The EP Model with U(1) (E5)

TL;DR

The E5 paper extends the EP exotic invariant framework by coupling a U(1) gauge sector, constructing the full field and pseudo-field actions with a new SUSYU(1) gauge multiplet, and defining the U(1) exotic invariant as the difference between electric and pseudo-field contributions. It introduces covariant derivatives and a BRST-consistent structure, derives an extended Master Equation that couples E, P, X, and U(1) sectors, and provides explicit nilpotent transformations for the E multiplet under the U(1) extension. The results show that gauge interactions add new terms without fundamentally altering the exotic invariant cohomology, preserving the core construction while enabling mass-mixing analysis in future XM iterations (E6 onward). The work lays groundwork for embedding the Exotic Model within the SUSY Standard Model framework, with planned investigations into Higgs–photon mixing, ZX actions, and tachyon stability in subsequent papers.

Abstract

Here we add a U(1) gauge theory to the simple EP exotic invariant model in the paper E4. This paper E5 is the fifth in a series of papers En.