  The total number of degrees of freedom of a d-dimensional body in n-space is
derived so that equipartition of energy may be applied to a possibly
n-dimensional early universe. A comparison is made of a range of proposals to
include free and bound black holes as either a small component or the dominant
constituent of dark matter in the universe. The hypothesis that dark matter
consists in part of atomic gravitationally bound primordial black holes is
closely examined in 3-space, as well as in n-space; and the Chavda and Chavda
holeum hypothesis is found to be flawed. Blackbody and Hawking radiation are
generalized to n-space, and Hawking radiation is shown to be simply
proportional to the black hole density. The importance of quantum gravity in
understanding the role of early universe dark matter is undermined because
present approaches to a theory of quantum gravity violate the equivalence
principle. A general heuristic proof for geodesics on an expanding hypersphere
is presented. Classical limits of Einstein's General Relativity are considered.
A novel approach to the accelerated expansion of the universe is discussed. An
anomalous surprising aspect of 4-space is demonstrated.
