Physics & Astronomy25 March 2026

The Geometry of the Cosmos: Could a Phase Transition Solve the Hubble tension?

Source PublicationMDPI AG

Primary AuthorsKi-Uk

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Look up at the night sky, and you are watching a slow, silent crisis. For decades, astrophysicists believed they understood the basic physics of the expanding cosmos. Yet, the deeper our modern telescopes peer into the dark, the more the mathematics holding the universe together begin to fracture and fail.

The problem centres on a single, vital metric: the exact rate at which the universe is stretching apart. When astronomers measure the ancient microwave echo of the Big Bang, they calculate one specific speed. However, when they measure the distance to nearby pulsing stars in our local universe, they find a noticeably faster speed.

A Geometric Solution to the Hubble tension

This widening discrepancy is known as the Hubble tension. It is not merely an observational rounding error or a minor glitch in the instruments. It is a severe, structural flaw in our standard model of cosmology.

To make the classical equations function properly, scientists have spent decades relying on invisible, unproven forces. They call these mathematical placeholders dark matter and dark energy. These unseen entities supposedly make up the vast majority of our universe, yet they have never been directly detected in any laboratory.

This reliance on invisible material has left modern astrophysics in an uncomfortable position. The standard model works beautifully for most observations, but it requires us to accept that 95 percent of reality is completely hidden from our instruments.

Now, a newly proposed theoretical framework offers a radically different explanation for these cosmic anomalies. The researchers suggest we might not need a shadowy, undetectable dark sector to balance the cosmic ledger at all.

Instead, their paper introduces a concept dubbed Topological Unfolding Cosmology. This model treats the entire universe as a macroscopic vacuum undergoing a continuous, deterministic phase transition.

Think of liquid water freezing into solid ice, releasing latent heat as its internal molecular structure changes. The authors propose the cosmos is experiencing a similar geometric shift, moving gradually from one topological state to another.

In this geometric model, what we currently call dark energy is simply the macroscopic latent heat generated by this cosmic transition. What we call dark matter is recast as topological tension radiating outward from the immense gravity of black hole centres.

Redrawing the Cosmic Map

By modelling the universe through this lens of geometry and thermodynamics, the researchers can naturally resolve the Hubble tension. The model achieves this via a dynamic contraction of the sound horizon, allowing the conflicting expansion rates to mathematically align.

The framework also offers an elegant explanation for recent, baffling observations returning from the James Webb Space Telescope. Astronomers have been discovering mature, massive galaxies in the very early universe, existing long before standard models say they should have had time to form.

According to the new topological framework, these ancient galaxies are behaving exactly as they should. The model suggests that the earliest matter in the universe would naturally align along primordial lines of geometric tension.

Unlike unprovable dark forces, this new theory offers specific, measurable predictions. To test these claims, astronomers can use the framework to look for:

  • The exact statistical distribution and size of empty cosmic voids.
  • The structural alignment of the earliest massive galaxies.
  • The dynamic contraction of the sound horizon over cosmic time.

If future observational data matches these geometric predictions, it could alter our fundamental understanding of the night sky. The universe might not be filled with mysterious dark substances. It might simply be a massive, shifting shape, unfolding in the dark.

Cite this Article (Harvard Style)

Ki-Uk (2026). 'Topological Unfolding Cosmology: Resolving the Dark Sector, Hubble Tension, and Early Galaxy Anomalies via <em>k</em> = 2 → 3 Phase Transitions'. MDPI AG. Available at: https://doi.org/10.20944/preprints202603.2008.v1

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CosmologyAstrophysicsHow did massive galaxies form in the early universe?Theoretical Physics