AI 中文总结
该研究利用弦色散关系对引力有效场理论进行低碰撞参数自举，通过程函谱支持探究剩余谱位置。在有限网格上发现极值谱有黑洞尺度带等特征，极点减法自举能解析相关结构，为引力小碰撞参数完备性研究提供新视角。
AI 中文摘要
我们使用弦色散关系（SDR）研究引力有效场理论（EFT）的低碰撞参数自举。纳入程函谱支持后，我们探究部分波空间中剩余谱的支持位置。在有限网格上，极值谱并非毫无特征：在被检查的允许EFT边界的很大一部分上，出现了一个跟踪一阶吉丁斯 - 波尔托旋转黑洞尺度的帽状饱和低碰撞带，同时还有一个单独的类似雷杰的高自旋脊。黑洞带和程函输入层之间的广阔区域可供优化器使用，但基本为空。间隙虽可用但代价高昂；黑洞尺度带是有上限且有用的。因此，极点减法自举充当了引力小碰撞参数完备性的显微镜：它解析出有组织的黑洞尺度和类似雷杰的结构，而非无特征的剩余连续体。
英文摘要
We use the stringy dispersion relation (SDR) to ask the following question about gravitational effective field theories: once the universal large-impact-parameter eikonal carrier is supplied, where does the remaining positive spectrum go? Working in six dimensions for concreteness, we include the complete high-spin continuum tail of the carrier and first work at weak coupling, where $M_{\rm Pl}>M_{\rm EFT}$. The extremal spectra contain a saturated low-impact band whose outer edge stays at roughly five to six times the inverse EFT scale even as the gravitational radius shrinks. The same edge is reproduced by a strict $G_N=0$ capped-SDR problem on the present grids. Thus the weak-coupling band approaches an intrinsic non-gravitational baseline of the capped extremal problem. On a common high-energy grid, a coupling ladder crossing $M_{\rm Pl}=M_{\rm EFT}$ resolves the cap-saturated support as a wedge: its outer envelope has the rotating black-hole homogeneity $G_N^{1/3}E^ {4/3}$, while its approximately linear lower envelope flattens as $G_N$ grows. We then use the deliberately reversed hierarchy $M_{\rm Pl}<M_ {\rm EFT}$ as a microscope for strong-gravity structure. In this regime a cap-saturated low-impact band follows an order-one Giddings-Porto rotating black-hole scale, a separate Regge-like ridge appears at high spin and low energies, the broad available region between these structures and the eikonal layer remains mostly empty, while at the far-tail of energy, series of Regge trajectories emerge.
CommentsImproved arguments and presentation, 59 pages, 16 figures; code and data-generation scripts updated
