  We show that the metric (line element) is the first geometrical object to be
associated to a discrete (quantum) structure of the spacetime without necessity
of black hole-entropy-area arguments, in sharp contrast with other attempts in
the literature. To this end, an emergent metric solution obtained previously in
[Physics Letters B 661, 186-191 (2008)] from a particular non-degenerate
Riemmanian superspace is introduced. This emergent metric is described by a
physical coherent state belonging to the metaplectic group Mp (n) with a
Poissonian distribution at lower n (number basis) restoring the classical
thermal continuum behaviour at large n (n ! 1), or leading to non-classical
radiation states, as is conjectured in a quite general basis by mean the
Bekenstein- Mukhanov effect. Group-dependent conditions that control the
behavior of the macroscopic regime spectrum (thermal or not), as the
relationship with the problem of area / entropy of the black hole are presented
and discussed.
