AI 中文总结
本文通过对GMG黑洞开展三阶Sorce-Wald思想实验，证实弱宇宙监督在三阶下成立，结合沼泽地距离猜想进一步强化该结论并放宽弱引力猜想的荷质比边界。
AI 中文摘要
我们扩展了爱因斯坦-麦克斯韦-伸缩子（EMD）理论中关于宇宙监督与弱引力猜想（WGC）的早期分析，对静态带电Gibbons-Maeda-Garfinkle-Horowitz-Strominger（GMG）黑洞开展了完整的高阶Sorce-Wald思想实验。在探针极限下，极端GMG黑洞可被测试粒子明显过荷，看似违反弱宇宙监督猜想（WCCC），而这仅为Iyer-Wald形式体系中的一阶变分恒等式。该漏洞可通过纳入箍缩猜想的反作用或进一步包含二阶变分恒等式来闭合。本文中，我们明确计算了三阶变分恒等式，极端性参数η在三阶微扰阶仍保持非负，证实了WCCC的保护作用，尽管Lu等人的模型无关证明存在全阶推广的表观失效。我们进一步结合沼泽地距离猜想（SDC）：由此产生的无限轻带电态塔会在远小于2M的时间尺度τ上使任何潜在过荷构型放电，其速度比视界被破坏的速度快得多，从而在动力学区域强化了WCCC，并大幅放宽了原始WGC的荷质比边界。
英文摘要
We extend the earlier analysis of cosmic censorship and the Weak Gravity Conjecture (WGC) in Einstein--Maxwell-dilaton (EMD) theory by performing a complete higher-order Sorce--Wald gedankenexperiment on the static charged Gibbons--Maeda--Garfinkle--Horowitz--Strominger (GMG) black hole. In the probe limit, an extremal GMG black hole can apparently be overcharged by a test particle, seemingly violating the weak cosmic censorship conjecture (WCCC), which is nothing but first-order variational identity in the Iyer--Wald formalism. This window can be closed by either incorporating backreaction via the Hoop Conjecture or further including second-order variational identities. In this paper, we explicitly compute third-order variational identities. The extremality parameter eta remains non-negative to the third perturbative orders confirming WCCC protection, regardless of the apparent failure of all-order generalization, model-independent proof of Lu, et al.. We further incorporate the Swampland Distance Conjecture (SDC): the resulting infinite tower of light charged states discharges any would-be overcharged configuration on a timescale tau much less than 2M, exponentially faster than a horizon can be destroyed, reinforcing WCCC in dynamical regimes and strongly relaxing the original WGC charge-to-mass bound.
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