Lowest Order Mass of KK Graviton Revisited and How It May Affect the Blue Spectrum for Gravitons

摘要

The lowest order mass for a KK graviton, as a non-zero product of two branes interacting via a situation similar to Steinhardt’s ekpyrotic universe is obtained, as to an alternative to the present dogma specifying that gravitons must be massless. The relative positions as to the branes give a dynamical picture as to how lowest order KK gravitons could be affected by contraction and then subsequent expansion. Initially we have bulk gravitons as a vacuum state. The massless condition is just one solution to a Stern Liuouville operator equation we discuss, which with a non-zero lowest order mass for a KK graviton permits modeling of gravitons via a dynamical Casmir effect which we generalize using Ruser and Duerrer’s 2007 work. In particular the blue spectrum for (massless gravitons), is revisited, with consequences for observational astrophysics.