2016/03/21 by Mark L. Raphaelian, Raphaelian, Mark L.
Chemistry · Physics and Astronomy · #Advanced NMR Techniques and Applications #Dark Matter and Cosmic Phenomena #FOS: Physical sciences #General Physics (physics.gen-ph) #Neutrino Physics Research
paper · pdf · doi:10.48550/arxiv.1603.06628
openalex publication_date 2016/03/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A specific algebraic coupling model involving multiple quantization axes is presented in which previously indistinguishable SU(2) symmetry groups become distinguishable when coupled into a SU(3) group structure. The model reveals new intrinsic angular momentum (or isospin) eigenvectors whose structural symmetries are detailed, some of which are not available for groups having only one quantization axis available for configurations. Additionally, an intrinsic cyclic ordering of the quantization axes and internal geometric phase relations between the basis states naturally fall out from the algebraic properties of the group. The nature of the coupling into a SU(3) symmetry group also allows for the definition of both positive and negative basis states along each quantization axis relative to the center of the group. These basis states configurations mimic those observed in color-charge and electroweak theories.