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Mathematical model reveals how collapsing matter and expanding voids shape universe's evolution

Revealing how matter affects the evolution of the universe
The plot represents the new model with the x-axis and the y-axis showing the minimum sizes of collapsing and expanding regions that can impact cosmological measurements. The contours are independent datasets. Credit: Dr. Leonardo Giani

A University of Queensland researcher has developed a new mathematical model to explain the evolution of the universe which, for the first time, includes collapsing regions of matter and expanding voids.

Dr. Leonardo Giani and a team at UQ's School of Mathematics and Âé¶¹ÒùÔºics used data from the Dark Energy Spectroscopic Instrument (DESI), which has measurements of the universe to 11 billion . The has been published in Âé¶¹ÒùÔºical Review Letters.

"This new model can change the way physicists and cosmologists look at the universe," Dr. Giani said.

"The standard model mapping the universe from the Big Bang until today has matter particles of the same size not interacting with each other.

"But in reality, we can see there are stars, , and empty regions constantly interacting via forces such as gravity not accounted for by the standard model.

"For 30 years, scientists have tried to explain what is happening as this complex universe expands and there have been plenty of exotic attempts at solutions.

"We know voids and collapsing regions exist, but we didn't really know how to compute their impact on the measurements.

"My model gives a recipe to compute it, without the need for new physics.

"This framework uses simple mathematical terms to describe how the emergence of complex structures in the universe affects our cosmological measurements."

Dr. Giani's team set out to identify the minimum size a void needs to have in order to impact the measurements (called R_v) as well as the minimum size a cluster must have (called R_c).

Independent datasets, including DESI data, were plotted against an x-axis and y-axis showing the minimum sizes of the collapsing and expanding regions that can impact cosmological measurements.

"The of the universe should see all of these dataset contours overlap in the upper right corner, where the sizes of the expanding and contracting regions would be too large for them to exist," Dr. Giani said.

"They instead overlap in a different region, which indicates that large voids of space might be responsible for anomalous behavior observed in the data."

Dr. Giani said the new model also addresses the two biggest problems in modern cosmology—Hubble tension and the evidence for dynamical dark energy.

Hubble tension is a discrepancy between two methods of calculating the universe's expansion rate, while dynamical dark energy is a theory that says energy is not constant but changing or weakening over time.

"Our model has the richness to address both of these," Dr. Giani said.

"If you assume that dark energy is weakening and then you try to infer how fast the universe is expanding from that data, you get even a lower measurement of the expansion rate of the universe—solutions to one problem create another.

"In our model, any weakening of energy is just a detailed accounting of what the universe looks like today, it behaves as if it was weakening but may not be weakening.

"In our plot, the green box is a region where the Hubble tension is resolved.

"Essentially, when we asked if the complexity of the universe was showing up in the DESI data, the result was that it was, and our framework can explain all of the observations."

More information: Leonardo Giani et al, Novel Approach to Cosmological Nonlinearities as an Effective Fluid, Âé¶¹ÒùÔºical Review Letters (2025). . On arXiv:

Citation: Mathematical model reveals how collapsing matter and expanding voids shape universe's evolution (2025, August 19) retrieved 19 August 2025 from /news/2025-08-mathematical-reveals-collapsing-voids-universe.html
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