---
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"title": "OP-QM-004 · Born 统计的动力学来源",
"title_en": "OP-QM-004 · Dynamical Origin of Born Statistics",
"category": "量子现象",
"summary": "线性受迫探测器的平均吸收功率与包络平方模成正比；固定每次吸收能量且泄漏、死时间和饱和可忽略时，得到事件率及时间、厚度积分后的条件位置分布。书稿还给出相位流等变性和非线性探测响应展开。这些是实际已得结果。",
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"source_chapter": "第五章",
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"已经得到的结果",
"仍需完成的研究",
"下一份可复核成果",
"适用范围与研究入口"
],
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"evidence_note": "NOT YET UNIQUELY TESTED · 已知波动现象是验收要求；独立源动力学与普适事件统计尚未闭合。",
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"missing_result": "建立拓扑核、伴随场与探测单元阵列的非线性竞争动力学，求单次激发只形成一个记录的机制；从可独立说明的初态族检验是否弛豫到 Born 型分布，并处理效率、法向流权重、时间窗及噪声校准。",
"deliverable": "先交付一种明确探测装置的完整响应模型、守恒账目、事件定义和校准流程；给出单记录性及初态收敛的证明、数值结果或反例，不把目标概率作为预置抽样规则。",
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---
## 已经得到的结果
线性受迫探测器的平均吸收功率与包络平方模成正比；固定每次吸收能量且泄漏、死时间和饱和可忽略时，得到事件率及时间、厚度积分后的条件位置分布。书稿还给出相位流等变性和非线性探测响应展开。这些是实际已得结果。
## 仍需完成的研究
建立拓扑核、伴随场与探测单元阵列的非线性竞争动力学，求单次激发只形成一个记录的机制；从可独立说明的初态族检验是否弛豫到 Born 型分布，并处理效率、法向流权重、时间窗及噪声校准。
## 下一份可复核成果
先交付一种明确探测装置的完整响应模型、守恒账目、事件定义和校准流程；给出单记录性及初态收敛的证明、数值结果或反例，不把目标概率作为预置抽样规则。
## 适用范围与研究入口
等变性保证已匹配初态的保持，不证明任意初态收敛；均匀效率也不能在法向流速度变化时单独把计数分布化成裸平方模。
[detection statistics](/theory/quantum/detection-statistics) · [master equation](/theory/space-dynamics/master-equation) · [electron solution](/open-problems/matter/electron-solution) · [quantum](/theory/quantum)