Integer-quaternion formulation of Lambek's representation of fundamental particles and their interactions
Mathematical Physics
2007-05-23 v2 math.MP
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 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.
Keywords
Cite
@article{arxiv.math-ph/0511047,
title = {Integer-quaternion formulation of Lambek's representation of fundamental particles and their interactions},
author = {Andre Gsponer},
journal= {arXiv preprint arXiv:math-ph/0511047},
year = {2007}
}
Comments
10 pages, 3 tables. Error in the abstract corrected