摘要:This paper studies the geometry and the thermodynamics of a holographic
screen in the framework of the ultraviolet self-complete quantum
gravity. To achieve this goal we construct a new static, neutral, nonrotating
black hole metric, whose outer (event) horizon coincides with the surface of
the screen. The spacetime admits an extremal configuration corresponding to the minimal holographic screen and having both mass and radius
equalling the Planck units. We identify this object as the spacetime fundamental building block, whose interior is physically unaccessible and cannot
be probed even during the Hawking evaporation terminal phase. In agreement with the holographic principle, relevant processes take place on the
screen surface. The area quantization leads to a discrete mass spectrum. An
analysis of the entropy shows that the minimal holographic screen can store
only one byte of information, while in the thermodynamic limit the area law
is corrected by a logarithmic term.