It is shown that holographic cosmology implies an evolving Hubble radius c ^ { -1 } \dot { R } _ { H } = -1 + 3 \Omega _ { m } in the presence of a dimensionless matter density \Omega _ { m } scaled to the closure density 3 H ^ { 2 } / 8 \pi G , where c denotes the velocity of light and H and G denote the Hubble parameter and Newton ’ s constant .
It reveals a dynamical dark energy and a sixfold increase in gravitational attraction to matter on the scale of the Hubble acceleration .
It reproduces the transition redshift z _ { t } \simeq 0.4 to the present epoch of accelerated expansion and is consistent with ( q _ { 0 } , ( dq / dz ) _ { 0 } ) of the deceleration parameter q ( z ) = q _ { 0 } + ( dq / dz ) _ { 0 } z observed in Type Ia supernovae .