Geometric Clifford algebra G_3,0 is used to describe geometric objects of 3D Euclidean space in an 8D basis with only real numbers. Basis elements are identified by their inner structure. To describe it with only +1 and -1 coefficients, a unit cube representation is used rather, then matrix ones. Two layers of information are distinguished. The first one is contained in a set of real coefficients for basis Clifford numbers. It describes the outer properties of an object. The second binary one is contained in coefficients for elements of their inner structure to implement their geometric properties in algebraic relations. It is shown, that any change of information inside the second (inner) layer preserves information inside the first layer but changes its image. Consequences for information transmission and processing are discussed.

Date Published: 29 April 2008
PDF: 8 pages
Proc. SPIE 7006, Lasers for Measurements and Information Transfer 2007, 70060P (29 April 2008); doi: 10.1117/12.802298

Published in SPIE Proceedings Vol. 7006:
Lasers for Measurements and Information Transfer 2007
Vadim E. Privalov, Editor(s)