A Cubic Generative Model Unifying Logical, Quantum-Number, Magnetic, and Crystal Structures

Abstract

This paper presents a unified cubic generative model linking logical transformations, quantum numbers, magnetic ordering, and crystal symmetries. Each domain shares three generative axes—negation, order, symmetry—forming an isomorphic Z2^3 structure. Embedding spdf orbitals, antiferromagnetic/ferrimagnetic lattices, and SC/BCC/FCC frameworks reveals a common structural foundation consistent with FRLT.