Abstract
I define geometric and nongeometric interaction of particles and then relate how those definitions apply in detail to physical phenomena at the foundations of general relativity and quantum mechanics, rigorously fleshing out assumptions of fundamental geometry. The geometric equivalence law is stated, and it is shown how symmetry in gauge theory necessarily follows directly from it. The presence of the imaginary number in quantum physics is then explained as a necessary physical consequence of geometric and nongeometric interaction. I present the case the classification is a more empirical, constructive, and general view of facts rigorous, modern experiments direct us to make and opens opportunities for new experiments in the future here to not fully considered, that are not self-contradicting as they appear with the contemporary view.
Eric Frederick Brunhouse