Tying knots in particle physics

Fuente: arXiv
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Autori principali: Eto, Minoru, Hamada, Yu, Nitta, Muneto
Natura: Preprint
Pubblicazione: 2024
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author Eto, Minoru
Hamada, Yu
Nitta, Muneto
author_facet Eto, Minoru
Hamada, Yu
Nitta, Muneto
contents Lord Kelvin's pioneering hypothesis that the identity of atoms is knots of vortices of the aether had a profound impact on the fields of mathematics and physics despite being subsequently refuted by experiments. While knot-like excitations emerge in various systems of condensed matter physics, the fundamental constituents of matter have been revealed to be elementary particles such as electrons and quarks, seemingly leaving no room for the appearance of knots in particle physics. Here, we show that knots indeed appear as meta-stable solitons in a realistic extension of the standard model of particle physics that provides the QCD axion and right-handed neutrinos. This result suggests that during the early Universe, a "knot dominated era" may have existed, where knots were a dominant component of the Universe, and this scenario can be tested through gravitational wave observations. Furthermore, we propose that the end of this era involves the collapse of the knots via quantum tunneling, leading to the generation of matter-antimatter asymmetry in the Universe. Our findings exhibit the significant role of knots in particle physics and represent a modern version of Kelvin's hypothesis.
format Preprint
id arxiv_https___arxiv_org_abs_2407_11731
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Tying knots in particle physics
Eto, Minoru
Hamada, Yu
Nitta, Muneto
High Energy Physics - Phenomenology
Cosmology and Nongalactic Astrophysics
Superconductivity
High Energy Physics - Theory
Lord Kelvin's pioneering hypothesis that the identity of atoms is knots of vortices of the aether had a profound impact on the fields of mathematics and physics despite being subsequently refuted by experiments. While knot-like excitations emerge in various systems of condensed matter physics, the fundamental constituents of matter have been revealed to be elementary particles such as electrons and quarks, seemingly leaving no room for the appearance of knots in particle physics. Here, we show that knots indeed appear as meta-stable solitons in a realistic extension of the standard model of particle physics that provides the QCD axion and right-handed neutrinos. This result suggests that during the early Universe, a "knot dominated era" may have existed, where knots were a dominant component of the Universe, and this scenario can be tested through gravitational wave observations. Furthermore, we propose that the end of this era involves the collapse of the knots via quantum tunneling, leading to the generation of matter-antimatter asymmetry in the Universe. Our findings exhibit the significant role of knots in particle physics and represent a modern version of Kelvin's hypothesis.
title Tying knots in particle physics
topic High Energy Physics - Phenomenology
Cosmology and Nongalactic Astrophysics
Superconductivity
High Energy Physics - Theory
url https://arxiv.org/abs/2407.11731