| Mar 23, 2026 |
Researchers have shown that a discrepancy in a key cosmic measurement in the early universe originates from a subtle statistical interplay between measurements of the cosmic microwave background (CMB) and baryon acoustic oscillations (BAO).
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(Nanowerk News) Researchers find a shift in a key cosmic measurement in the early universe may be a statistical artefact, reports a recent study published in Physical Review D (“BAO-CMB tension and implications for inflation”) as an Editor’s Suggestion.
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For the last few decades, researchers have been studying what the universe looked like in its first seconds. It is generally accepted that the universe expanded exponentially in the first fraction of a second after the Big Bang.
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Researchers use ns, the scalar spectral index, to characterize how primordial density fluctuations were distributed across different length scales in the early universe. The value of ns is a central observable in inflationary cosmology, since different inflationary scenarios predict distinct values for this quantity, making it a powerful discriminator between models.
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With the high-precision measurements from the Planck satellite, the scalar spectral index ns was thought to be tightly constrained. This measurement played a central role in shaping the landscape of viable inflationary models. As the precision ns improved, attention increasingly turned to other observables, such as the tensor-to-scalar ratio and primordial non-Gaussianities, as the next discriminants of inflationary physics.
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This was until 2025 when two groups of researchers combined different astrophysical datasets to come up with a value for ns that questioned some of the most famous models of inflation, bringing this parameter back to the center of the discussion.
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| Comparison between the constraints from ACT (blue), DESI BAO (grey), and ACT+DESI (red) for the BAO parameters and the spectral index ns. The pink band represents the ns values for the preferred inflation models after Planck. We can see a shift in the preferred parameter values between ACT and DESI or ACT+DESI, illustrating the BAO–CMB tension, with a consequent shift in ns away from the pink band. (Credit: Ferreira et al.)
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However, a group of researchers led by the University of Tokyo Kavli Institute for the Physics and Mathematics of the Universe (Kavli IPMU, WPI) Project Assistant Professor Elisa Ferreira has now shown that this discrepancy arise originates from a subtle statistical interplay between measurements of the cosmic microwave background (CMB) and baryon acoustic oscillations (BAO), highlighting the role of dataset consistency in the inferred value of ns.
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In the study, the team analyzed how combining BAO data with CMB observations affects the inferred value of the scalar spectral index ns. They showed that the shift in ns arises from a mild tension between these datasets — the “BAO–CMB tension” — which propagates into the inflationary parameter constraints. When this effect is properly accounted for, the evidence against standard inflationary models weakens significantly.
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In particular, the authors demonstrate that the shift in ns is linked with changes in late-time cosmological parameters such as the matter density. This suggests the result does not primarily reflect new information about the physics of inflation, but rather internal dataset consistency. The study highlights the importance of carefully assessing cross-dataset tensions before drawing strong conclusions about fundamental early-universe models.
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As a consequence, the inferred value of ns is not uniquely determined in the presence of the BAO-CMB tension. Different combinations of cosmological datasets lead to statistically significant shifts. Current constraints on inflation therefore depend sensitively on how late time data are incorporated.
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Until the origin of this tension is clarified, it remains unclear which value of ns should be regarded as the most reliable. The shift may be due to unknown systematics, analysis choices, or potentially new physics.
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Resolving this issue is essential before drawing firm conclusions about inflationary models and the physics of the early universe.
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