Nonassociativity, supersymmetry, and hidden variables
Journal Article
·
· Journal of Mathematical Physics
- Department of Physics and Microelectronics Engineering, Kyrgyz-Russian Slavic University, Bishkek, Kievskaya Str. 44, 720021 Kyrgyz (Russian Federation)
It is shown that the supersymmetric quantum mechanics has an octonionic generalization. The generalization is based on the inclusion of quaternions into octonions. The elements from the coset octonions/quaternions are unobservables because they cannot be considered as quantum operators as a consequence of their nonassociative properties. The idea that the octonionic generalization of the supersymmetric quantum mechanics describes an observable particle formed with unobservable ''particles'' is presented.
- OSTI ID:
- 21100255
- Journal Information:
- Journal of Mathematical Physics, Vol. 49, Issue 4; Other Information: DOI: 10.1063/1.2907868; (c) 2008 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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