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In this work we describe a black hole, set on a non-commutative background.The model, which is relatively simple, is an exact solution of the EinsteinField Equations. Based on a proposition we put forward, we argue thatintroducing a matter density field on a non-commutative background sets up amechanism that deforms the field into two distinct fields, one residingdominantly on the lattice tops (hereafter, on-cell) and the other residingdominantly in the inter-lattice regions (hereafter, off-cell). The two fieldshave different physical and themodynamic characterics which we describe, andsome of which play a role in halting collpse to a singularity. For example, notsurprisingly the on-cell (off-cell) fields manifest standard on-shell(off-shell) characteristics, respectively. Both the density and the netmass-energy are unchanged by the deformation mechanism. In our treatment themass of a black hole defines its own size scale L of the interior region itoccupies. Moreover, such a length is quantized, L=2N\sqrt{\theta}, in terms ofa minimum length scale \sqrt{\theta}. The approach has the advantage that thereis no degeneracy in mass-confinement since, here, the black hole density is nota function of the mass (as is the case in some recent treatments). The densityis, instead a fixed quantity. As such, the approach puts an upper bound onblack hole density, making it a universal parameter. The picture that emergesis that a black hole defined on a non-commutative background is bothnon-singular, holographic and quantized. Yet we also find, interestingly, thatwhen taken over L the average value of the associated energy-stress tensor ofthe fields satisfies all classical energy conditions of GR.

A black hole cast on a non-commutative background