Unification of Fundamental Physics Using Lagrangian-Euclidian Space, Where GR = QFT.

Hontas Farmer

College of DuPage

Corresponding Author:profhfarmer@outlook.com

Author Profile## Abstract

Suppose we were to treat the Lagrangians of the theories we wish to unite as coordinates in a space of Lagrangians. In this space the Lagrangians
for general relativity (Einstein-Hilbert), the standard model, and
the dark sector act as coordinate axes. From here a functional derivative
equation is set up for a functional, T, which gives as a result another
functional, U, which denotes the Lagrangian for our universe. From
there the action \((\mathscr{S})\) due to U is computed and shown to
converge even at infinite energy. Finally with \(\mathscr{S}\) a generating
functional for all possible interactions is computed and a one inch
equation of everything is given\((Z=e^{i\mathscr{S}})\). It is the assertion
of this paper that with the generating functional detailed herein
one may compute any physical quantity of interest including gravitational
and dark sector corrections and arrive at a finite result. Specifically graviton-graviton and graviton photon interactions are shown to result in finite observable quantities. It is noted that this is a fully worked out model where GR and QFT are treated on an equal footing by relativizing QFT, or put simply GR=QFT.