Effective interactions and prospects for a resolution of the fundamental cosmological problems in the quantum gravity

TL;DR

This paper explores the potential for effective interactions in quantum gravity to address fundamental cosmological issues, proposing a non-trivial solution and discussing implications for dark matter and dark energy.

Contribution

It introduces a model of effective interactions in quantum gravity with a spontaneous generation mechanism and examines their implications for cosmological phenomena.

Findings

Existence of a non-trivial solution to the compensation equation

Effective interactions could explain dark matter and dark energy effects

Running gravitational coupling modeled to match cosmological observations

Abstract

A possible effective interaction in the quantum gravity is considered. The compensation equation for a spontaneous generation of this interaction is shown to have a non-trivial solution. Would be consequences of a possible existence of effective interactions in the gravity theory are discussed. An example of running gravitational coupling is presented, which corresponds to a description of effects, which nowadays are prescribed to a dark mater and to a dark energy.