{"title":"基本粒子在SU(2)高同伦Hopf群中的结","authors":"Brian Jonathan Wolk","doi":"10.1016/j.physo.2025.100269","DOIUrl":null,"url":null,"abstract":"<div><div>Twelve of the fifteen prime knots with seven or less crossings taken as inclusions in the higher homotopic Hopf group of <span><math><mrow><mi>S</mi><mi>U</mi><mrow><mo>(</mo><mn>2</mn><mo>)</mo></mrow></mrow></math></span> are used to delineate and distinguish the twelve Standard Model quarks and leptons. These knot inclusions set the generational assignment of the quarks and leptons and permit the conjecture that knot hyperbolic volume hierarchy controls the physical mass hierarchy of the elementary particles. The hierarchy conjecture permits a postulate regarding the Yukawa couplings.</div></div>","PeriodicalId":36067,"journal":{"name":"Physics Open","volume":"23 ","pages":"Article 100269"},"PeriodicalIF":0.0000,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The elementary particles as knots in the SU(2) higher homotopy Hopf group\",\"authors\":\"Brian Jonathan Wolk\",\"doi\":\"10.1016/j.physo.2025.100269\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>Twelve of the fifteen prime knots with seven or less crossings taken as inclusions in the higher homotopic Hopf group of <span><math><mrow><mi>S</mi><mi>U</mi><mrow><mo>(</mo><mn>2</mn><mo>)</mo></mrow></mrow></math></span> are used to delineate and distinguish the twelve Standard Model quarks and leptons. These knot inclusions set the generational assignment of the quarks and leptons and permit the conjecture that knot hyperbolic volume hierarchy controls the physical mass hierarchy of the elementary particles. The hierarchy conjecture permits a postulate regarding the Yukawa couplings.</div></div>\",\"PeriodicalId\":36067,\"journal\":{\"name\":\"Physics Open\",\"volume\":\"23 \",\"pages\":\"Article 100269\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2025-05-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physics Open\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2666032625000195\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"Physics and Astronomy\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physics Open","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2666032625000195","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Physics and Astronomy","Score":null,"Total":0}
The elementary particles as knots in the SU(2) higher homotopy Hopf group
Twelve of the fifteen prime knots with seven or less crossings taken as inclusions in the higher homotopic Hopf group of are used to delineate and distinguish the twelve Standard Model quarks and leptons. These knot inclusions set the generational assignment of the quarks and leptons and permit the conjecture that knot hyperbolic volume hierarchy controls the physical mass hierarchy of the elementary particles. The hierarchy conjecture permits a postulate regarding the Yukawa couplings.