AI 中文总结
本博士论文发展玻尔纲领，将认知约束作为本体-认知原始概念，联合量子力学与认知约束推导新物理结论，明确了玻恩规则及幺正变换的适用时机。
AI 中文摘要
本博士论文聚焦量子理论基础，分离并形式化了一个具有物理相关性的概念，我将其称为“认知约束”。此处的认知约束是指描述实验时所依据的明确、主体间可达成一致的日常语言条件。量子测量问题的常规表述，我称之为薛定谔式测量问题，具有反常结构：若从字面理解量子理论，我们预期不存在确定值，但实验中却观测到了确定值。对该问题的回应要么是解决它，要么是消解它。这些回应采取了量子力学的诠释、修正或重构形式，要么试图从量子力学内部或其适当修正中推导认知约束（某些诠释和修正方案属于此类），要么将认知约束或其部分内容设定为原始假设，目标是推导出量子力学（部分重构方案属于此类）。与具有反常结构的薛定谔式测量问题不同，本论文发展了玻尔纲领，其结构类似历史上与欧几里得第五公设相关的问题（因缺乏更好的类比）。该纲领从本体-认知意义上将认知约束作为原始概念保留，随后通过联合考量量子力学与认知约束来推导新的物理结论，而非试图从一方推导出另一方。在诸多结果中，这引出了可实例化概率的概念，该概念定义了玻恩规则的适用时机，以及何时对量子态应用幺正变换。
英文摘要
This doctoral dissertation on the foundations of quantum theory isolates and then formalizes a physically relevant concept that I have called "Epistemic Constraint." Here, epistemic constraints are the definite, intersubjectively agreeable, ordinary-language conditions under which experiments are described. The usual formulation of the quantum measurement problem, which I call the Schrodingerian measurement problem, has the structure of an anomaly: if we take quantum theory at face value, we expect no definite values, and yet we see definite values in experiments. The responses to this problem have been either to solve it or to dissolve it. These responses, which have taken the form of interpretation, modification, or reconstruction of quantum mechanics, seek either to derive (conceptually or mathematically) epistemic constraints from within quantum mechanics or suitable modifications of it, as is the case with certain interpretations and modifications, or to posit the epistemic constraint, or parts of it, as a primitive assumption with the goal of deriving quantum mechanics, as is the case in some reconstruction programs. In contrast to the Schrodingerian measurement problem, which had the structure of an anomaly, this dissertation develops the Bohrian Program, which (for lack of a better comparison) has a structure similar to the problem historically associated with Euclid's fifth postulate. It seeks to keep epistemic constraints as primitive in an onto-epistemic sense. It then seeks new physical conclusions from the joint consideration of quantum mechanics and epistemic constraints, without seeking to derive one from the other. Among other results, this leads to a notion of the probability of instantiability of the Born Rule that specifies when to apply the Born Rule and when to apply a unitary transformation to a quantum state.
Comments188 pages, Ph.D dissertation, University at Albany, State University of New York: https://scholarsarchive.library.albany.edu/etd/514/
