The known link of the division algebras to 10-dimensional spacetime and one leptoquark family is extended to encompass three leptoquark families.

1.
J.
 
Baez
,
Bull., New Ser., Am. Math. Soc.
 
39
,
145
–
205
(
2002
).
Google Scholar
Crossref
Search ADS
 
2.
G.M.
 
Dixon
, “
Algebraic spinor reduction yields the standard symmetry and family structure
,” available on www.7stones.com/Homepage/10Dnew.pdf
3.
G.M.
 
Dixon
, Division Algebras: Octonions, Quaternions, Complex Numbers, and the Algebraic Design of Physics (Kluwer, Dordrecht,
1994
).
4.
J.H.
 
Conway
 and
D.A.
 
Smith
, On Quaternions and Octonions: Their Geometry, Arithmetic, and Symmetry (AK Peters, Wellesley, MA,
2003
).
5.
J.H.
 
Conway
 and
N.J. A.
 
Sloane
, Sphere Packings, Lattices and Groups (Springer-Verlag, Berlin,
1993
).
6.
G.M.
 
Dixon
, “
Division algebras: Interfamily mixing (including neutrions)
,” available on www.7stones.com/Homepage/14mix.pdf
This content is only available via PDF.
© 2004 American Institute of Physics.
2004
American Institute of Physics
You do not currently have access to this content.