Octonionic Geometry

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dc.creatorGogberashvili, Merab
dc.date2004-09-16
dc.date.accessioned2026-07-07T10:30:05Z
dc.date.available2026-07-07T10:30:05Z
dc.descriptionWe extend vector formalism by including it in the algebra of split octonions, which we treat as the universal algebra to describe physical signals. The new geometrical interpretation of the products of octonionic basis units is presented. Eight real parameters of octonions are interpreted as the space-time coordinates, momentum and energy. In our approach the two fundamental constants, $c$ and $\hbar$, have the geometrical meaning and appear from the condition of positive definiteness of the octonion norm. We connect the property of non-associativity with the time irreversibility and fundamental probabilities in physics.
dc.description11 pages, no figures
dc.identifierhttps://arxiv.org/abs/hep-th/0409173
dc.identifierhttp://arxiv.org/abs/hep-th/0409173
dc.identifierAdv.Appl.CliffordAlgebras15:55-66,2005
dc.identifierdoi:10.1007/s00006-005-0003-2
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/178027
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Phenomenology
dc.titleOctonionic Geometry
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