论文标题

量子纠缠和时空的不可定位性

Quantum entanglement and the non-orientability of spacetime

论文作者

Racorean, Ovidiu

论文摘要

在ADS/CFT对应关系的背景下,我们认为CFTS侧的纠缠程度决定了双重全局时空上的空间和时间的方向。也就是说,全球时空双重到纠缠的田间理论副本是不可定向的,而CFTS的产物状态导致了可定向的时空。结果,脱离了CFT两份副本之间的自由度,这意味着在重力侧,从不可方向的时空到具有空间和时间的确定方向,因此可以定位时空的过渡。我们得出的结论表明,通过减少两组自由度之间的纠缠而引起的拓扑变化对应于拓扑击倒操作。

We argue, in the context of Ads/CFT correspondence, that the degree of entanglement on the CFTs side determines the orientation of space and time on the dual global spacetime. That is, the global spacetime dual to entangled copies of field theory is non-orientable, while the product state of the CFTs results in an orientable spacetime. As a result, disentangling the degrees of freedom between two copies of CFT implies, on the gravity side, the transition from a non-orientable spacetime to a spacetime having a definite orientation of space and time, thus an orientable spacetime. We conclude showing that topology change induced by decreasing the entanglement between two sets of degrees of freedom corresponds to a topological blow down operation.

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