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Teoreticheskaya i Matematicheskaya Fizika, 1970, Volume 5, Number 3, Pages 366–371
(Mi tmf4215)
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This article is cited in 1 scientific paper (total in 1 paper)
Discrete transformations in a six-dimensional model of Minkowski space
B. G. Konopelchenko
Abstract:
An analysis of the invariance properties of the equation for a massless particle in the sixdimensional Dirac model reveals the existence of two types of neutrino; these may be called conventionally the plus and minus neutrino. Reflections in the six-dimensional space are intimately connected with the operation $R$:
$$
Rx^{\mu}=\frac{x^{\mu}}{(x,x)}
$$
of inversion in the unit hypersphere in the Minkowski space. An operation $K$ which transforms a plus neutrino into a minus neutrino and vice versa is introduced. It may be conjectured that the existence of the plus and minus neutrino reflects the existence in nature of the electron and the muon neutrino.
Received: 27.02.1970
Citation:
B. G. Konopelchenko, “Discrete transformations in a six-dimensional model of Minkowski space”, TMF, 5:3 (1970), 366–371; Theoret. and Math. Phys., 5:3 (1970), 1211–1215
Linking options:
https://www.mathnet.ru/eng/tmf4215 https://www.mathnet.ru/eng/tmf/v5/i3/p366
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