Gauge invariant theory of gravity in spacetime with gradient nonmetricity: A possible resolution of several cosmological puzzles

TL;DR

This paper explores a gauge-invariant gravity theory within Weyl integrable geometry to potentially explain cosmological puzzles like accelerated expansion and Hubble tension by proposing Weyl gauge symmetry as a fundamental, unbroken symmetry of the universe.

Contribution

It introduces a gauge-invariant gravity framework based on Weyl integrable geometry, offering a novel approach to address key cosmological issues.

Findings

Weyl gauge symmetry may be an unbroken symmetry of the universe.

The theory provides a unified explanation for accelerated expansion and Hubble tension.

Potential resolution of multiple cosmological puzzles within a gauge-invariant gravity model.

Abstract

In this paper we apply the symmetry principle in order to search for an alternative unified explanation of several cosmological puzzles such as the present stage of accelerated expansion of the Universe and the Hubble tension issue, among others. We argue that Weyl gauge symmetry, being a manifest symmetry of gauge invariant theories of gravity operating on Weyl integrable geometry spacetimes, may be an actual (unbroken) symmetry of our present Universe. This symmetry may be at the core of a phenomenologically feasible explanation of modern fundamental issues arising within the framework of general relativity and of its known modifications.