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
1. Verfasser: LOVE, T. R
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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.
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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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