Quantum Penrose Inequality

作为量子引力低能极限约束的彭罗斯不等式

The Penrose Inequality as a Constraint on the Low Energy Limit of Quantum Gravity

本研究将AdS彭罗斯不等式作为新沼泽地条件约束量子引力低能极限，构建违反该不等式的标量初值数据，证明主能量条件下不等式成立，给出零能量条件下违反的解析条件及弦论势的排除结果。

Static black hole uniqueness and Penrose inequality

Under certain conditions, we give a new way to prove the uniqueness of static black hole in higher dimensional asymptotically flat spacetimes. In the proof, the Penrose inequality plays a key role in higher dimensions as well as four dimensions.

The Riemannian Penrose inequality and a virtual gravitational collapse

We reinterpret the proof of the Riemannian Penrose inequality by H. Bray. The modified argument turns out to have a nice feature so that the flow of Riemannian metrics appearing Bray's proof gives a Lorentzian metric of a spacetime. We also discuss a possible extension of our approach to charged black holes.

On the Penrose Inequality for general horizons

For asymptotically flat initial data of Einstein's equations satisfying an energy condition, we show that the Penrose inequality holds between the ADM mass and the area of an outermost apparent horizon, if the data are restricted suitably. We prove this by generalizing Geroch's proof of monotonicity of the Hawking mass under a smooth inverse mean curvature flow, for data with non-negative Ricci scalar. Unlike Geroch we need not confine ourselves to minimal surfaces as horizons. Modulo smoothness issues we also show that our restrictions on the data can locally be fulfilled by a suitable choice…

余维一作用初始数据的时空彭罗斯不等式

The Spacetime Penrose Inequality for Cohomogeneity One Initial Data

本文证明余维一对称初始数据集的时空彭罗斯不等式，推广球对称情形，并处理时间对称下所有余维一作用。

量子黑洞的量子不等式

Quantum inequalities for quantum black holes

本文提出了适用于三维渐近反德西特量子黑洞的改进版量子 Penrose 不等式和反向等周不等式，在任意阶反反应下均成立，揭示了非微扰半经典引力中的宇宙审查及固定体积下的最大熵状态。

论黑洞中的经典、彭罗斯和逆向等周不等式：从AdS到平坦黎曼背景的洞见

On the Classical, Penrose, and Reverse Isoperimetric Inequalities in Black Holes: Insights From AdS to Flat Riemannian Backgrounds

本文证明违反逆向等周不等式的AdS和dS超熵黑洞热力学不稳定，并提出超熵黑洞无平坦极限及两个更强彭罗斯不等式等猜想。

When null energy condition meets ADM mass

We give a conjecture on the lower bound of the ADM mass $M$ by using the null energy condition. The conjecture includes a Penrose-like inequality $3M\geqκ\mathcal{A}/(4π)+\sqrt{\mathcal{A}/4π}$ and the Penrose inequality $ 2M\geq\sqrt{\mathcal{A}/{4π}}$ with $\mathcal{A}$ the event horizon area and $κ$ the surface gravity. Both the conjecture in the static spherically symmetric case and the Penrose inequality for a dynamical spacetime with spherical symmetry are proved by imposing the null energy condition. We then generalize the conjecture to a general dynamical spacetime. Our results raise a…

Quantum Information Bound on the Energy

According to the classical Penrose inequality, the mass at spatial infinity is bounded from below by a function of the area of certain trapped surfaces. We exhibit quantum field theory states that violate this relation at the semiclassical level. We formulate a Quantum Penrose Inequality, by replacing the area with the generalized entropy of the lightsheet of an appropriate quantum trapped surface. We perform a number of nontrivial tests of our proposal, and we consider and rule out alternative formulations. We also discuss the relation to weak cosmic censorhip.

AdS 中一个新的能量不等式

A new energy inequality in AdS

本文研究渐近 AdS 时空的时间对称初始数据，证明其能量满足一个与彭罗斯不等式类似的下界，该下界由可收缩圆对应的极小曲面面积决定。

重新审视带量子修正的旋转黑洞中的彭罗斯过程：对能量提取和不可约质量的启示

Revisiting the Penrose Process in Rotating Black Holes with Quantum Corrections: Implications for Energy Extraction and Irreducible Mass

本研究分析带量子修正参数的旋转黑洞中的彭罗斯能量提取过程，发现量子修正会改变黑洞几何结构、提升能量提取效率，推导了不可约质量表达式，揭示量子修正对黑洞能量学的显著影响。

含非线性电动力学的旋转爱因斯坦-玻恩-因费尔德黑洞中的彭罗斯过程效率与不可约质量

Penrose Process Efficiency and Irreducible Mass in Rotating Einstein-Born-Infeld Black Holes with Nonlinear Electrodynamics

该研究针对旋转EBI黑洞的旋转能提取问题，推导了负能量轨道条件与最大提取效率闭式表达式，数值分析了电荷、玻恩-因费尔德参数等对效率及不可约质量的影响，构建了三者关联的统一图景。

Loosely trapped surface and dynamically transversely trapping surface in Einstein-Maxwell system

We study the properties of the loosely trapped surface (LTS) and the dynamically transversely trapping surface (DTTS) in Einstein-Maxwell systems. These concepts of surfaces were proposed by the four of the present authors in order to characterize strong gravity regions. We prove the Penrose-like inequalities for the area of LTSs/DTTSs. Interestingly, although the naively expected upper bound for the area is that of the photon sphere of a Reissner-Nordstroem black hole with the same mass and charge, the obtained inequalities include corrections represented by the energy density or pressure/ten…

Penrose铺砌是一种量子纠错码

The Penrose Tiling is a Quantum Error-Correcting Code

本文揭示非周期性Penrose铺砌可构成一种通过量子几何编码、并可纠正任意有限区域局部错误与擦除的新型量子纠错码，还给出基于Ammann-Beenker和Fibonacci铺砌的多种推广。