ABSTRACT

The symmetry-breaking process induces a dissolution of the degeneracy latent within the preceding products, by decreasing the number of indistinguishable individuals while increasing the number of distinguishable ones. The symmetry-breaking has its functional underpinning in the law of motion of the one-to-many mapping type. The law of motion of the one-to-one mapping type leaves the degeneracy associated with the indistinguishable individuals invariant and preserves the symmetry property once observed with those individuals. Material aggregates under the influence of material flow equilibration induce adjustments of interaction with their surroundings. A permutation symmetry between an arbitrary pair of different types of amino acids, that was preserved before thermal polymerization, is broken after the polymerization. The symmetry-breaking under endogenously generated boundary conditions continues to survive through the sequence from product to production. Nonrandom point mutation breaks, with time, the symmetry property observed with the pattern of variations. Symmetry-breaking in the development program is actualized in the symmetry-breaking in the morphological process.