Quantum Holography from Fermion Fields

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

Quantum Holography from Fermion Fields

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

The reason for the Cosmological Constant Problem and a possible resolution

In this study we will show how quantum mechanics has failed to estimate the precise value of the cosmological constant because it uses the Planck mass/unit as the cut off. Since the expression for the Planck mass is numerically incorrect. This paper will show how a modification of the Planck unit gives a more accurate value and also fixes the long standing cosmological constant problem.

Cosmological Neutrino Background and Connected Problems

Applying the formulae derived by us (A. Sapar 1964) for the Universe filled with baryonic matter and decoupled particles (photons and massive neutrinos), a scenario of evolution of the Universe is studied. The dark energy can be treated as the kinetic energy excess over the potential energy of all particles in the hyperbolic Universe which is going to its new, kinetic energy dominated epoch of evolution. The dark mass can be due to slowly moving rest-mass neutrinos, crossing the galaxies where they form wide iso-potential (constant orbital velocity) shells. The real Big Bang is assumed to precede the Planck unit time and this removes necessity of the later inflation phenomenon. The possibility to modify the equations of cosmology into the non-local ones by gravitational potential of the Universe is shortly discussed.