发表机构
University of Oxford; National University of Singapore（牛津大学; 新加坡国立大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文在特定源、探测器和统计条件下重构量子表示与玻恩概率，证明无需坍缩公设的代数封闭性，并指出悖论源于过程与记录、概率与结果的混淆，进而追问数学与源架构的深层起源。
AI 中文摘要
量子力学能否在不作为基础理论的情况下仍然完备？在给定的源、探测器和统计条件下，我们重构了量子表示和玻恩概率，并证明了所承认的量子预测具有完全的代数封闭性，而无需坍缩公设。我们进一步表明，许多常见的量子悖论源于将相干过程与保留的记录相混淆，或将概率与已实现的结果相混淆。我们还探讨了数学整体或源架构本身是否源于更深层的结构。
英文摘要
Can quantum mechanics be complete without being fundamental? Under stated source, detector, and statistical conditions, we reconstruct the quantum representation and Born probabilities and prove complete algebraic closure of the admitted quantum predictions without requiring a collapse postulate. We further show that many familiar quantum paradoxes arise from conflating coherent processes with retained records or probabilities with realized outcomes. We also ask whether mathematics as a whole, or the source architecture itself, emerges from a deeper structure.
