TITLE:
Holographic Bound in Quantum Field Energy Density and Cosmological Constant
AUTHORS:
Paolo Castorina
KEYWORDS:
Cosmological Constant; Holography; Quantum Fields
JOURNAL NAME:
Journal of Modern Physics,
Vol.4 No.6,
June
17,
2013
ABSTRACT: The cosmological constant problem is reanalyzed by imposing the limitation of the number of degrees of freedom (d.o.f.) due to entropy bounds directly in the calculation of the energy density of a field theory. It is shown that if a quantum field theory has to be consistent with gravity and holography, i.e. with an upper limit of storing information in a given area, the ultraviolet momentum cut-off is not the Planck mass, Mp, as naively expected, but where Nu is the number of d.o.f. of the universe. The energy density evaluation turns out completely consistent with Bousso’s bound on the cosmological constant value. The scale , that in the “fat graviton” theory corresponds to the graviton size, originates by a self-similar rearrangement of the elementary d.o.f. at different scales that can be seen as an infrared-ultraviolet connection.