Hypernumbers and quantum field theory with a summary of physically applicable hypernumber arithmetics and their geometries

DOI10.1016/0096-3003(80)90016-8zbMath0439.17011OpenAlexW2018031162WikidataQ128109926 ScholiaQ128109926MaRDI QIDQ1142279

S. H. Smith

Publication date: 1980

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(80)90016-8

zbMATH Keywords

quantum field theorygravitation theoryhypernumbers

Mathematics Subject Classification ID

Axiomatic quantum field theory; operator algebras (81T05) Quantum field theory; related classical field theories (81T99) Electromagnetic fields in general relativity and gravitational theory (83C50) Kaluza-Klein and other higher-dimensional theories (83E15) Other nonassociative rings and algebras (17D99)

Related Items (15)

Signature of gravity in conic sedenions ⋮ Gravity and electromagnetism on conic sedenions ⋮ Hypernumbers and relativity ⋮ Modular parts of a function ⋮ Circular and hyperbolic quaternions, octonions, and sedenions - further results ⋮ Finite Fourier series ⋮ Dirac equation on hyperbolic octonions ⋮ Circular and hyperbolic quaternions, octonions, and sedenions ⋮ Comment on a paper by Z-Z. Zhong [J. Math. Phys. 2 6, 404 (1985)] ⋮ Sedenionic formulation for the field equations of multifluid plasma ⋮ Sedenionic formulation for generalized fields of dyons ⋮ Elliptic complex numbers with dual multiplication ⋮ Hypernumbers. II. Further concepts and computational applications ⋮ Hypernumbers and time operators ⋮ Hypernumbers applied or how they interface with the physical world

Cites Work

• Applied hypernumbers. Computational concepts
• Hypernumbers. II. Further concepts and computational applications
• Integral Cayley numbers
• Cybernetics, the conscience of science Studies of interactions between physical and sociopolitical feedbacks and the theory behind them
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