Extension of quaternionic metrics to octonions
Journal Article
·
· J. Math. Phys. (N.Y.); (United States)
A treatment of a non-Riemannian geometry including internal complex, quaternionic, and octonionic space is made. Then, an interpretation of this geometry for the nonsymmetric theory of Einstein-Schroedinger, and for the unified theory of Borchsenius is showed. Finally, field equations in the extended octonionic geometry of space-time are obtained through a minimal action principle.
- Research Organization:
- Instituto de Fisica Teorica, Rua Pamplona, 145, Sao Paulo, Brazil
- OSTI ID:
- 6156338
- Journal Information:
- J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 26:12; ISSN JMAPA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGEBRA
ASYMMETRY
EINSTEIN-SCHROEDINGER THEORY
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
FUNCTIONS
GENERAL RELATIVITY THEORY
GEOMETRY
GROUP THEORY
LAGRANGIAN FUNCTION
LIE GROUPS
MAPPING
MATHEMATICS
MATRICES
METRICS
POTENTIALS
SPACE-TIME
SPINORS
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
TOPOLOGICAL MAPPING
TRANSFORMATIONS
UNIFIED-FIELD THEORIES
YANG-MILLS THEORY
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGEBRA
ASYMMETRY
EINSTEIN-SCHROEDINGER THEORY
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
FUNCTIONS
GENERAL RELATIVITY THEORY
GEOMETRY
GROUP THEORY
LAGRANGIAN FUNCTION
LIE GROUPS
MAPPING
MATHEMATICS
MATRICES
METRICS
POTENTIALS
SPACE-TIME
SPINORS
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
TOPOLOGICAL MAPPING
TRANSFORMATIONS
UNIFIED-FIELD THEORIES
YANG-MILLS THEORY