Integer-quaternion formulation of Lambek's representation of fundamental particles and their interactions
Andre Gsponer
Abstract
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 Q24. An extension of Lambek's scheme to the octahedral group Q48 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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