A model for dark energy based on the theory of embedding

TL;DR

This paper proposes a model for dark energy based on embedding theory, suggesting that the embedding of curved spacetimes in higher dimensions can explain the universe's accelerated expansion and potential future deceleration.

Contribution

It demonstrates that embedding theory can account for dark energy and the universe's acceleration, linking geometric embedding with cosmological phenomena.

Findings

Embedding theory explains accelerated cosmic expansion.

The model aligns with noncommutative geometry results.

Reversal to deceleration is theoretically possible.

Abstract

A long-standing topic of interest in the general theory of relativity is the embedding of curved spacetimes in higher-dimensional flat spacetimes. The main purpose this paper is to show that the embedding theory can account for the accelerated expansion of the Universe and thereby serve as a model for dark energy. This result is consistent with earlier findings based on noncommutative geometry. A secondary objective is to show that the embedding theory also implies that it is possible, at least in principle, for the accelerated expansion to reverse to become a deceleration.