论文标题
广义的可能理论:多部分实验问题
Generalized possibilistic Theories: the multipartite experiments problem
论文作者
论文摘要
在最近的一篇论文中,作者引入了对物理理论的操作描述,其中概率被属于三价(即可能的)语义域的反事实语句所取代。这些广义的可能理论的完整公理性在本文中被广义化和阐明。然后将两分实验的问题作为本文的主要技能。 给出了用于我们的状态空间的张量产品的公理,并明确构建了不同的溶液。 INF半晶格的张量产品的这种描述部分独立于此问题的通常数学描述。然后,还探索了正式配置INF半晶格的张量产物的性质。这个主题确实是在我们的框架内开发量子理论重建计划的基础。 我们的分析构成了迈向这一成就的第一步。
In a recent paper, the author introduced an operational description of physical theories where probabilities are replaced by counterfactual statements belonging to a three-valued (i.e. possibilistic) semantic domain. The complete axiomatic of these Generalized possibilistic Theories is generalized and clarified in the present paper. The problem of bipartite experiments is then addressed as the main skill of this paper. An axiomatic for the tensor product of our spaces of states is given and different solutions are explicitly constructed. This description of tensor products of Inf semi-lattices is partly independent from the usual mathematical description of this problem. The nature of the tensor product of orthocomplemented Inf semi-lattices is then also explored. This subject is indeed fundamental for the development of a reconstruction program for quantum theory within our framework. Our analysis constitutes a first step towards this achievement.