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.

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