  We do the exercise of thinking the qualitative features of a new model in
which the problems of Dark Matter (DM) and the Cosmic Microwave Background
(CMB) homogeneity are apparently simultaneously solved. We consider that DM
consists of fields that evolve backward in time and have a positive defined
energy to provide the correct observed curvature of space. We postulate that
these fields do not interact with SM fields other than by sharing the same
metric, therefore physics in small curvature regimes is causal, without
contradictions with available experiments. In strongly curved space causality
is lost and solutions must fulfill given equations. The homogeneity problem is
naturally solved by these DM fields since, evolving from our future to our
past, they bring patches that are currently thought to be causally disconnected
into thermal equilibrium for $t\gtrsim 0$ by the Big Bang time. This thermal
equilibrium of DM fields in a strongly curved regime must be shared by the
metric and our fields, therefore we see these patches with the same CMB
temperature. Although we find unlikely that Nature is described by this theory,
we find interesting to conclude that there are not obvious logical nor
observational inconsistencies and we explore its features. Hopefully some
thoughts and results in this work may be useful for other ideas.
