Open research questions in Cosmology and Gravitation Theories
696 gap statements mined from Cosmology and Gravitation Theories papers in our 7.9M-paper local library, which holds 4,000 papers on the topic — drawn mostly from each paper's own stated research gap, future-work, challenge and limitation notes, and its abstract. The ones listed below are a selection still marked open; each names the study that raised it, with a DOI link where the paper has one.
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What the literature leaves open
Second, future studies should investigate the propagation of emulator uncertainties and neural-posterior calibration errors into cosmological parameter constraints, particularly in regimes where observational precision becomes comparable to the approximation error introduced by 66676869707172H0Exact MCMC convergence: CC+DESI02500500075001000012500150001750020000MCMC step0.
Some of our VD Gowdy observables have been ‘reverse engineered’ to allow for such a lift, but the systematic feasibility remains to be explored. A second open question concerns the feasibility of a general ‘lift’ of Dirac observables in the VD Gowdy system to those of the full Gowdy cosmologies.
Although some incompletely characterized systematic uncertainties remain in various observations, they are insufficient to account for the observed magnitude of the discrepancy in H0.
Dashed arrows denote proposed microscopic or cross-consistency relations that remain to be derived. Their survival is not guaranteed by crossing the FLRW apparent horizon, and the transfer through the high-density phase remains an open dynamical problem.
The three-form dark energy model is a potential alternative to the ΛCDM model, but its parameters need to be constrained. The Hubble tension is an open problem that needs to be alleviated.
Whether or not the present model can be made consistent with the wealth of precision cosmological data remains to be seen.
This shows that, on its own, a reduction of data set tension under an extension to ΛCDM is insufficient to demonstrate that the extended model is favoured.
A first-principles local action realizing such a non-standard transformation law remains an open problem.
Particle creation, clock variables, and relabelling symmetry in pull-back variational fluids · 2026 · DOIThere are naturally still many open questions related to this thermodynamic cosmological model.
Thermodynamic Cosmology from the CMB Temperature and the Planck Temperature and the Relation to Quantum Cosmology · 2026 · DOIThis indicates that current conclusions from DESI DR2 combined with Pantheon$+$ likely arise from combining inconsistent datasets, leading to precise but inaccurate inference of cosmological parameters.
Hint toward an inconsistency between BAO and supernovae datasets: The evidence of redshift evolving dark energy from DESI DR2 is absent · 2026 · DOIThese findings highlight the need for further investigation into the expansion history to better understand the deviations from the $\mathrm{\ensuremath{\Lambda}}\mathrm{CDM}$ model.
Model-independent cosmological inference after the DESI DR2 data with improved inverse distance ladder · 2025 · DOIInterestingly, recent analyses have revealed that large-scale structure (LSS) data also align with this scenario, discarding the possibility of an accidental feature in the CMB sky and calling for further investigation into the free-streaming nature of neutrinos.
The spacetime dynamics of the background scalar field undergoing the phase transition can also directly produce quanta of particles that couple to the scalar, which has not been studied as extensively in the literature.
An $H(z)$ expansion rate deformation alone is insufficient to resolve the tension.
According to the existing records in the literature, this combined picture has not been reported elsewhere.
The origin of this ${S}_{8}$ tension has not yet been elucidated and may hint at systematics in the data, unaccounted effects from baryonic physics, or new physics beyond the standard model of cosmology.
The lack of a unified theoretical framework explaining cosmological observations. The need for an alternative to the Doppler-based expansion model. The requirement for Dark Energy or space expansion in current cosmological models.
Theory of Infinite Universe and Quantum Vacuum: From Galactic Rotation to Cosmic Redshift · 2026 · DOINext-generation CMB spectrometers should be used to test the IEP's prediction. Further study of the IEP's implications for our understanding of the early universe is needed.
Inverse Einstein Protocol (IEP) Prediction CMB μ-Distortion Amplitude from Phase Transition Residual Friction · 2026 · DOIOne open problem remains in full: the substrate field Lagrangian that fixes kpeak exactly from first principles. The renormalisation-group derivation of G from the SU(2) Yang-Mills coupling at the lattice scale k0 provides a well-posed path toward resolving this (Open Problem 1).
Gravity as Emergent Topology in a Planck-Scale FCC Lattice: Newtonian Sector and Yang-Mills Teleparallel Completion · 2026 · DOIWhile we find a clear improvement in the goodness of fit for this dark energy model with respect to others that have been considered in the recent literature, using information theoretic criteria, we show that the evidence for it is still inconclusive.
The underlying cause of the late-time cosmic acceleration remains one of the most profound mysteries in modern physics.
Investigating Barrow Holographic Dark Energy in Quintessential f(R,Lm)-Gravity with Ricci Scalar as the IR Cutoff · 2026 · DOIThe ultimate fate of the universe remains one of the central questions in cosmology. The Big Rip scenario is a phenomenological model that relies on the assumption of a dark energy component.
Woven Theory-Big Rip vs Woven Threads: A First-Principles Prediction of Cosmic Lifetime · 2026 · DOIThe traditional view of the CMB as the cooled aftermath of a hot Big Bang explosion may not fully explain the observed μ-distortion amplitude. The IEP offers an alternative interpretation, focusing on residual friction from a Phase Transition.
Inverse Einstein Protocol (IEP) Prediction CMB μ-Distortion Amplitude from Phase Transition Residual Friction · 2026 · DOIFuture research should include source, response, and noise modeling for quantitative detector detectability and cosmological-parameter…
Real part emergence in purely imaginary quasinormal modes in perturbed de Sitter braneworlds · 2026 · DOIFurther development of the Theory of Infinite Universe and Quantum Vacuum. Experimental verification of the predicted phenomena. Application of the model to other areas of cosmology and physics.
Theory of Infinite Universe and Quantum Vacuum: From Galactic Rotation to Cosmic Redshift · 2026 · DOI
Most-cited papers in Cosmology and Gravitation Theories
- In the realm of the Hubble tension—a review of solutions * · Classical and Quantum Gravity · 2021 · 1,924 citations
- Beyond the cosmological standard model · Physics Reports · 2015 · 1,122 citations
- Constraints on primordial black holes · Reports on Progress in Physics · 2021 · 1,002 citations
- Improved Constraints on Primordial Gravitational Waves using Planck , WMAP, and BICEP/ Keck Observations through the 2018 Observing Season · Physical Review Letters · 2021 · 979 citations
- DESI DR2 results. II. Measurements of baryon acoustic oscillations and cosmological constraints · Physical review. D/Physical review. D. · 2025 · 725 citations
- KiDS-1000 cosmology: Cosmic shear constraints and comparison between two point statistics · Astronomy and Astrophysics · 2020 · 715 citations
- The Atacama Cosmology Telescope: DR4 maps and cosmological parameters · Journal of Cosmology and Astroparticle Physics · 2020 · 614 citations
- Hubble constant hunter’s guide · Physical review. D/Physical review. D. · 2020 · 602 citations
- Einstein-Gauss-Bonnet Gravity in Four-Dimensional Spacetime · Physical Review Letters · 2020 · 598 citations
- Cosmology in f ( Q ) geometry · Physical review. D/Physical review. D. · 2020 · 556 citations
Most recent work
- SPT-3G D1: CMB temperature and polarization power spectra and cosmology from 2019 and 2020 observations of the SPT-3G main field · Physical review. D/Physical review. D. · 2026
- Cosmological constraints on Galileon dark energy with broken shift symmetry · Physical review. D/Physical review. D. · 2026
- The quintom theory of dark energy after DESI DR2 · National Science Review · 2026
- BAO miscalibration cannot rescue late-time solutions to the Hubble tension · Physical review. D/Physical review. D. · 2026
- How Gaussian can our Universe be? · Utrecht University Repository (Utrecht University) · 2026
- Robust evidence for dynamical dark energy in light of DESI DR2 and joint ACT, SPT, and Planck data · Physics of the Dark Universe · 2026
- Dark energy in light of DESI DR1 and Hubble tension · Physics Letters B · 2026
- How much has DESI dark energy evolved since DR1? · Physics of the Dark Universe · 2026
- Dark Energy Survey: Implications for cosmological expansion models from the final DES baryon acoustic oscillation and supernova data · Physical review. D/Physical review. D. · 2026
- Constraints on attractor models of inflation and reheating from P l a n c k , BICEP/Keck, ACT DR6, and SPT-3G data · Physical review. D/Physical review. D. · 2026
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