Tying Knots in Particle Physics

Knots emerge in various fields of mathematics and physics today. We show that knots indeed appear as 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.

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Publication Details

Journal
Physical Review Letters
Published
2025-08-29
DOI
https://doi.org/10.1103/s3vd-brsn
Citations
6
Primary Topic
Black Holes and Theoretical Physics
Type
article
Field-Weighted Citation Impact
11.22

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article

Tying Knots in Particle Physics

Yu Hamada, Muneto Nitta, Minoru Eto
6 citations
Physical Review Letters
Black Holes and Theoretical Physics
11.22
article

Tying Knots in Particle Physics

Yu Hamada, Muneto Nitta, Minoru Eto
article en
6 citations

Abstract

Knots emerge in various fields of mathematics and physics today. We show that knots indeed appear as 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.

Physical Review LettersVol. 135(9)
Yamagata University (JP), Hiroshima University (JP), Keio University (JP), Deutsches Elektronen-Synchrotron DESY (DE), Hiroshima International University (JP), Yamagata University Hospital (JP)
Deutsche Forschungsgemeinschaft, Yukawa Institute for Theoretical Physics, Kyoto University, Japan Society for the Promotion of Science
Openalex Percentile: Top 2%
Black Holes and Theoretical Physics
11.22
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