发表机构
RIKEN（理化学研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文重构量子共振与黑洞QNM等价性的历史谱系，梳理二者从核衰变、黑洞微扰到散射-共振理论的发展脉络，提供对应概念对照表，明确区分数学等价性与历史谱系。
AI 中文摘要
量子共振与黑洞准正规模式（QNM）由紧密相关的数学描述：辐射边界条件、格林函数或预解式的解析延拓、非物理叶上的极点以及非自伴谱表示。本文不引入这种等价性，而是重构其谱系。核共振理论源于放射性衰变、反应截面、亚稳复合态与复能量，而黑洞微扰理论源于时空稳定性与因果响应。我们将这两项发展置于共同的时间线中，从索末菲辐射条件与早期核衰变理论，到雷杰-惠勒微扰、维什韦什瓦拉1968年的学位论文与1970年的论文、普雷斯1971年的准正规术语，以及独立的阿吉拉尔-巴尔斯莱夫-康布斯解析伸缩理论，随后追踪它们在散射-共振理论中的后续数学统一。除时间线外，我们还提供实用对照表，关联无入射条件与视界入射/无穷远出射条件、极点能量与复频率、宽度与阻尼率、留数与激发因子，以及非共振背景与分支切割和瞬时贡献。目标是使跨学科等价性可操作，同时不淡化其历史，并区分数学等价性与历史谱系。
英文摘要
Quantum resonances and black-hole quasinormal modes (QNMs) are described by closely related mathematics: radiative boundary conditions, analytic continuation of Green functions or resolvents, poles on nonphysical sheets, and non-self-adjoint spectral representations. This article does not introduce that equivalence but reconstructs its genealogy. Nuclear resonance theory grew from radioactive decay, reaction cross sections, metastable compound states, and complex energies, whereas black-hole perturbation theory grew from spacetime stability and causal response. We place the two developments on a common chronology, from Sommerfeld's radiation condition and early nuclear-decay theory through Regge--Wheeler perturbations, Vishveshwara's 1968 dissertation and 1970 papers, Press's 1971 quasi-normal terminology, and the independent Aguilar--Balslev--Combes theory of analytic dilation, then follow their later mathematical reunification in scattering-resonance theory. Alongside the chronology, we give a working dictionary relating no-incoming and horizon-ingoing/infinity-outgoing conditions, pole energy and complex frequency, width and damping rate, residues and excitation factors, and nonresonant background with branch-cut and prompt contributions. The aim is to make the cross-disciplinary equivalence operational without flattening its history, and to distinguish mathematical equivalence from historical genealogy.
Comments40 pages, 1 figure
