  A generic implication of incorporating gravitational effects in the analysis
of quantum measurements is the existence of a zero-point length of spacetime.
This requires an inherently non-local description of spacetime, beyond the
usual one based on metric $g_{ab}(x)$ etc. The quantum spacetime should instead
be reconstructed from non-local bi-tensors of the form $\mathscr{G}_{ab \ldots
i'j' \ldots}(x,x')$. A deeper look then reveals a subtle interplay interplay
between non-locality and the limit $G\hbar/c^3 \to 0$. In particular, the so
called emergent gravity paradigm -- in which gravitational
dynamics/action/spacetime are emergent and characterised by an *entropy
functional* -- arises as the Cheshire grin of a fundamentally non-local quantum
spacetime. This essay describes the flow of metric with respect to Planck
length, and proposes a novel action for the same.
