Precolor and Black Holes and all that.

In the comments to my previous post, Tony Smith asked where color came from in my use of the Clifford algebra C(4,1) as I didn’t explain it in my previous post. This is one of the 30 or so topics on which my guesses for the physics of sub elementary particles differs drastically from mainstream physics.
Crack(pot)s [...]

Precolor and Primitive Idempotents

An idempotent is an element of an algebra that is unchanged when it is squared, . In an algebra, the “primitive” idempotents are those that cannot be written as sums of nonzero idempotents. In a sense, these are like primes. In the density matrix formulation of quantum mechanics, the particle states are primitive idempotents.

1-parameter subgroups of Lie groups

My first cut at this post was a fairly traditional introduction to one parameter subgroups of Lie groups. Along the way, I made this illustration showing the complicated global versus simple local behavior of one parameter subgroups:

But then, in writing down examples, I realized that the readers are likely to be intimately familiar with the multiplication [...]