Quantum Holography from Fermion Fields

In this paper, we demonstrate, in the context of Loop Quantum Gravity, Holographic Principle, according to which area boundary surface enclosing a region space encodes qubit per Planck unit. To aim, introduce fermion fields bulk, whose is two-dimensional sphere. The doubling fermionic degrees freedom and use Bogolyubov transformations lead pairs spin network’s edges piercing with double punctures, giving rise pixels encoding qubit. proof also valid case fuzzy