Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

Is there a mathematical identity between the 4 normed division algebras and the 4 levels of the combinatorial hierarchy?

share|cite|improve this question
What are the four levels of combinatorial hierarchy? – user02138 Oct 19 '12 at 14:44
Do you have an idea to connect the two of them, or are you simply thinking that "there are four of each so there might be a connection." ? – rschwieb Oct 19 '12 at 15:03
To answer both questions I cite a paper by Stanford researcher Pierre Noyes describing the prediction of cosmological measurements based on the combinatorial hierarchy (which is therein defined): The reason I am suspicious that there is a connection between the two is the parsimony with which the third level of the combinatorial hierarchy's electroweak interaction can be described by quaternions, and my intuition that the strong interaction may parsimoniously be described by complex numbers. – James Bowery Oct 19 '12 at 15:27
An introduction to Noyes's bitstring physics: wherein he associates the four levels of the combinatorial hierarchy with the four scale constants for the superstrong, strong, electroweak and gravitational interactions respectively. – James Bowery Oct 19 '12 at 15:47

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.