Additive basis for multivector information

Victor I. Tarkhanov; Armand Ebanga

doi:10.1117/12.725676

11 January 2007 Additive basis for multivector information

Victor I. Tarkhanov, Armand Ebanga

Proceedings Volume 6594, Lasers for Measurements and Information Transfer 2006; 65941A (2007) https://doi.org/10.1117/12.725676
Event: Lasers for Measurements and Information Transfer 2006, 2006, St. Petersburg, Russian Federation

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 G_3.0, 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 G_3.0 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.

Citation Download Citation

Victor I. Tarkhanov and Armand Ebanga "Additive basis for multivector information", Proc. SPIE 6594, Lasers for Measurements and Information Transfer 2006, 65941A (11 January 2007); https://doi.org/10.1117/12.725676

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