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arXiv · 2212.10652

Wormholes, geons, and the illusion of the tensor product

Adam Bzowski
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Abstract

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.

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Adam Bzowski. 2022-12-20. Wormholes, geons, and the illusion of the tensor product. https://doi.org/10.1007/jhep03(2023)244

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