Speaker
Description
Many pieces of evidence point to existence,
at least at en effective level,
of a lower limiting length of quantum origin.
A mathematical tool is here presented which accomplishes the task
of endowing spacetime with a description of distances
with a minimum length incorporated, meaning that distances between
any two space or time separated points tend to a finite limit
when the points go to coincide.
We show how this construction can be meant to include also
the case of null separated points (in spite of being distances
identically vanishing for them).
The latter possibility turns
out to be relevant for describing the evolution
of (quantum) horizons, as their generators are null;
in particular it predicts
that their area can change only by finite (and calculable) amounts.
We speculate on the possibility to see this quantum effects
in the gravitational wave signal from the inspiral phase
of binary black hole coalescences.
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