Charting the Dense Matter Frontier: QCD at Extreme Conditions
This review explores recent advances in understanding the phase structure of quantum chromodynamics at high baryon densities, revealing insights into the behavior of matter within neutron stars and beyond.

![The study of Hayward-like quantum theories of gravity reveals that spacetime curvature, as quantified by the Kretschmann scalar [latex]\alpha^{2}R\_{abcd}R^{abcd}[/latex], reaches a maximum in vacuum solutions and becomes increasingly pronounced with increasing parameters <i>D</i> and <i>N</i>, suggesting a fundamental limit to the theoretical construction of spacetime itself as defined by these parameters.](https://arxiv.org/html/2603.10110v1/x4.png)
![The emitted scalar energy flux from binary systems at a fixed orbital radius of [latex]p/M = 8[/latex] varies predictably with eccentricity and inclination, demonstrating that the magnitude of this flux-normalized across all examined spins-is strongly influenced by the system’s spin parameter [latex]a/M[/latex] for orbital configurations where [latex]\ell = m = 1[/latex].](https://arxiv.org/html/2603.10116v1/plots/Fig13.png)
[/latex]-and this relationship extends to anti-de Sitter space, which shares conformal equivalence with portions of these geometries.](https://arxiv.org/html/2603.10117v1/x2.png)
![The measured limit on the interaction between axions and photons-at [latex]m_a = 34\,\mu\text{eV}[/latex]-establishes a new benchmark, positioning this research alongside existing efforts to detect these weakly interacting particles.](https://arxiv.org/html/2603.10943v1/x8.png)