Secondary inflation? YES, but a little bit different according to Quantum FFF theory..
Dark matter ( black hole) inflation comes first and then plasma creation out of the Higgsfield vacuum.
Q-FFF theory is saying: the BIG bang is a splitting (external charged) Dark Matter Black Hole.
Dual dark matter BHs create plasma concentration in between ( out of the vacuum,not out of the BBang!!) creating a giant star and after a continuous hyper nova process, later a spiral galaxy and by merging into an elliptical galaxy. see:
https://www.flickr.com/photos/93308747@N05/albums/72157655834682834
and: http://www.sciencedaily.com/releases/2016/01/160114213454.htm
and Inflatable dark matter: http://arxiv.org/pdf/1507.08660v1.pdf
