The topological terms of interacting harmonic gravitational connections within the Maxwell-like gauge approach of gravity

TL;DR

This paper explores the topological interactions of harmonic gravitational connections using a Maxwell-like gauge approach, providing insights into gravity-dark energy interactions with potential cosmological implications.

Contribution

It introduces a novel application of Symbolic Gauge Theory to compute Feynman diagrams for gravitational connections in a topological field framework.

Findings

Calculated Feynman diagrams for gravitational interactions

Revealed potential links between gravity and dark energy

Implications for cosmological models

Abstract

In this paper, we base on the formalism of Symbolic Gauge Theory in the case of General relativity; we calculate the Feynman diagrams for the interaction between harmonic gravitational connections in the topological field theory. These calculations provide insights to interactions between gravity and dark energy. They could, therefore, have important repercussions for current cosmological problems.