The System of R-Exp: Expanding the Algebraic Number System
Suppose we expand the algebraic number system as it is composed now by making a slight change to the rules of exponentiation?
What would that create?
It would open a new way to perform mathematical operations and fundamentally change the structure of algebra in general. Below is the article in which I propose to introduce addition as an exponential operation—something I do not think has ever been explored.
Download the Additive Exponentiation PDF
This is a short musical piece I wrote and placed on my YouTube site to express the idea of additive exponentiation musically. Have a listen; it is very brief.