标题： 非对易量子引力的爱因斯坦-波多尔斯基-罗森实验 显示英文标题

标题： Einstein-Podolski-Rosen Experiment from Noncommutative Quantum Gravity

摘要： 证明了爱因斯坦-波多尔斯基-罗森类型的实验是将广义相对论和量子力学非对易统一的群胚方法的自然结果。 该模型的几何由群胚 G = E x D 上复值紧支函数（以卷积为乘法）的非对易代数确定。在本文考虑的模型中，E 是时空上的标架丛的全空间，D 是洛伦兹群。 EPR 类型的相关性应被视为低于普朗克阈值的完全非局域物理的残余，该物理由非对易几何建模。 显示英文摘要

摘要： It is shown that experiments of the Einstein-Podolski-Rosen type are the natural consequence of the groupoid approach to noncommutative unification of general relativity and quantum mechanics. The geometry of this model is determined by the noncommutative algebra of complex valued, compactly supported functions (with convolution as multiplication) on the groupoid G = E x D. In the model considered in the present paper E is the total space of the frame bundle over space-time, and D is the Lorentz group. Correlations of the EPR type should be regarded as remnants of the totally non-local physics below the Planck threshold which is modelled by a noncommutative geometry.