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Abstract

Motivated by exploring the interface between thermodynamics of spacetime and
quantum gravity effects, we develop a heuristic derivation of Hawking
temperature and Bekenstein entropy from the existence of a minimal resolvable
area. Moreover, we find leading order quantum gravity corrections to them that
are in qualitative agreement with results obtained by other methods, both
heuristic and rigorous. In this way, we recover, as a particular case, the
corrections heuristically obtained from the existence of minimal length. We
also show that the size of minimal area is constrained from above by well
understood results of semiclassical black hole physics, specifically by the
entropy content of Hawking radiation. The minimal area derivation we introduce
is also applied to finding the Unruh temperature associated with causal
diamonds and to establish a new relation between this temperature and the
entropy of the causal diamond's horizon.