic quantization approach one replaces the Gaussian white noise of the Parisi-Wu approach of stochastic quantization by a deterministic chaotic process on a very small scale. We consider suitable coupled chaotic noise processes as generated by Tchebyscheff maps, and show that the vacuum energy of these models is minimized for coupling constants that coincide with running standard model couplings at energy scales given by the known fermion and boson masses. Chaotic quantization thus allows to predict fundamental constants of nature from first principles. At the same time, it provides a natural framework to understand the dynamical origin of vacuum energy in our universe.

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