Papers

Origin of Neural Firing and Synthesis in Making Comparisons

Author(s)
Thomas Saaty
Joseph M. Katz Graduate School of Business
University of Pittsburgh
United States
Luis Vargas
Joseph M. Katz Graduate School of Business
University of Pittsburgh
United States

Publication date: Jul, 2017

Journal: European Journal of Pure and Applied Mathematics
Vol.: 10- Issue: 4- Pages: 602-613

Publisher:

Abstract: The nervous system uses its own kind of mathematical function patterns for both external and internal realities. The conscious part of the nervous system is there to respond to what happens outside by regulating externally received information signals from the senses and the skin and muscles of the body itself. To do that, it needs to communicate with its subconscious using the familiar language of neural firing. In this paper, we show that because reciprocal pairwise comparisons are performed at the neural level, the division algebra of the octonions, in which commutativity and associativity are not satisfied, provides the structure needed to represent mental processes and that these processes could be represented in G2-manifolds.

Keywords: Neural firing and synthesis, Fundamental equation, Group of the automorphisms of the octonions

URL: https://www.ejpam.com/index.php/ejpam/article/view/3074