Dark energy, responsible for the accelerated expansion of the Universe, has long been thought of as solely a positive cosmological constant. However, recent data from the DESI survey on baryon acoustic oscillations showed a statistical preference for evolving dark energy. In theoretical physics, anti-de Sitter (AdS) vacua — states with a negative cosmological constant — naturally arise. Perhaps such a "negative" component coexists with the familiar dark energy, acting as a hidden counterweight.
To test this hypothesis, the researchers applied two independent approaches. In the first — binning by redshift — the equation of state w(z) was reconstructed in ten uniform intervals from z=0 to z=2.5, relying on data from Type Ia supernovae (Pantheon catalog, 1550 light curves) and baryon acoustic oscillations (DESI DR2 BAO). The second method used Gaussian processes — a statistical tool that builds smooth curves without rigid assumptions about the function's form. Two types of kernels were employed: Matérn-7/2 and squared exponential. Model parameters were determined via Markov Chain Monte Carlo using the Cobaya package.
Both methods showed a weak preference for the model with a negative cosmological constant (NCC) — roughly at the 1σ level. The density of this hidden component, ΩΛ, turned out negative: −0.093 with large uncertainties (+0.525/−0.294). The most intriguing result is the influence of NCC on the w(z) equation of state. Without the counterweight, part of the data strayed into the phantom region (w<−1), whereas with NCC the w(z) curve returns to "calm" quintessence, making w=−1 compatible within 1σ. In other words, the invisible antipode "holds back" dark energy, preventing it from crossing the forbidden line.
The presence of a negative component changes the interpretation of cosmological data. The degeneracy between NCC parameters and the w(z) equation of state weakens constraints but simultaneously suggests that dark energy may be more complex than a single constant. This aligns with theoretical models of the string landscape, where AdS vacua are natural while dS vacua are problematic. The result does not resolve the Hubble tension, but opens a path to its alleviation in combination with early dark energy.
Current data do not provide a definitive answer. Future observations — above all, the completed DESI samples and the launch of the Euclid mission — promise to narrow the uncertainty on ΩΛ. Especially important are measurements at redshifts 1≲z≲2, where the influence of NCC on expansion dynamics is most pronounced.
The result directly impacts cosmological modeling and the estimation of dark energy parameters. It is important for interpreting data from new surveys and for theories linking vacuum physics to cosmic acceleration.
Further analysis will combine DESI BAO data with more precise supernova and cosmic microwave background measurements, and will apply other non-parametric reconstruction methods to verify the robustness of the conclusion.
The work touches on two fundamental unsolved problems: the nature of dark energy and the Hubble tension. The presence of a negative cosmological constant could serve as a bridge between observational cosmology and string theory.
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What the work does
The authors tested the hypothesis that a negative cosmological constant (AdS vacuum) coexists with evolving dark energy, using two independent methods: reconstructing w(z) from redshift bins and Gaussian processes applied to Pantheon and DESI DR2 BAO data. Both methods showed a weak preference for the model with a negative component at the ~1σ level, while the presence of NCC returns w(z) from the phantom region to quintessence.
Where its strength is
The strength of the work lies in the use of two independent statistical approaches that consistently point to the possible presence of a negative cosmological constant, and in demonstrating how NCC changes the interpretation of w(z), removing the phantom behavior.
Where it could go next
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Why this may matter
If a negative cosmological constant is indeed present, it could change our understanding of vacuum energy and its connection to fundamental theory, and also affect the interpretation of future DESI and Euclid data.
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If the negative cosmological constant is real, the vacuum of our Universe is not just empty — it possesses negative energy, like an "energy debt" that slightly brakes cosmic acceleration.