Spacetime-emergent ring toward tabletop quantum gravity experiments
Koji Hashimoto, Daichi Takeda, Koichiro Tanaka, Shingo Yonezawa

TL;DR
This paper proposes tabletop experiments to identify materials with holographic duals to higher-dimensional quantum gravity, using imaging transforms of response functions to detect spacetime emergence.
Contribution
It introduces a method to experimentally observe holographic spacetime emergence in ring-shaped materials via response function imaging.
Findings
Distinct imaging signatures in low temperature phase indicate spacetime emergence.
The method can be applied to quantum critical materials like TlCuCl₃.
Experimental parameters such as temperature and source frequency are estimated.
Abstract
We propose a way to discover, in tabletop experiments, spacetime-emergent materials, that is, materials holographically dual to higher-dimensional quantum gravity systems under the AdS/CFT correspondence. The emergence of the holographic spacetime is verified by a mathematical imaging transform of the response function on the material. We consider theories on a 1-dimensional ring-shaped material, and compute the response to a scalar source locally put at a point on the ring. When the theory on the material has a gravity dual, the imaging in the low temperature phase exhibits a distinct difference from the ordinary materials: the spacetime-emergent material can look into the holographically emergent higher-dimensional curved spacetime and provides an image as if a wave had propagated there. Therefore the image is an experimental signature of the spacetime emergence. We also estimate…
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Cosmology and Gravitation Theories · Quantum Electrodynamics and Casimir Effect
