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Proceedings Paper

Additive basis for multivector information
Author(s): Victor I. Tarkhanov; Armand Ebanga
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Paper Abstract

A new kind of eight dimensional (8D) basis is suggested to describe geometric objects and processes in three dimensional (3D) vector space. In contrast to an ordinary 8D multivector basis for a corresponding geometric Clifford algebra G3.0, it is built from three kinds of complementary idempotent paravectors, defined through three basis vectors of Cartesian frame of reference. The new basis is extremely useful to describe all kinds of objects in G3.0 homogeneously, using only real numbers. It is especially suitable to describe and simulate interference phenomena for rotating vectors, bivectors, paravectors, spinors and other kinds of spatially anisotropic information carriers on traditional computers.

Paper Details

Date Published: 11 January 2007
PDF: 9 pages
Proc. SPIE 6594, Lasers for Measurements and Information Transfer 2006, 65941A (11 January 2007); doi: 10.1117/12.725676
Show Author Affiliations
Victor I. Tarkhanov, St. Petersburg State Polytechnical Univ. (Russia)
Armand Ebanga, St. Petersburg State Polytechnical Univ. (Russia)

Published in SPIE Proceedings Vol. 6594:
Lasers for Measurements and Information Transfer 2006
Vadim E. Privalov, Editor(s)

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