Affine group formulation of the Standard Model coupled to gravity

TL;DR

This paper presents a novel affine algebraic framework that unifies the Standard Model and quantum gravity, providing a new approach to their interaction and revealing a fundamental uncertainty relation linked to the cosmological constant.

Contribution

It introduces an affine group formulation that describes matter and gravity within a single quantum algebraic structure, advancing the unification of fundamental forces.

Findings

Constructs a Hilbert space for quantum gravity coupled to the Standard Model.

Demonstrates a fundamental uncertainty relation tied to the cosmological constant.

Provides a new algebraic approach to quantum gravity and matter interaction.

Abstract

This work demonstrates that a complete description of the interaction of matter and all forces, gravitational and non-gravitational, can in fact be realized within a quantum affine algebraic framework. Using the affine group formalism, we construct elements of a physical Hilbert space for full, Lorentzian quantum gravity coupled to the Standard Model in four spacetime dimensions. Affine algebraic quantization of gravitation and matter on equal footing implies a fundamental uncertainty relation which is predicated upon a non-vanishing cosmological constant.