Regarding octonions, sedenions and physics
Tony Smith has a huge amount of pertinent ideas on his website, e.g.
http://www.innerx.net/personal/tsmith/QOphys.html
http://www.innerx.net/personal/tsmith/d4d5e6hist.html
His ideas are colorful and speculative, but also deep and interesting.
One could spend a very long time soaking up all the ideas on the site.
By the way, Tony is a very nice guy, who did a postdoc under Finkelstein (of
quantum set theory fame) and earns his living as a criminal-law attorney.
I spent some time a few years back trying to create a novel physics theory
based on discrete Clifford algebras, which relate closely to quaternions and
octonions. My effort was unfinished, and I turned my attention to other
types of science, but some of my notes are at:
http://www.goertzel.org/papers/main.htm
(scroll to the bottom to see a list of documents under the heading
"Some Incomplete Speculations on the Foundations of Physics"
-- Ben Goertzel
Received on Thu Nov 21 2002 - 08:18:31 PST