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Geometric Foundation of Spin and Isospin

1996/07/01 by Ludger Hannibal, Hannibal, Ludger
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic and Geometric Analysis #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Noncommutative and Quantum Gravity Theories #Quantum Physics (quant-ph) #gr-qc #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/9607001

9 pages Latex

arxiv created 1996/07/01 · openalex publication_date 1996/07/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Various theories of spinning particles are interpreted as realizing elements of an underlying geometric theory. Classical particles are described by trajectories on the Poincare group. Upon quantization an eleven-dimensional Kaluza-Klein type theory is obtained which incorporates spin and isospin in a local SL(2,C) x U(1) x SU(2) theory with broken U(1)x SU(2) part.

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