Version 1
: Received: 5 March 2024 / Approved: 5 March 2024 / Online: 6 March 2024 (10:15:05 CET)
How to cite:
Bodnia, E. Fiber Structure and Stability Theorems for Symmetry Breaking Transitions. Preprints2024, 2024030311. https://doi.org/10.20944/preprints202403.0311.v1
Bodnia, E. Fiber Structure and Stability Theorems for Symmetry Breaking Transitions. Preprints 2024, 2024030311. https://doi.org/10.20944/preprints202403.0311.v1
Bodnia, E. Fiber Structure and Stability Theorems for Symmetry Breaking Transitions. Preprints2024, 2024030311. https://doi.org/10.20944/preprints202403.0311.v1
APA Style
Bodnia, E. (2024). Fiber Structure and Stability Theorems for Symmetry Breaking Transitions. Preprints. https://doi.org/10.20944/preprints202403.0311.v1
Chicago/Turabian Style
Bodnia, E. 2024 "Fiber Structure and Stability Theorems for Symmetry Breaking Transitions" Preprints. https://doi.org/10.20944/preprints202403.0311.v1
Abstract
We discuss three key points: defining mathematically the notions of phase, symmetry breaking, topological defects and their stability in a formal language of homotopy theory and fiber bundle formalism; postulating and proving two theorems for successive symmetry breaking scenarios in condensed matter physics and cosmology, and demonstrating application of theorems to superfluid Helium 3 and Kibble-Lazarides-Shafi (KLS) walls, supporting and mathematically justifying the results of [Volovik, 2020].
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.