Quantum states for a minimum-length spacetime

Abstract

Starting from some results regarding the form of the Ricci scalar at a point $P$ in a spacetime endowed with a minimum distance, we investigate how they might be accommodated, specifically for the case of null separations, in a as-simple-as-possible quantum structure for spacetime at $P$, and we try to accomplish this in terms of potentially operationally-defined concepts. In so doing, we provide a possible explicit form for the operator expressing the Ricci scalar as a quantum observable, and give quantum-informational support, thus regardless of or before field equations, to associating with a patch of horizon an entropy proportional to its area.

v2: 14 pages, some editing/clarifications, references added

References in corpus (6)

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• Grin of the Cheshire cat: Entropy density of spacetime as a relic from quantum gravity
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Cited by in corpus (2)

• Information content and minimum-length metric: A drop of light
• Conditions for graviton emission in the recombination of a delocalized mass