Integer-quaternion formulation of Lambek's representation of fundamental particles and their interactions

Details Integer-quaternion formulation of Lambek's representation of fundamental particles and their interactions Integer-quaternion formulation of Lambek's representation of fundamental particles and their interactions

2005-11-13

arxiv.org/abs/math-ph/0511047v2

Physics

Mathematical Physics

10 pages, 3 tables. Error in the abstract corrected

Scientific paper

Lambek's unified classification of the elementary interaction-quanta of the ``Standard model'' is formulated in terms of the 24 units of the integer-quaternion ring, i.e., the tetrahedral group Q_{24}. An extension of Lambek's scheme to the octahedral group Q_{48} may enable to take all three generations of leptons and quarks into account, as well as to provide a quantitative explanation for flavor-mixing.

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