Circular and hyperbolic quaternions, octonions, and sedenions - further results
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Publication:1363818
DOI10.1016/S0096-3003(96)00051-3zbMath0936.11025MaRDI QIDQ1363818
Publication date: 19 May 2000
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Related Items (24)
Signature of gravity in conic sedenions ⋮ Gravity and electromagnetism on conic sedenions ⋮ Hypernumbers and relativity ⋮ Dirac equation on hyperbolic octonions ⋮ Generalized hyperbolic octonion formulation for the fields of massive dyons and gravito-dyons ⋮ Octonic massless field equations ⋮ Polar coordinate expression of hyperholomorphic functions on split quaternions in Clifford analysis ⋮ Klein and conformal superspaces, split algebras and spinor orbits ⋮ Sedeonic equations of ideal fluid ⋮ Hyperbolic octonion formulation of gravitational field equations ⋮ Sedenionic formulation for the field equations of multifluid plasma ⋮ Sedenionic formulation for generalized fields of dyons ⋮ Multifluid plasma equations in terms of hyperbolic octonions ⋮ SEDEONIC GENERALIZATION OF RELATIVISTIC QUANTUM MECHANICS ⋮ IDENTITIES FOR ALGEBRAS OBTAINED FROM THE CAYLEY-DICKSON PROCESS ⋮ Gauge invariance of sedeonic equations for massive and massless fields ⋮ Reformulation of electromagnetic and gravito-electromagnetic equations for Lorentz system with octonion algebra ⋮ Sedenions: Algebra and analysis ⋮ Relationship graphs of real Cayley-Dickson algebras ⋮ Toy models of a nonassociative quantum mechanics ⋮ Quaternionic representation of electromagnetism for material media ⋮ Split-quaternions and the Dirac equation ⋮ OCTONIC GRAVITATIONAL FIELD EQUATIONS ⋮ An efficient method for solving equations in generalized quaternion and octonion algebras
Cites Work
- Circular and hyperbolic quaternions, octonions, and sedenions
- Hypernumbers and quantum field theory with a summary of physically applicable hypernumber arithmetics and their geometries
- Applied hypernumbers. Computational concepts
- Hypernumbers. II. Further concepts and computational applications
- Hypernumbers applied or how they interface with the physical world
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