A Time-Dependent Model of Dark Energy Based on Four-Dimensional Continuous Deformation Theory

TL;DR

This paper models dark energy as a four-dimensional elastic medium to explain cosmological expansion and inflation, predicting a significant decrease in dark energy density and proposing new phenomena for future study.

Contribution

It introduces a novel four-dimensional continuous deformation model of dark energy, linking elastic properties to cosmological expansion and inflation dynamics.

Findings

Dark energy density decreases by a factor of ~10^122 during inflation

The model predicts specific elastic wave modes and redshift discrepancies

Parameters fit supernova observational data

Abstract

In this article, we investigate the mechanism of cosmological expansion and inflation by modeling dark energy as a four-dimensional continuous medium, with its elastic deformation described by a four-dimensional vector field. We demonstrate that when the bulk modulus of this cosmological medium is $K = 1.64 \times 10^{109} \text{ N}\cdot\text{m}^{-2}$, the dark energy density, corresponding to the stress-energy associated with the deformation of the medium, decreases by a factor of $\sim 10^{122}$ while the scaling factor expands from $\sim 10^{-60}$ to $\sim 10^{-32}$ over approximately $10^{-42}$ seconds during cosmological inflation in the early universe. Our analysis suggests three potential new physical phenomena for future investigation: detecting longitudinal modes of elastic waves, examining discrepancies in the redshift of light from the early universe, and fitting supernova curves using the parameters introduced in our model.