Fractals and Chaos Related to Ising-Onsager-Zhang Lattices vs. The Jordan-von Neumann-Wigner Procedures. Ternary Approach

Abstract

A fractal structure is introduced to Jordan-von Neumann-Wigner procedure and Jordan algebra, and some composition algebras are discussed from the point of view of a related fractal structure. Our approach aims at modifying and simplifying the Onsager-Zhang procedure of analyzing simple orthorhombic Ising lattices. Fig. 1: AB 3 binary alloy of an fcc lattice, and ð1; 1; 1Þ surface orientation. Two possible initial sets of fractal structure.Fig. 2: An analogous configuration with shifting allowing two meetpoint. Two layers.

(Para) quaternionic geometry, harmonic forms, and stochastical relaxation

“…The results obtained have a clear physical significance [2], [5], [9], [11], [16], [17], [25], [26].…”

Some geometrical aspects of binary, ternary, quaternary, quinary and senary structures in physics

“…At the moment we are leaving aside the question of composing it from the binaries only or the ternaries only (cf. [8,9]).…”