Searching for a solution to the cosmological constant problem - a toy model

TL;DR

This paper introduces a toy model with an extra unobservable spatial dimension to address the cosmological constant problem, potentially explaining galaxy rotation curves without dark matter and resolving key cosmological issues.

Contribution

The paper proposes a novel higher-dimensional toy model that extends spacetime and offers solutions to the cosmological constant problem and galaxy rotation curves without dark matter.

Findings

Explains flat galaxy rotation curves without dark matter.

Addresses the cosmological constant problem.

Eliminates the initial singularity in cosmology.

Abstract

This paper concerns the so-called cosmological constant problem. In order to solve it, we propose a toy model providing an extension of the dimensionality of spacetime, with an additional spatial dimension which is macroscopically unobservable. The toy model introduces no corrections to most predictions of the "standard" general relativity regarding, among others, the so-called "five tests of general relativity". However, it seems that the toy model could provide an explanation to the flatness of circular velocity curves of spiral galaxies without introducing any dark matter. The proposed model has quite important cosmological consequences. By introducing certain corrections to Friedmann's currently accepted model(s), the toy model allows one to solve problems related to the present density of matter in the Universe and, finally, it does not contain the initial singularity.