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

他和他的一些合作者一起，研究了在非局部理论中，拓扑缺陷的性质将如何改变。作为一个具体的例子，他考虑了域壁，并能够在某些区域和/或扰动下找到显式解析解，尽管非线性无限阶常微分方程组很复杂。根据应力-能量张量，他估计了能量密度，并证明了非局域效应使磁区壁的宽度变薄，单位面积的能量比局域情况小。他与他的一些合作者在非常合理的假设下，推导出了对著名的贝肯斯坦界限的量子引力修正，该界限限制了可以存储在特定半径内的能量/信息量。

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.