Authors: Claude Michael Cassano
I have used a variety of 4×4 matrix factor pairs while using Helmholtzian operator factorizationsin analyzing fermion architecture and interactions; some commutative, others not.The following is a generalization to a set of 4×4 associative-commutative matrix factor pairs of general linear/differential operators to establish as a baseline foundation to begin operating from. Because the operators are associative-commutative, the factors lend themselves to chaining - and thus, to chaining of mesons, hadrons, and to chemical compound chaining - amino acid chains, proteins, nucleic acids , and so on. Much is known, but MACLOF chains may provide a mathematical foundation to chemical compound chaining. Note also, that since MACLOF factoring may be extended to higher dimensions, so too MACLOF chaining, and resulting expansion of understanding.
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