One might be tempted to consider gravity as an aspect of a greater brane which causes inertia, but this won't specifically work since the entire universe is a gravitational field sourced in the 'allness' and 'concentrated' at spots of accumulated mass. The physical processes of the universe would be variable depending upon the mass neighborhood, upsetting the extreme balance of the whole.
The only other speculation I've seen which speaks of temporal phases wrt to the "origin of inertia" question is here.
A brane translates to a membrane in my way of looking at the space/time continuum. A field, OTOH, exists at all points of space/time (regardless of dimensions.)