Towards the Scale Invariant Cosmology

TL;DR

This paper argues that a scale-invariant dynamical theory can resolve fundamental issues like singularities and energy non-conservation in General Relativity, proposing a more consistent cosmological framework.

Contribution

It introduces the necessity of a fully scale-invariant theory to address singularities and energy conservation problems in cosmology, which are not resolved by existing formulations.

Findings

Singularity in GTR is linked to non-Machian features.

Scale-invariance can potentially eliminate singularities.

Current field formulations only partially address these issues.

Abstract

An argument is made to show that the singularity in the General Theory of Relativity (GTR) is the expression of a non-Machian feature. It can be avoided with a scale-invariant dynamical theory, a property lacking in GTR. It is further argued that the global non-conservation of energy in GTR also results from the lack of scale-invariance and the field formulation presented by several authors can only resolve the problem in part. A truly scale-invariant theory is required to avoid these two problems in a more consistent approach