Here are some online resources for learning more about
the octonions and their possible applications to physics.
Some of this material is staid and respectable; some is not.
Read and make up your own mind!
Geoffrey Dixon's
octonion webpages. Geoffrey Dixon has a theory of physics
based on the algebra
.
Tevian Dray's
octonion
webpage, with links to his publications on octonions.
Pertti Lounesto's
CLICAL program, which does Clifford algebra and octonion calculations.
Corinne Manogue's research statement and list of publications. Manogue and Dray have collaborated on
a number of projects involving octonions and 10-dimensional Lorentzian
geometry.
Tony Smith's
octonion and magic square
webpages. Tony Smith has a theory of physics involving exceptional
groups and Jordan algebras. He also likes numerological coincidences
relating mathematics and mythology.