Complex geometry, unification, and quantum gravity. I : The geometry of elementary particles
The Poincare group is replaced by U(3,2), the pseudounitary extension of the de Sitter group SO(3,2), as internal and space-time symmetries are combined in a geometric setting which invalidates the no-go theorems. A new model of elementary particles as vertical vectors on the principal fiber bundle...
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Veröffentlicht in: | International journal of theoretical physics 1993, Vol.32 (1), p.63-88 |
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description | The Poincare group is replaced by U(3,2), the pseudounitary extension of the de Sitter group SO(3,2), as internal and space-time symmetries are combined in a geometric setting which invalidates the no-go theorems. A new model of elementary particles as vertical vectors on the principal fiber bundle U(3,2) [yields] U(3,2)/U(3,1) [times] U(1) is introduced and their interactions via Lie bracket analyzed. The model accounts for the four known superselection rules: spin, electric charge, baryon number, and lepton number. |
doi_str_mv | 10.1007/BF00674397 |
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R</creatorcontrib><title>Complex geometry, unification, and quantum gravity. I : The geometry of elementary particles</title><title>International journal of theoretical physics</title><description>The Poincare group is replaced by U(3,2), the pseudounitary extension of the de Sitter group SO(3,2), as internal and space-time symmetries are combined in a geometric setting which invalidates the no-go theorems. A new model of elementary particles as vertical vectors on the principal fiber bundle U(3,2) [yields] U(3,2)/U(3,1) [times] U(1) is introduced and their interactions via Lie bracket analyzed. The model accounts for the four known superselection rules: spin, electric charge, baryon number, and lepton number.</description><subject>ANGULAR MOMENTUM</subject><subject>BARYON NUMBER</subject><subject>ELEMENTARY PARTICLES</subject><subject>Exact sciences and technology</subject><subject>FIELD THEORIES</subject><subject>General relativity and gravitation</subject><subject>GEOMETRY</subject><subject>MATHEMATICAL MODELS</subject><subject>MATHEMATICS</subject><subject>PARTICLE PROPERTIES</subject><subject>Particle Systematics-- Unified Theories & Models-- (1992-)</subject><subject>Physics</subject><subject>PHYSICS OF ELEMENTARY PARTICLES AND FIELDS</subject><subject>QUANTUM FIELD THEORY</subject><subject>QUANTUM GRAVITY</subject><subject>SELECTION RULES 662210 -- Specific Theories & Interaction Models</subject><subject>SPACE-TIME</subject><subject>SPIN</subject><subject>SUPERSELECTION RULES</subject><issn>0020-7748</issn><issn>1572-9575</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1993</creationdate><recordtype>article</recordtype><recordid>eNpFkMFLwzAYxYMoOKcX_4IgnmSdX9o0abzpcDoYeJk3oWTply3SprPJxP33Vifz9Hjwe4_HI-SSwZgByNuHKYCQPFPyiAxYLtNE5TI_JgOAFBIpeXFKzkJ4BwAFvBiQt0nbbGr8oitsG4zdbkS33llndHStH1HtK_qx1T5uG7rq9KeLuzGd0Tu6WOMhQ1tLscYGfdS92-guOlNjOCcnVtcBL_50SF6nj4vJczJ_eZpN7ueJSSGNiamEAmBSKMmkFTkqNFIrXsmqsFDppbZQYM4FmiIVqARjsExZoYVRWOU8G5KrfW8boiuDcRHN2rTeo4nlb3fGeuhmD5muDaFDW2461_R7Swblz3nl_3k9fL2HNzoYXdtOe-PCIcG5gDTPsm8VmW3Q</recordid><startdate>1993</startdate><enddate>1993</enddate><creator>LOVE, T. 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subjects | ANGULAR MOMENTUM BARYON NUMBER ELEMENTARY PARTICLES Exact sciences and technology FIELD THEORIES General relativity and gravitation GEOMETRY MATHEMATICAL MODELS MATHEMATICS PARTICLE PROPERTIES Particle Systematics-- Unified Theories & Models-- (1992-) Physics PHYSICS OF ELEMENTARY PARTICLES AND FIELDS QUANTUM FIELD THEORY QUANTUM GRAVITY SELECTION RULES 662210 -- Specific Theories & Interaction Models SPACE-TIME SPIN SUPERSELECTION RULES |
title | Complex geometry, unification, and quantum gravity. I : The geometry of elementary particles |
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