繰り込み可能かつユニタリーな重力理論の探求：理論的・現象論的観点より

与他的一些合作者一起，他研究了拓扑缺陷的性质如何在非局部理论中改变。作为一个具体的例子，他考虑了一个域壁，并且能够在某些区域和/或摄动下找到显式解析解，尽管非线性无限阶微分方程很复杂。从应力-能量张量中，他估计了能量密度，并表明非局部效应使畴壁的宽度变薄，单位面积的能量比局部情况小。与他的一些合作者一起，在非常合理的假设下，他推导出了著名的贝肯斯坦边界的量子引力修正，该边界限制了可以存储在一定半径内的能量/信息的数量。

Together with some of his collaborators, he investigated how the property of a topological defect would be changed in non-local theory. As a concrete example, he considers a domain wall and is able to find explicit analytic solutions in some regime and/or perturbatively despite the complexity of non-linear infinite-order differential equations. From the stress-energy tensor, he estimates the energy density, and shows that nonlocal effects make the width of the domain wall thinner, and the energy per unit area smaller as compared to the local case.Together with some of his collaborators, under very reasonable assumptions, he derived quantum-gravitational corrections to the famous Bekenstein bound which limits the amount of energy/information that can be stored inside a certain radius.