量子理论的去通胀解释及其对复数的启示
A Deflationary Account of Quantum Theory and its Implications for the Complex Numbers
AI总结：
本文提出量子理论的不可分割解释，认为复数的必要性源于希尔伯特空间形式化作为马尔可夫嵌入的特性。
摘要：
为什么量子理论需要复数？本文旨在回答这一问题，认为通常的希尔伯特空间形式化是马尔可夫嵌入一般方法的特殊情况。本文还描述了量子理论的不可分割解释，即一个量子系统可以被视为在传统配置空间中展开的不可分割随机过程，其中波函数和其他奇特的希尔伯特空间成分被降级为不具有本体论地位。复数最终被需要以确保希尔伯特空间形式化确实是一个马尔可夫嵌入。
英文摘要：
Why does quantum theory need the complex numbers? With a view toward answering this question, I argue that the usual Hilbert-space formalism is a special case of the general method of Markovian embeddings. I then describe the `indivisible interpretation' of quantum theory, according to which a quantum system can be regarded as an `indivisible' stochastic process unfolding in an old-fashioned configuration space, with wave functions and other exotic Hilbert-space ingredients demoted from having an ontological status. The complex numbers end up being necessary to ensure that the Hilbert-space formalism is indeed a Markovian embedding.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
