GEOMETRIC CALCULUS AND ELEMENTARY PARTICLES
S>Using Clifford algebra, a coordinate-free geometric calculus for non- Euclidean metric manifolds is developed, in which vectors and spinors appear on equal footing. A simple generalized covariant derivative is introduced, which applies to both vectors and spinors. Gravitational interactions arise from requiring covariance of the derivative under a local gauge group of Lorentz transformatnons. The Clifford algebra D/sub 4/ of space-time is examined in detail, and a geometric basis for isospace is found. Fermions are represented by ideals of D/sub 4/. Complex numbers arise naturally, and it follows that a geometric interpretation can be given to antiparticle conjugation. Several invariant kinds of conjugation'' in D/sub 4/ are found, and their possible physical interpretations are examined in terms of specific models for physical interactions. A model of weak interactions mediated by bosons is examined, in which the asymmetry parameters of hyperon decay are related to a cancellation of amplitudes that change the strangeness of a system by 2. (Dissertation Abstr.)
- Research Organization:
- Originating Research Org. not identified
- NSA Number:
- NSA-18-009207
- OSTI ID:
- 4090305
- Resource Relation:
- Other Information: Thesis. Orig. Receipt Date: 31-DEC-64
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
Similar Records
Extended conformal group, geometrical origin of the internal symmetry of hdrons and grand unification of elementary particle interactions
Bilinear covariants and spinor fields duality in quantum Clifford algebras