Examples of how E and B modes deform images of distant galaxies. Credit: SISSA Medialab Public Domain.

A new study proposes a test for the Cosmological Principle, that we are at the centre of the Universe, using weak gravitational lensing.

Lead author of the new study, James Adam, an astrophysicist at the University of the Western Cape, Cape Town, South Africa, said: “The cosmological principle is like an ultimate kind of statement of humility.”

According to the Cosmological Principle, not only are we not at the centre of the Universe, but a true centre does not exist.

A further assumption, similar to but distinct and independent from homogeneity, is that the Universe is also isotropic, meaning it has no preferred directions.

These assumptions underlie the Standard Model of Cosmology, the theoretical framework used to explain the origin, evolution, and current state of the Universe.

It is currently the most robust and consistent model, verified by numerous scientific observations, though not yet perfect.

In fact, some recent cosmological observations suggest that, on extremely large scales, there may be anisotropies – variations in the Universe’s structure that challenge the assumption of isotropy.

These anomalies have been identified using different methods and include conflicting measurements of the Universe’s expansion rate, studies of the cosmic microwave background radiation, and various inconsistencies in cosmological data.

However, these observations are not yet conclusive.

To rule out measurement errors, more data must be collected using independent methodologies.

If multiple techniques confirm the same anomalies, their existence would become much harder to dismiss.

Euclid

The new study published by Adam and colleagues developed a new methodology to test the Universe’s isotropy using observations from instruments like Euclid, an ESA space telescope launched in 2023, which has just begun producing images of the cosmos with unprecedented power, precision, and resolution.

Adam said: “We investigated a different method of constraining anisotropy which involved so-called weak gravitational lensing.”

Weak lensing occurs because matter between us and a distant galaxy slightly bends the galaxy’s light, altering its apparent shape.

This specific type of distortion can reveal whether anisotropies exist in the Universe.

In fact, the analysis of weak lensing data allows scientists to separate the signal into two components: E-mode shear, which is generated by the distribution of matter in an isotropic and homogeneous Universe, and B-mode shear, which is typically very weak and should not appear on large scales in an isotropic Universe.

Simply observing B-modes on large scales would not be enough to confirm anisotropies, as these signals are very weak and could result from measurement errors or secondary effects.

If an anisotropy is real, it would affect both E-modes and B-modes in a non-independent way, generating a correlation between the two signals.

Only if Euclid’s data reveal a significant correlation between E- and B-modes would it suggest an anisotropic expansion of the Universe.

Next steps and possible implications

In their study, Adam and colleagues simulated the effects of an anisotropic universe expansion on a computer and developed a model describing how deviations from isotropy would modify the weak lensing signal.

They then calculated the E-B cross-correlation to demonstrate that an anisotropic universe would produce a correlation between the two signals, and applied their model to future Euclid data, showing that these observations will be precise enough to detect potential anisotropies.

Euclid is already beginning to provide useful data for these analyses, and new observatories will soon come online.

Now that they have developed the proper methodology, Adam and his colleagues intend to apply it to real data.

He said: “Once you’ve kind of quadruple-checked your work, then you have to seriously consider whether this fundamental assumption is actually true or not, particularly in the late Universe. Or perhaps it just was never true.”

If these anomalies are confirmed, they would open a new chapter in cosmology.

It won’t be easy, though: there are already alternative theoretical models that predict anisotropies, but none are as solid or widely accepted as the Standard Model.

However, any theoretical revision would also depend on the extent of the anisotropy that could be detected, which remains uncertain.

Adam said: “It could be a serious revision, or just adding a little term here or there. Who knows?”

The study is published in the Journal of Cosmology and Astroparticle Physics.