论文标题
虫洞，岩石和张量产品的幻觉
Wormholes, geons, and the illusion of the tensor product
论文作者
论文摘要
在本文中，我认为全息，可穿越的虫洞状态的希尔伯特空间不会分解到边界希尔伯特空间的张量产物中。在提出了一般论点之后，我分析了两个示例：BTZ Geon和ADS $ _2 $ ETERNAL虫洞的标量扇区。利用实时全息图，我得出了希尔伯特空间，确定双重状态并评估相关函数。我表明，一旦考虑到\ textit {a先验}，就会出现与虫洞和黑洞物理学相关的特殊性数量。这包括无效的持续运算符，高度纠缠的真空状态以及跨边界的相互作用，它们都是非物质化的化身。
In this paper I argue that the Hilbert space of states of a holographic, traversable wormhole does not factorize into the tensor product of the boundary Hilbert spaces. After presenting the general argument I analyze two examples: the scalar sectors of the BTZ geon and the AdS$_2$ eternal wormhole. Utilizing real-time holography I derive the Hilbert spaces, identify the dual states and evaluate correlation functions. I show that the number of peculiarities associated with the wormhole and black hole physics emerges once the factorization is \textit{a priori} assumed. This includes null states and null operators, highly entangled vacuum states and the cross-boundary interactions all emerging as avatars of non-factorization.
