Quantum states for a minimum-length spacetime
arXiv:2105.07764 · doi:10.3390/particles5040033
Abstract
Starting from some results regarding the form of the Ricci scalar at a point 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 , 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.
arXiv commentv2: 14 pages, some editing/clarifications, references added
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