量子逻辑的认识论推导
An Epistemological Derivation of Quantum Logic
摘要：
本文论述了量子力学的基础。我们首先概述的特点，由于伯克霍夫和冯诺依曼，逻辑结构的理论，经典物理学和量子力学，布尔格和模格分别。然后，我们从我们所声称的任何物理理论的基本性质中推导出这些描述，即这样一个概念，即在这样一个理论中的一个量可以被分析成部分，并且这种分析的结果可以用具有底层布尔结构的语言来处理。我们将看到，在构造具有这些性质的理论模型的过程中，对于如何命名模型的元素，将产生不同的不可区分的可能性，也就是说，对于如何将它们与集合中的点相联系，将产生不同的可能性。取一个特定的可能性集合，给出经典物理学命题的通常布尔格。取所有的可能性--在某种意义上，所有可以被物理理论描述的事物的集合--给出了量子力学命题的晶格。这就给出了一种对量子力学的解释，它是这种可能描述的完整集合，是对世界的完整物理描述。
英文摘要：
This paper deals with the foundations of quantum mechanics. We start by outlining the characterisation, due to Birkhoff and Von Neumann, of the logical structures of the theories of classical physics and quantum mechanics, as boolean and modular lattices respectively. We then derive these descriptions from what we claim are basic properties of any physical theory - i.e. the notion that a quantity in such a theory may be analysed into parts and that the results of this analysis may be treated in languages with an underlying boolean structure. We shall see that in the course of constructing a model of a theory with these properties different indistinguishable possibilities will arise for how the elements of the model may be named, that is to say different possibilities arise for how they can be associated with points from Set. Taking a particular collection of possibilities gives the usual boolean lattice of the propositions of classical physics. Taking all possibilities - in a sense, the set of all things that may be described by physical theories - gives the lattice of quantum mechanical propositions. This gives an interpretation of quantum mechanics as the complete set of such possible descriptions, the complete physical description of the world.
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